A 1900 kg car moving at 6 m/s collides head-on with a 900 kg car moving at 11 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).
Momentum & collisions worksheet with answers
A 600 kg car moving at 21 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 15 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 3 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 4.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2.5 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 0.6 kg ball hits a wall at 18 m/s and bounces straight back at 18 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.
A 0.3 kg ball hits a wall at 27 m/s and bounces straight back at 16 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
Answer key
- 1. v′ = 0.5357 m/s
- 2. v′ = 11.45 m/s
- 3. v = 77.49 m/s
- 4. v′1 = 1.714 m/s
- 5. Favg = 1080 N
- 6. Favg = 258 N
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