A 1600 kg car moving at 22 m/s collides head-on with a 2000 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).
Momentum & collisions worksheet with answers
A 3.5 kg rifle, free to move, fires a 4 g bullet at 750 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 3.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 2 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 1200 kg car moving at 5 m/s runs into a stationary 1400 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 0.55 kg ball hits a wall at 10 m/s and bounces straight back at 11 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
At a crossing a 1200 kg car travelling east at 13 m/s collides with a 1300 kg car travelling north at 20 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
Answer key
- 1. v′ = 8.111 m/s
- 2. V = 0.8571 m/s
- 3. v′1 = 2.455 m/s
- 4. ΔK/K = 53.85 %
- 5. Favg = 2310 N
- 6. v′ = 12.13 m/s
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