A 1 kg trolley moving at 9 m/s runs into a 3 kg trolley at rest. After the collision the first trolley continues in the same direction at 1.5 m/s. Find the velocity v′2 of the second trolley.
Momentum & collisions worksheet with answers
A 1500 kg car moving at 14 m/s runs into a stationary 1100 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 10 g bullet is fired horizontally into a 1 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 4 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 1.5 kg glider moving at 3 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).
A 0.3 kg ball hits a wall at 20 m/s and bounces straight back at 14 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
A 0.6 kg ball hits a wall at 18 m/s and bounces straight back at 4 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′2 = 2.5 m/s
- 2. v′ = 8.077 m/s
- 3. v = 89.47 m/s
- 4. v′1 = 0.6 m/s
- 5. Favg = 204 N
- 6. J = 13.2 N·s
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