7/24/2019 Mech. & Dynamics Tut. 2

1/4

7/24/2019 Mech. & Dynamics Tut. 2

2/4

(b)the distance from the cli3 to the

ball hitting the ground(c) the magnitude and direction of the

ball ust before it hits the ground.

9. ,wo men are pulling a boat using

ropes as shown in the gure below.

Ase the component method to

determine the sum of the two forces

acting on the boat.

10. ,he diagrams below shows two

forces F1and F2acting on a !7 kg

obect on a frictionless tabletop. 2f F1

= 10.2N andF2= 16N+ nd the netforce on the obect and its

acceleration for each situation (a) and

(b).

(a)

(b)

11. # bo% on a small hill aims his

water-balloon slingshot hori>ontall%+

straight at a second bo% hanging from

a tree branch a distance d awa% (as

shown below). #t the instant thewater balloon is released+ the second

bo% lets go and falls from the tree.

B5plain wh% he made the wrong

decision (he hadnt studied Ch%sics).

1!. # proectile is red at 60; with an

initial $elocit% of ! ms& 1. #fter .

seconds it reaches a point C in its

traector%. Determine@

(a)the height of C abo$e the

hori>ontal(b)the $elocit% of the proectile at C(c) the ma5imum height achie$ed b%

the proectile.

1. # proectile is red from the edge

of a cli3 1!m abo$e ground le$el

with an initial speed of 10 ms& 1+ at

7/24/2019 Mech. & Dynamics Tut. 2

3/4

an angle of 7; to the hori>ontal+ as

shown below.

Determine@(a)the time taken for the proectile to

hit the point C(b)the distance from the base of

the cli3(c) the $elocit% and angle of the

$elocit% ust before it hits C.

1. # car of mass 1 tonne accelerates

at ! ms& !up a slope inclined at ; to

the hori>ontal. ind the force

produced b% the engine if a constant

resisti$e force of 100E acts on the

car.

1. ,he block shown in the gure

below lies on a smooth plane tilted at

an angle of !!;to the hori>ontal.(a)Determine the acceleration of the

block as it slides down the plane.(b)2f the block starts from rest 9.1m

up the plane+ what will be the

blocks speed when it reaches the

bottom of the plane

(2gnore friction)

16. (a) # small smooth obect slides

from rest down a smooth incline

plane at 0; to the hori>ontal.

Falculate@(i) the acceleration down the

plane(ii) the time taken to reach the

bottom of the plane if it was

m long.

(b) ,he obect is now thrown up the

plane with an initial $elocit% of 1 ms& 1.

(i) 'ow long does the obect

take to come to rest

(ii) 'ow far up the plane has the

obect now tra$elled

17. (a) Dene the terms GHomentum

and G2mpulse.

(b) Di3erentiate between an

GBlastic Follision and an G2nelastic

Follision.

7/24/2019 Mech. & Dynamics Tut. 2

4/4

(c)