1.Easy
A 2 kg trolley moving at 4 m/s runs into a 4 kg trolley at rest. After the collision the first trolley is at rest. Find the velocity v′2 of the second trolley.
m1 = 2 kgv1 = 4 m/sm2 = 4 kgv′1 = 0 m/s
v′2 = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1200 kg car moving at 18 m/s collides head-on with a 1400 kg car moving at 3 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1200 kgv1 = 18 m/sm2 = 1400 kgv2 = −3 m/s
v′ = m/s
3.Medium
A 3.5 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 3.5 kgm2 = 4.5 kgv1 = 10 m/sv2 = 0
v′2 = m/s
4.Medium
A 1.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′1 of the first glider after the collision (positive in its original direction).
m1 = 1.5 kgm2 = 1 kgv1 = 2 m/sv2 = 0
v′1 = m/s
5.Hard
A 0.45 kg ball hits a wall at 18 m/s and bounces straight back at 13 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
m = 0.45 kgvin = 18 m/svout = 13 m/sΔt = 40 ms
Favg = N
6.Hard
A 0.1 kg ball hits a wall at 13 m/s and bounces straight back at 5 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.
m = 0.1 kgvin = 13 m/svout = 5 m/sΔt = 10 ms
Favg = N
Answer key
- 1. v′2 = 2 m/s
- 2. v′ = 6.692 m/s
- 3. v′2 = 8.75 m/s
- 4. v′1 = 0.4 m/s
- 5. Favg = 348.8 N
- 6. Favg = 180 N
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