# Momentum Calculations ```Momentum Calculations
1. What is the value of the momentum of a 10 kg ball running down a
bowling alley at a speed of 5 m/s?
2. Think of a ball bouncing off a wall. It leaves the wall at the same speed
as before. Let’s call going from right to left negative, and going from
left to right positive.
a. Can you show that the change in momentum is +2mv?
b. The ball has a mass of 200 g, and the value of its velocity throughout
remains 6 m/s. What is the change in momentum?
3. The diagram shows two cars at a fairground, before and after bumping into
each other. One car and driver has a total mass of 500 kg, while the other car
and driver has a total mass of 400 kg.
V
What is the velocity of the yellow car after impact?
4. A second collision is shown below:
What is the speed of the 500 kg car after the collision?
5. A bullet of mass 45 g is traveling horizontally at 400 m/s when it strikes a
wooden block of mass 16 kg suspended on a string so that it can swing freely.
The bullet is embedded in the block.
Calculate the velocity at which the block begins to swing.
6. A bullet of mass 0.05 kg is fired from a gun of mass 5 kg. If the bullet
leaves the gun at a velocity of 300 m/s from left to right, the recoil velocity
of the gun is?
7.
A cannon of mass 1000 kg launches a cannonball of mass 10 kg at a
velocity of 100 m/s. At what speed does the cannon recoil?
8.
A pool player hits the eight ball, which is initially at rest, head-on
with the cue ball. Both of these balls have the same mass, and the
velocity of the cue ball is initially . What are the velocities of the
two balls after the collision? Assume the collision is perfectly
elastic.
9.
Two gumballs, of mass m and mass 2m respectively, collide headon. Before impact, the gumball of mass m is moving with a velocity
, and the gumball of mass 2m is stationary. What is the final
velocity, , of the gumball wad?
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