A 1800 kg car moving at 24 m/s collides head-on with a 1500 kg car moving at 15 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 1700 kg car moving at 11 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).
An 800 kg car moving at 21 m/s runs into a stationary 1700 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 0.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 1 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 5 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 2 m long, and stays in it. The strings swing out to a largest angle of 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
At a crossing a 1900 kg car travelling east at 22 m/s collides with a 1800 kg car travelling north at 23 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
Answer key
- 1. v′ = 6.273 m/s
- 2. v′ = 8.13 m/s
- 3. ΔK/K = 68 %
- 4. v′1 = −0.6667 m/s
- 5. v = 912 m/s
- 6. θ = 44.72 °
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