A 500 kg car moving at 25 m/s collides head-on with a 1600 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 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 600 N for 12 ms. Find the speed v of the ball just after the kick.
A 4 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 5 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 14 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
At a crossing a 1300 kg car travelling east at 15 m/s collides with a 1600 kg car travelling north at 18 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
At a crossing a 900 kg car travelling east at 10 m/s collides with a 1100 kg car travelling north at 17 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
Answer key
- 1. v′ = −2.429 m/s
- 2. v = 20.57 m/s
- 3. v′2 = 7.111 m/s
- 4. v = 333.1 m/s
- 5. v′ = 11.99 m/s
- 6. v′ = 10.38 m/s
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