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Newton’s Laws

Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

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Page 1: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Newton’s Laws

Page 2: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Example ProblemA plane fires a bullet with an initial velocity of

150 m/s at an angle of 370 below the horizontal. The bullet lands 3 seconds later.

Find the components of the initial velocity. How far does the bullet travel in the

horizontal direction before it lands? How high above the (level) ground was the

plane when the bullet was fired? Find the magnitude of the velocity of the

bullet right before it hits the ground.

Page 3: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Pretest #3(“the crate in the snow”)

v

a

Page 4: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Pretest #3(“the crate in the snow”)

Fby gravity

Fby snow

Page 5: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Pretest #3(“the crate in the snow”)

Fby gravity

Fby snow

?

Page 6: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Motion(kinematics)

Forces(dynamics)

Causes

Page 7: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Pushes PullsElectromagnetic

Page 8: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Pushes PullsElectromagnetic

Page 9: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Pushes Pulls

W

Electromagnetic

Page 10: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Pushes Pulls

Electric Magnetic

W

Electromagnetic

Page 11: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Pushes Pulls

Electric Magnetic

W

M

Electromagnetic

Page 12: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic

W

M

Electromagnetic

Page 13: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic

Tension

W

M

Electromagnetic

Page 14: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic

Tension

W

M

T

Electromagnetic

Page 15: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Normal

Tension

W

M

T

Electromagnetic

Page 16: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Normal

Tension

W

M

T

N

Electromagnetic

Page 17: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Normal

Tension

W

M

T

Nperpendicular to

surface

Electromagnetic

Page 18: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Friction Normal

Tension

W

M

T

Nperpendicular to

surface

Electromagnetic

Page 19: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Friction Normal

Tension

W

M

T

N fperpendicular to

surface

Electromagnetic

Page 20: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Aristotle384 - 322 B.C.

Page 21: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

What is the velocity of this room?

RE = 6 x 106 m

v = 2 RE

t

= 400 m/s

Page 22: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Galileo Galilei (1564-1642)

Page 23: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Ball on Ramp

Page 24: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Ball on Ramp

Page 25: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Ball on Ramp

Page 26: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Ball on Ramp

Page 27: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Ball on Ramp

a=0

An object at rest stays at rest and an object in motion stays in motion at constant speed in a straight line, unless acted upon by a net force.

Page 28: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Sir IsaacNewton

(1642-1727)

Page 29: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Newton’s 1st Law: No net force - no acceleration

No acceleration = constant velocity

An object at rest stays at rest and an object in motion stays in motion at constant speed in a straight line, unless acted upon by a net force.

Page 30: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Newton’s 2nd Law: Deals with the effect of forces on

an object.

Page 31: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Motion of the Block

at rest

uniform motion to the right

moves to the right and speeds up without changing direction

moves to the right, slows down and stops without changing direction

Velocity Acceleration Push or Pull Necessary to Maintain Motion

Dry Ice on Slate

0 0 0

0 0

Page 32: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Motion of the Block

at rest

uniform motion to the right

moves to the right and speeds up without changing direction

moves to the right, slows down and stops without changing direction

Velocity Acceleration Push or Pull Necessary to Maintain Motion

Dry Ice on Slate

0 0 0

0 0

Page 33: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Newton’s 2nd Law: Net force causes acceleration (not velocity) The net force is the vector sum of all the individual

forces on an object.

WE,b

Nr,b

Nr,b

Fnet

WE,b

a

Acceleration is in same direction as the net force.

a

Page 34: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Types of Forces

Noncontact Forces Contact Forces

Gravitational Nuclear Pushes Pulls

Electric Magnetic Friction Normal

Tension

W

M

T

N f

Electromagnetic

Which one is the net force?

Page 35: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Pretest #3(“the crate in the snow”)

Fby gravity

Fby snow

?

Page 36: Newton’s Laws. Example Problem A plane fires a bullet with an initial velocity of 150 m/s at an angle of 37 0 below the horizontal. The bullet lands 3

Pretest #3(“the crate in the snow”)

Fby gravity

Fby snow