A 1700 kg car moving at 17 m/s collides head-on with a 500 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 1600 kg car moving at 12 m/s collides head-on with a 1000 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).
A 1 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2 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 1 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
At a crossing a 1300 kg car travelling east at 18 m/s collides with an 800 kg car travelling north at 12 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
A 0.25 kg ball hits a wall at 28 m/s and bounces straight back at 11 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 11.32 m/s
- 2. v′ = 5.846 m/s
- 3. v′1 = −2 m/s
- 4. v′2 = 2.909 m/s
- 5. θ = 22.31 °
- 6. J = 9.75 N·s
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