A 600 kg car moving at 18 m/s collides head-on with a 900 kg car moving at 8 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 4.5 kg rifle, free to move, fires a 15 g bullet at 250 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 1900 kg car moving at 11 m/s runs into a stationary 1600 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 20 g bullet is fired horizontally into a 3.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 19 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.45 kg ball hits a wall at 23 m/s and bounces straight back at 11 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.
A 0.1 kg ball hits a wall at 23 m/s and bounces straight back at 6 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 2.4 m/s
- 2. V = 0.8333 m/s
- 3. ΔK/K = 45.71 %
- 4. v = 339.8 m/s
- 5. J = 15.3 N·s
- 6. J = 2.9 N·s
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