Momentum and Collisions

A 20.0 kg ball with velocity of 20.0 m/s East strikes a 2.00 kg ball that is initially at rest. After collision, the velocity of the 20.0 kg ball has decreased to 15 m/s. Find the final velocity of the 2.00 kg ball.
2. An 8.00 kg ball traveling at 4.00 m/s strikes another ball M_{2}. After collision, M_{1} is traveling in the same direction but at only 3.00 m/s, and M_{2} is traveling at 4.00 m/s. Find the mass of M_{2}.

A 4.00 kg ball with a velocity of 4.00 m/s East, overtakes a 2.00 kg ball traveling at 2.00 m/s East. If the final velocity of the 4.00 kg ball is 3.00 m/s, find the final velocity of the 2.00 kg ball.

A 10.00 kg ball traveling at +6.00 m/s overtakes a 5.00 kg ball traveling at +4.00 m/s. If the 10.0 kg ball slows down to +3.00 m/s after the collision, find the final velocity of the 5.00 kg ball.

A 20.0 kg ball with V = 5.00 m/s East strikes a 2.00 kg ball with velocity 10.0 m/s West. If the final speed of the 20.0 kg ball is 3.00 m/s East, what is the final velocity of the other ball?

A 6.00 kg ball traveling East at 2.00 m/s strikes ball B of mass 2.00 kg at rest. If they stick together after collision, what is their final velocity?
7. When the 80.0 kg football player, who is standing on a frictionless surface, catches a 4 kg football moving at 30 m/s, what will be his final velocity?

A 3.00 kg mass moving at 2.00 m/s North strikes a 1.00 kg mass at rest. After the collision, the 3.00 kg mass moves at 1.00 m/s at 60 West of North. Find the velocity and direction of the 1.00 kg mass. Assume the collision is perfectly elastic.

Ball A, of mass 4.00 kg and heading North at 2.00 m/s, strikes a 2.00 kg Ball B which is at rest. After collision, Ball A is traveling at 1.50 m/s at 55 North of East. Find the speed and direction of Ball B.

Two masses, A and B, which are both moving, collide with one another:
Before collision: A: 3.00 kg at 2.00 m/s North West
B: 4.00 kg at 3.00 m/s North East
After collision: B: 4.00 kg at 2.00 m/s North
Find the speed and direction of mass A.

Two masses, A and B, which are both moving, collide with one another:
Before collision: A: 2.00 kg at 2.50 m/s North
B: 3.00 kg at 2.00 m/s 20 West of North
After collision: A: 2.00 kg at 2.00 m/s North West
Find the speed and direction of Ball B.
Answers for Momentum and Collisions

Vr^{1} = 50 m/s

m_{2} = 2 kg

V_{2}^{1} = 4 m/s

V_{2}^{1} = 10 m/s

V_{2}^{1} = 10 m/s

V^{1} = 1.5 m/s

V^{1} = 1.43

V^{1} = 5.2 m/s at 30 E of N

V^{1} = 2.65 m/s at N 35 W

V_{A}^{1} = 2.13 m/s E 48 N

V = 2.6 m/s at 5 E of N
See http://cabennet.mvsd.ca/PHYS40S/Momentum/momentum and collisions solns.pdf for solutions 