A 2000 kg car moving at 19 m/s collides head-on with a 1900 kg car moving at 4 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 5.5 kg rifle, free to move, fires an 8 g bullet at 700 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 3.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 0.5 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 1000 kg car moving at 13 m/s runs into a stationary 900 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 0.4 kg ball hits a wall at 24 m/s and bounces straight back at 14 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
A 0.35 kg ball hits a wall at 22 m/s and bounces straight back at 19 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 7.795 m/s
- 2. V = 1.018 m/s
- 3. v′1 = 8.25 m/s
- 4. ΔK/K = 47.37 %
- 5. Favg = 608 N
- 6. J = 14.35 N·s
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