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Projectile Motion

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10/6/2008<br />

MOMENTUM<br />

MOMENTUM<br />

Momentum refers to the quantity<br />

of motion that an object has.<br />

Momentum = mass x velocity<br />

All objects have mass; so if an<br />

object is moving, then it has<br />

momentum –<br />

it has its mass in motion.<br />

The amount of momentum which<br />

an object has is dependent upon<br />

two variables: how much (mass) stuff<br />

is moving and how fast (velocity) the<br />

stuff is moving.<br />

p = mv<br />

• Momentum is a vector quantity.<br />

• As a vector quantity, the momentum<br />

of an object is fully described by<br />

both magnitude and direction.<br />

MOMENTUM<br />

CHECK YOUR UNDERSTANDING<br />

<br />

From the definition of momentum,<br />

it becomes obvious that an object<br />

has a large momentum if either its<br />

mass or its velocity is large.<br />

Consider a truck and a scooter<br />

moving down the street at the<br />

same speed. The considerably<br />

greater mass of the truck gives it a<br />

considerably greater momentum.<br />

Yet if the truck were at rest, then<br />

the momentum of the scooter<br />

would be the greatest.<br />

1. Determine the momentum of a ...<br />

a) 60-kg halfback moving east at 9 m/s.<br />

b) 1000-kg car moving north at 20 m/s.<br />

c) 40-kg student moving south at 2 m/s.<br />

2. A car possesses 20 000 units of<br />

momentum. What would be the car's<br />

new momentum if ...<br />

a) its velocity were doubled.<br />

b) its mass were doubled (by adding<br />

more passengers and a greater load)<br />

MOMENTUM<br />

Law of Conservation of Momentum -<br />

momentum will be transferred from object to<br />

another.<br />

MOMENTUM ANIMATION<br />

Before the collision, the momentum of the cart ______<br />

and the momentum of the brick is ______; the total<br />

system momentum is _______. After the collision, the<br />

momentum of the cart is _______ and the momentum of<br />

the dropped brick is _______; the total system<br />

momentum is _______.<br />

The momentum of the system is conserved.<br />

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10/6/2008<br />

IMPULSE<br />

REAL WORLD APPLICATION<br />

Impulse = Change in momentum<br />

In a collision, objects experience an impulse; the<br />

impulse causes (and is equal to) the change in<br />

momentum.<br />

Consider a collision of a tennis ball with a wall.<br />

CHECK YOUR UNDERSTANDING<br />

Complete Practice Problems<br />

http://www.glenbrook.k12.il.us/gbssci/Phys/Class/momentum/u4l1a.html<br />

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