A 1700 kg car moving at 22 m/s collides head-on with a 2000 kg car moving at 6 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 1200 kg car moving at 15 m/s collides head-on with a 1900 kg car moving at 13 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).
A 3 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 3.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 0.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 3.5 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 0.15 kg ball hits a wall at 9 m/s and bounces straight back at 19 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
A 20 g bullet is fired horizontally into a 1 kg block hanging from light strings 1.2 m long, and stays in it. The strings swing out to a largest angle of 10° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
Answer key
- 1. v′ = 6.865 m/s
- 2. v′ = −2.161 m/s
- 3. v′2 = 10.15 m/s
- 4. v′1 = −8.25 m/s
- 5. J = 4.2 N·s
- 6. v = 30.5 m/s
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