A 4.5 kg trolley moving at 5.5 m/s runs into a 3 kg trolley at rest. After the collision the first trolley continues in the same direction at 3 m/s. Find the velocity v′2 of the second trolley.
Momentum & collisions worksheet with answers
A 2000 kg car moving at 5 m/s runs into a stationary 600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
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′2 of the second glider after the collision.
A 1500 kg car moving at 23 m/s runs into a stationary 1900 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 0.5 kg ball hits a wall at 16 m/s and bounces straight back at 5 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
A 5 g bullet is fired horizontally into a 2.5 kg block hanging from light strings 0.9 m long, and stays in it. The strings swing out to a largest angle of 30° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
Answer key
- 1. v′2 = 3.75 m/s
- 2. v′ = 3.846 m/s
- 3. v′2 = 11.45 m/s
- 4. ΔK/K = 55.88 %
- 5. J = 10.5 N·s
- 6. v = 770.6 m/s
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