A 900 kg car moving at 5 m/s collides head-on with a 1800 kg car moving at 12 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 a 4 g bullet at 700 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 1200 kg car moving at 7 m/s runs into a stationary 800 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 2.5 kg glider moving at 3 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).
At a crossing a 1400 kg car travelling east at 10 m/s collides with a 1900 kg car travelling north at 24 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
A 15 g bullet is fired horizontally into a 2 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 25° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
Answer key
- 1. v′ = −6.333 m/s
- 2. V = 0.5091 m/s
- 3. ΔK/K = 40 %
- 4. v′1 = 2 m/s
- 5. v′ = 14.45 m/s
- 6. v = 237.5 m/s
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