13 113

Honors Physics Name _______________________

Momentum ndash Review Date ________________________

1 A freight car of mass 20000 kg moves along a frictionless level railroad track with a constant speed of 15 ms What is the momentum of the car

A 30000 kgms B 3000 kgms C 300000 kgms D 3000000 kgms E 300 kgms

2 A 500 kg sailboat moves with a momentum of 150000 kgms What is the velocity of the boat

A300 ms B 3 ms C 30 ms D 3000 ms E 30000 ms

3 A cannon fires a cannonball and recoils backward Which of the following statements is true about the cannon recoil

A It happens because the energy of the system is conserved B It happens because the energy of the system is increased C It happens because the momentum of the system is not conserved D It happens because the momentum of the system is conserved E It happens because the momentum of the system is increased

4 What is the momentum of the cannon after firing a cannon ball with an initial momentum of 5000 kgms to the right

A 5000 kgms to the right B 5000 kgms to the left C zero D 2500 kgms to the right E 2500 kgms to the left

5 A platform moves at a constant velocity on a horizontal surface What happens to the velocity of the platform after a sudden rain falls down

A It increases because the energy is conserved B It decreases because the energy is conserved C It remains constant because the momentum is conserved D It increases because the momentum is conserved E It decreases because the momentum is conserved

13 213

6 A stationary skateboarder I with a mass of 50 kg pushes a stationary skateboarder II with a mass of 75 kg After the push the skateboarder II moves with a velocity of 2 ms to the right What is the velocity of the skateboarder I

A 3 ms to the left B 2 ms to the left C 1 ms to the right D 3 ms to the right E 2 ms to the right

7 A loaded freight car A with a mass of 24000 kg moves at a constant velocity of 8 ms on a horizontal railroad track and collides with an empty stationary car B with a mass of 8000 kg After the collision the cars stick to each other and moves like one object What is the velocity of two cars after the collision

A 2 ms B 4 ms C 6 ms D 8 ms D 12 ms

8 A 40 kg skateboarder runs at a constant velocity of 12 ms and jumps to a stationary skateboard with a mass of 8 kg What is the velocity of the skateboard after the jump

A 12 ms B 90 ms C 60 ms D 20 ms E 10 ms

9 An 80 kg diver jumps off a moving boat The boat has a mass of 400 kg and moves at a constant velocity of 2 ms What is the velocity of the boat after the jump if the diver jumps with a velocity of 3 ms in opposite direction to the initial velocity of the boat

A 2 ms B 3 ms C 4 ms D 5 ms E 6 ms

10 Block A with a mass 2m moves on a frictionless horizontal surface at a constant speed v and collides inelastically with B of mass m What is the velocity of two blocks after the collision

A v B v C

v D 120784

120785v E

v

11 Block A with a mass m moves on a frictionless

horizontal surface at a constant velocity v and collides elastically with an identical block B What is the velocity of block A after the collision

A 0 ms B v C v D

v E

v

13 313

12 Block A with a mass m moves on a frictionless horizontal surface at a constant velocity v and collides elastically with an identical block B What is the velocity of block B after the collision

A 0 ms B v C v D

v E

v

13 A 10 kg object moves at a constant velocity 2 ms to the right and collides with a

4 kg object moving at a velocity 5 ms to the left Which statement is correct A The total momentum before and after the collision is 20 kgms B The total momentum before and after the collision is 40 kgms C The total momentum before and after the collision is 10 kgms D The total momentum before and after the collision is 30 kgms E The total momentum before and after the collision is zero

14 When two objects collide elastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is lost C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

15 When two objects collide inelastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is not conserved C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

16 A light beach ball moving with a velocity 2 ms to the right collides elastically with a stationary bowling ball After the collision the bowling ball remains stationary What is the velocity of the beach ball after the collision

A 0 ms B 2 ms to the left C 4 ms to the left D 3 ms to the left E 1 ms to the left

17 A bowling ball moving with a constant speed v collides elastically with a stationary beach ball After the collision the bowling ball barely slows down What is an approximate speed of the beach ball after the collision

A v B v C

v D 2v E 3v

SKIP

SKIP

13 413

18 A big truck collides inelastically with a small car Which of the following

statements is true A The truck experiences the greater magnitude of impulse during the collision B The car experiences the greater magnitude of impulse during the collision C They experience the same magnitude of impulse during the collision D The impulse of each object is zero during the collision E More information is required

19 A tennis ball approaches a racket with a momentum of 5 kgms and bounces back with a momentum of 6 kgms after the collision with the racket What is the change in momentum of the tennis ball

A 1 kgms B 5 kgms C 6 kgms D 11 kgms E 0 kgms

20 A rubber ball moving with an initial momentum Pi collides elastically with a vertical wall Which of the following is correct about the vector of impulse that the ball experiences during the collision

A B C D

E

21 The force as a function of time is presented by the graph What is the impulse exerted on the object during first six seconds

A 40 Ns B 80 Ns C 120 Ns D 240 Ns E 360 Ns

13 513

22 A 45 kg woman runs at a speed of 56 ms What is her momentum

119901 = 119898119907

119901 = 45 119896119892 56119898119904 = 120784120787120782

119948119944119950119956 119952119955 120784120787120782 119925119956

23 A certain bowling ball rolls at a constant speed of 5 ms If the momentum of the

ball is 425 kgŁms what is its mass

119901 = 119898119907

119898 =119901119907 =

425 1198961198921198981199045 119898119904 = 120790120787 119948119944

24 What is the speed of a 025 kg arrow with a momentum of 8 kgms

119901 = 119898119907

119907 =119901119898 =

8 119896119892119898119904025 119898119904 = 120785120784

119950119956

25 A 001 kg bullet is fired at 250 ms into a wooden block that is fixed The bullet

emerges from the block with a speed of 120 ms What is the change in momentum of the bullet

∆119901 = 119898 119907 minus 119907 = 001 119896119892 120119898119904 minus 250

119898119904 = minus120783120785

119948119944119950119956

26 A 005 kg tennis ball moves at a speed of 10 ms and is struck by a racket causing

it to rebound in the opposite direction at a speed 16 ms What is the change in momentum of the ball What is the impulse exerted on the ball What is the impulse exerted on the racket

∆119901 = 119898 119907 minus 119907 = 005 119896119892 10119898119904 minusminus16

119898119904 = 120783120785

119948119944119950119956

119920119950119953119958119949119956119942 = 119917∆119957 = ∆119953 = 120783120785 119925119956minus 119956119938119950119942 119946119950119953119958119949119956119942 119952119951 119957119945119942 119939119938119949119949 119938119951119941 119957119945119942 119955119938119940119948119942119957 119939119958119957 119952119953119953119952119956119946119957119942 119956119946119944119951119956

27 Two football players with mass 85 kg and 110 kg run directly toward each other with speeds 4 ms and 7 ms respectively If they grab each other as they collide what is the combined speed of the players just after the collision

Object A Object B Inelastic Collision 119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 85119896119892 4119898119904 + (110119896119892)(minus7119898119904 )

(85 119896119892 + 110 119896119892)

119959119943 = minus120784120784119950119956

m 85 kg 110 kg v1 4 ms -7 ms v2

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 213

6 A stationary skateboarder I with a mass of 50 kg pushes a stationary skateboarder II with a mass of 75 kg After the push the skateboarder II moves with a velocity of 2 ms to the right What is the velocity of the skateboarder I

A 3 ms to the left B 2 ms to the left C 1 ms to the right D 3 ms to the right E 2 ms to the right

7 A loaded freight car A with a mass of 24000 kg moves at a constant velocity of 8 ms on a horizontal railroad track and collides with an empty stationary car B with a mass of 8000 kg After the collision the cars stick to each other and moves like one object What is the velocity of two cars after the collision

A 2 ms B 4 ms C 6 ms D 8 ms D 12 ms

8 A 40 kg skateboarder runs at a constant velocity of 12 ms and jumps to a stationary skateboard with a mass of 8 kg What is the velocity of the skateboard after the jump

A 12 ms B 90 ms C 60 ms D 20 ms E 10 ms

9 An 80 kg diver jumps off a moving boat The boat has a mass of 400 kg and moves at a constant velocity of 2 ms What is the velocity of the boat after the jump if the diver jumps with a velocity of 3 ms in opposite direction to the initial velocity of the boat

A 2 ms B 3 ms C 4 ms D 5 ms E 6 ms

10 Block A with a mass 2m moves on a frictionless horizontal surface at a constant speed v and collides inelastically with B of mass m What is the velocity of two blocks after the collision

A v B v C

v D 120784

120785v E

v

11 Block A with a mass m moves on a frictionless

horizontal surface at a constant velocity v and collides elastically with an identical block B What is the velocity of block A after the collision

A 0 ms B v C v D

v E

v

13 313

12 Block A with a mass m moves on a frictionless horizontal surface at a constant velocity v and collides elastically with an identical block B What is the velocity of block B after the collision

A 0 ms B v C v D

v E

v

13 A 10 kg object moves at a constant velocity 2 ms to the right and collides with a

4 kg object moving at a velocity 5 ms to the left Which statement is correct A The total momentum before and after the collision is 20 kgms B The total momentum before and after the collision is 40 kgms C The total momentum before and after the collision is 10 kgms D The total momentum before and after the collision is 30 kgms E The total momentum before and after the collision is zero

14 When two objects collide elastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is lost C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

15 When two objects collide inelastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is not conserved C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

16 A light beach ball moving with a velocity 2 ms to the right collides elastically with a stationary bowling ball After the collision the bowling ball remains stationary What is the velocity of the beach ball after the collision

A 0 ms B 2 ms to the left C 4 ms to the left D 3 ms to the left E 1 ms to the left

17 A bowling ball moving with a constant speed v collides elastically with a stationary beach ball After the collision the bowling ball barely slows down What is an approximate speed of the beach ball after the collision

A v B v C

v D 2v E 3v

SKIP

SKIP

13 413

18 A big truck collides inelastically with a small car Which of the following

statements is true A The truck experiences the greater magnitude of impulse during the collision B The car experiences the greater magnitude of impulse during the collision C They experience the same magnitude of impulse during the collision D The impulse of each object is zero during the collision E More information is required

19 A tennis ball approaches a racket with a momentum of 5 kgms and bounces back with a momentum of 6 kgms after the collision with the racket What is the change in momentum of the tennis ball

A 1 kgms B 5 kgms C 6 kgms D 11 kgms E 0 kgms

20 A rubber ball moving with an initial momentum Pi collides elastically with a vertical wall Which of the following is correct about the vector of impulse that the ball experiences during the collision

A B C D

E

21 The force as a function of time is presented by the graph What is the impulse exerted on the object during first six seconds

A 40 Ns B 80 Ns C 120 Ns D 240 Ns E 360 Ns

13 513

22 A 45 kg woman runs at a speed of 56 ms What is her momentum

119901 = 119898119907

119901 = 45 119896119892 56119898119904 = 120784120787120782

119948119944119950119956 119952119955 120784120787120782 119925119956

23 A certain bowling ball rolls at a constant speed of 5 ms If the momentum of the

ball is 425 kgŁms what is its mass

119901 = 119898119907

119898 =119901119907 =

425 1198961198921198981199045 119898119904 = 120790120787 119948119944

24 What is the speed of a 025 kg arrow with a momentum of 8 kgms

119901 = 119898119907

119907 =119901119898 =

8 119896119892119898119904025 119898119904 = 120785120784

119950119956

25 A 001 kg bullet is fired at 250 ms into a wooden block that is fixed The bullet

emerges from the block with a speed of 120 ms What is the change in momentum of the bullet

∆119901 = 119898 119907 minus 119907 = 001 119896119892 120119898119904 minus 250

119898119904 = minus120783120785

119948119944119950119956

26 A 005 kg tennis ball moves at a speed of 10 ms and is struck by a racket causing

it to rebound in the opposite direction at a speed 16 ms What is the change in momentum of the ball What is the impulse exerted on the ball What is the impulse exerted on the racket

∆119901 = 119898 119907 minus 119907 = 005 119896119892 10119898119904 minusminus16

119898119904 = 120783120785

119948119944119950119956

119920119950119953119958119949119956119942 = 119917∆119957 = ∆119953 = 120783120785 119925119956minus 119956119938119950119942 119946119950119953119958119949119956119942 119952119951 119957119945119942 119939119938119949119949 119938119951119941 119957119945119942 119955119938119940119948119942119957 119939119958119957 119952119953119953119952119956119946119957119942 119956119946119944119951119956

27 Two football players with mass 85 kg and 110 kg run directly toward each other with speeds 4 ms and 7 ms respectively If they grab each other as they collide what is the combined speed of the players just after the collision

Object A Object B Inelastic Collision 119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 85119896119892 4119898119904 + (110119896119892)(minus7119898119904 )

(85 119896119892 + 110 119896119892)

119959119943 = minus120784120784119950119956

m 85 kg 110 kg v1 4 ms -7 ms v2

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 313

12 Block A with a mass m moves on a frictionless horizontal surface at a constant velocity v and collides elastically with an identical block B What is the velocity of block B after the collision

A 0 ms B v C v D

v E

v

13 A 10 kg object moves at a constant velocity 2 ms to the right and collides with a

4 kg object moving at a velocity 5 ms to the left Which statement is correct A The total momentum before and after the collision is 20 kgms B The total momentum before and after the collision is 40 kgms C The total momentum before and after the collision is 10 kgms D The total momentum before and after the collision is 30 kgms E The total momentum before and after the collision is zero

14 When two objects collide elastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is lost C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

15 When two objects collide inelastically the momentum is conserved Which of the following is true about the kinetic energy during the collision

A The kinetic energy is conserved B The kinetic energy is not conserved C The kinetic energy is gained D The kinetic energy completely transforms into thermal energy E More information is required

16 A light beach ball moving with a velocity 2 ms to the right collides elastically with a stationary bowling ball After the collision the bowling ball remains stationary What is the velocity of the beach ball after the collision

A 0 ms B 2 ms to the left C 4 ms to the left D 3 ms to the left E 1 ms to the left

17 A bowling ball moving with a constant speed v collides elastically with a stationary beach ball After the collision the bowling ball barely slows down What is an approximate speed of the beach ball after the collision

A v B v C

v D 2v E 3v

SKIP

SKIP

13 413

18 A big truck collides inelastically with a small car Which of the following

statements is true A The truck experiences the greater magnitude of impulse during the collision B The car experiences the greater magnitude of impulse during the collision C They experience the same magnitude of impulse during the collision D The impulse of each object is zero during the collision E More information is required

19 A tennis ball approaches a racket with a momentum of 5 kgms and bounces back with a momentum of 6 kgms after the collision with the racket What is the change in momentum of the tennis ball

A 1 kgms B 5 kgms C 6 kgms D 11 kgms E 0 kgms

20 A rubber ball moving with an initial momentum Pi collides elastically with a vertical wall Which of the following is correct about the vector of impulse that the ball experiences during the collision

A B C D

E

21 The force as a function of time is presented by the graph What is the impulse exerted on the object during first six seconds

A 40 Ns B 80 Ns C 120 Ns D 240 Ns E 360 Ns

13 513

22 A 45 kg woman runs at a speed of 56 ms What is her momentum

119901 = 119898119907

119901 = 45 119896119892 56119898119904 = 120784120787120782

119948119944119950119956 119952119955 120784120787120782 119925119956

23 A certain bowling ball rolls at a constant speed of 5 ms If the momentum of the

ball is 425 kgŁms what is its mass

119901 = 119898119907

119898 =119901119907 =

425 1198961198921198981199045 119898119904 = 120790120787 119948119944

24 What is the speed of a 025 kg arrow with a momentum of 8 kgms

119901 = 119898119907

119907 =119901119898 =

8 119896119892119898119904025 119898119904 = 120785120784

119950119956

25 A 001 kg bullet is fired at 250 ms into a wooden block that is fixed The bullet

emerges from the block with a speed of 120 ms What is the change in momentum of the bullet

∆119901 = 119898 119907 minus 119907 = 001 119896119892 120119898119904 minus 250

119898119904 = minus120783120785

119948119944119950119956

26 A 005 kg tennis ball moves at a speed of 10 ms and is struck by a racket causing

it to rebound in the opposite direction at a speed 16 ms What is the change in momentum of the ball What is the impulse exerted on the ball What is the impulse exerted on the racket

∆119901 = 119898 119907 minus 119907 = 005 119896119892 10119898119904 minusminus16

119898119904 = 120783120785

119948119944119950119956

119920119950119953119958119949119956119942 = 119917∆119957 = ∆119953 = 120783120785 119925119956minus 119956119938119950119942 119946119950119953119958119949119956119942 119952119951 119957119945119942 119939119938119949119949 119938119951119941 119957119945119942 119955119938119940119948119942119957 119939119958119957 119952119953119953119952119956119946119957119942 119956119946119944119951119956

27 Two football players with mass 85 kg and 110 kg run directly toward each other with speeds 4 ms and 7 ms respectively If they grab each other as they collide what is the combined speed of the players just after the collision

Object A Object B Inelastic Collision 119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 85119896119892 4119898119904 + (110119896119892)(minus7119898119904 )

(85 119896119892 + 110 119896119892)

119959119943 = minus120784120784119950119956

m 85 kg 110 kg v1 4 ms -7 ms v2

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 413

18 A big truck collides inelastically with a small car Which of the following

statements is true A The truck experiences the greater magnitude of impulse during the collision B The car experiences the greater magnitude of impulse during the collision C They experience the same magnitude of impulse during the collision D The impulse of each object is zero during the collision E More information is required

19 A tennis ball approaches a racket with a momentum of 5 kgms and bounces back with a momentum of 6 kgms after the collision with the racket What is the change in momentum of the tennis ball

A 1 kgms B 5 kgms C 6 kgms D 11 kgms E 0 kgms

20 A rubber ball moving with an initial momentum Pi collides elastically with a vertical wall Which of the following is correct about the vector of impulse that the ball experiences during the collision

A B C D

E

21 The force as a function of time is presented by the graph What is the impulse exerted on the object during first six seconds

A 40 Ns B 80 Ns C 120 Ns D 240 Ns E 360 Ns

13 513

22 A 45 kg woman runs at a speed of 56 ms What is her momentum

119901 = 119898119907

119901 = 45 119896119892 56119898119904 = 120784120787120782

119948119944119950119956 119952119955 120784120787120782 119925119956

23 A certain bowling ball rolls at a constant speed of 5 ms If the momentum of the

ball is 425 kgŁms what is its mass

119901 = 119898119907

119898 =119901119907 =

425 1198961198921198981199045 119898119904 = 120790120787 119948119944

24 What is the speed of a 025 kg arrow with a momentum of 8 kgms

119901 = 119898119907

119907 =119901119898 =

8 119896119892119898119904025 119898119904 = 120785120784

119950119956

25 A 001 kg bullet is fired at 250 ms into a wooden block that is fixed The bullet

emerges from the block with a speed of 120 ms What is the change in momentum of the bullet

∆119901 = 119898 119907 minus 119907 = 001 119896119892 120119898119904 minus 250

119898119904 = minus120783120785

119948119944119950119956

26 A 005 kg tennis ball moves at a speed of 10 ms and is struck by a racket causing

it to rebound in the opposite direction at a speed 16 ms What is the change in momentum of the ball What is the impulse exerted on the ball What is the impulse exerted on the racket

∆119901 = 119898 119907 minus 119907 = 005 119896119892 10119898119904 minusminus16

119898119904 = 120783120785

119948119944119950119956

119920119950119953119958119949119956119942 = 119917∆119957 = ∆119953 = 120783120785 119925119956minus 119956119938119950119942 119946119950119953119958119949119956119942 119952119951 119957119945119942 119939119938119949119949 119938119951119941 119957119945119942 119955119938119940119948119942119957 119939119958119957 119952119953119953119952119956119946119957119942 119956119946119944119951119956

27 Two football players with mass 85 kg and 110 kg run directly toward each other with speeds 4 ms and 7 ms respectively If they grab each other as they collide what is the combined speed of the players just after the collision

Object A Object B Inelastic Collision 119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 85119896119892 4119898119904 + (110119896119892)(minus7119898119904 )

(85 119896119892 + 110 119896119892)

119959119943 = minus120784120784119950119956

m 85 kg 110 kg v1 4 ms -7 ms v2

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 513

22 A 45 kg woman runs at a speed of 56 ms What is her momentum

119901 = 119898119907

119901 = 45 119896119892 56119898119904 = 120784120787120782

119948119944119950119956 119952119955 120784120787120782 119925119956

23 A certain bowling ball rolls at a constant speed of 5 ms If the momentum of the

ball is 425 kgŁms what is its mass

119901 = 119898119907

119898 =119901119907 =

425 1198961198921198981199045 119898119904 = 120790120787 119948119944

24 What is the speed of a 025 kg arrow with a momentum of 8 kgms

119901 = 119898119907

119907 =119901119898 =

8 119896119892119898119904025 119898119904 = 120785120784

119950119956

25 A 001 kg bullet is fired at 250 ms into a wooden block that is fixed The bullet

emerges from the block with a speed of 120 ms What is the change in momentum of the bullet

∆119901 = 119898 119907 minus 119907 = 001 119896119892 120119898119904 minus 250

119898119904 = minus120783120785

119948119944119950119956

26 A 005 kg tennis ball moves at a speed of 10 ms and is struck by a racket causing

it to rebound in the opposite direction at a speed 16 ms What is the change in momentum of the ball What is the impulse exerted on the ball What is the impulse exerted on the racket

∆119901 = 119898 119907 minus 119907 = 005 119896119892 10119898119904 minusminus16

119898119904 = 120783120785

119948119944119950119956

119920119950119953119958119949119956119942 = 119917∆119957 = ∆119953 = 120783120785 119925119956minus 119956119938119950119942 119946119950119953119958119949119956119942 119952119951 119957119945119942 119939119938119949119949 119938119951119941 119957119945119942 119955119938119940119948119942119957 119939119958119957 119952119953119953119952119956119946119957119942 119956119946119944119951119956

27 Two football players with mass 85 kg and 110 kg run directly toward each other with speeds 4 ms and 7 ms respectively If they grab each other as they collide what is the combined speed of the players just after the collision

Object A Object B Inelastic Collision 119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 85119896119892 4119898119904 + (110119896119892)(minus7119898119904 )

(85 119896119892 + 110 119896119892)

119959119943 = minus120784120784119950119956

m 85 kg 110 kg v1 4 ms -7 ms v2

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 613

28 Two objects m1 and m2 have an elastic collision The initial velocity of m1 is +80

ms and of m2 is -40 ms After the collision the velocity of m1 is +50ms What is the velocity of m2

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907

119907 = 119907 + 119907 minus 119907 = 8119898119904 + 5

119898119904 minus minus4

119898119904 = 120783120789

119950119956

m 119898 119898 v1 8 ms -4 ms v2 5 ms

29 An air track car with a mass of 085 kg and velocity of 34 ms to the right collides perfectly elastically with a 095 kg car moving to the left with a velocity of 49 ms If the collision is elastic what is the speed and direction of each ball after the collision

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (085119896119892)(34119898119904 )+ 2 (095119896119892)(minus49

119898119904 )minus (095119896119892)(34

119898119904 )

085 119896119892 + 095 119896119892

119959120783119943 = minus120787120786

119950119956

119907 = 119907 + 119907 minus 119907

119907 = 34119898119904 + minus54

119898119904 minus minus49

119898119904 = 120784120791

119950119956 = 119959120784119943

m 085 kg 095 kg v1 34 ms -49 ms v2

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 713

30 An ice puck of mass 75 kg moving with a speed of 18 ms to the right collides with a 25 kg piece of ice moving with a speed of 42 ms to the right If the collision is perfectly elastic what is the speed and direction of each mass after the collision

A B

Object A Object B Elastic Collision 119907 + 119907 = 119907 + 119907 119907 = 119907 + 119907 minus 119907

119898119907 + 119898119907 = 119898119907 + 119898119907

119898119907 + 119898119907 = 119898119907 + 119898(119907 + 119907 minus 119907) 119898119907 + 119898119907 = 119898119907 + 119898119907 + 119898119907 minus119898119907

119898119907 + 2119898119907 minus 119898119907 = 119907(119898 + 119898)

119907 = 119898119907 + 2119898119907 minus 119898119907

119898 + 119898

119907

= (755119896119892)(18119898119904 )+ 2 (25119896119892)(42

119898119904 )minus (25119896119892)(18

119898119904 )

755 119896119892 + 25 119896119892

119959120783119943 = 120783120783119950119956

119907 = 119907 + 119907 minus 119907

119907 = 18119898119904 + 11

119898119904 minus 42

119898119904 = 120784120786120790

119950119956 = 119959120784119943

m 755 kg 25 kg v1 18 ms 42 ms v2

31 Two objects A and B with masses of 32 kg and 18 kg move on a frictionless horizontal surface Object A moves to the right at a constant speed of 51 ms while object B moves to the right at a constant speed 14 ms They collide and stick together (a perfectly inelastic collision)

Object A Object B Inelastic Collision m 32 kg 18 kg v1 51 ms 14 ms v2

a Determine the total momentum of the system (both objects) before the collision

119905119900119905119886119897 119901 = 119898119907 + 119898119907 = 32 119896119892 51119898119904 + 18 119896119892 14

119898119904 = 120783120791

119948119944119950119956

b Determine the total kinetic energy of the system before the collision

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy

13 813

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(51

119898119904 )

+12 (18 119896119892)(14

119898119904 )

= 120786120786 119925119950

c Find the speed of the two objects after the collision

119898119907 + 119898119907 = 119907 (119898 + 119898)

119907 = 119898119907 + 119898119907(119898 + 119898)

= 32119896119892 51119898119904 + (18119896119892)(14119898119904 )

(32 119896119892 + 18 119896119892)

119959119943 = 120785120790119950119956

d Find the total kinetic energy of the system after the collision

119879119900119905119886119897 119870119864 =12119898119907 +

12119898119907 =

12 (32119896119892)(38

119898119904 )

+12 (18 119896119892)(38

119898119904 )

= 120785120788 119925119950

e Is the kinetic energy of the system conserved Explain No the KE is not conserved because in an inelastic collision momentum is conserved Some of the KE is converted into another form of energy