A 3.5 kg trolley moving at 4.5 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 2.5 m/s. Find the velocity v′2 of the second trolley.
Momentum & collisions worksheet with answers
A 600 kg car moving at 9 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 10 kg projectile moving horizontally at 39 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 54 m/s. Find the velocity v′2 of the 6 kg fragment (positive in the original direction).
A 2.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 0.1 kg ball hits a wall at 28 m/s and bounces straight back at 11 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
At a crossing a 900 kg car travelling east at 21 m/s collides with a 1000 kg car travelling north at 17 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′2 = 3.5 m/s
- 2. v′ = 2.842 m/s
- 3. v′2 = 29 m/s
- 4. v′2 = 8 m/s
- 5. Favg = 780 N
- 6. θ = 41.97 °
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