An 800 kg car moving at 21 m/s collides head-on with a 2000 kg car moving at 7 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 4.5 kg trolley moving at 2 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 3 kg glider moving at 3 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.
An 800 kg car moving at 5 m/s runs into a stationary 500 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
A 1800 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 20 m before stopping. The coefficient of kinetic friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
A 0.6 kg ball hits a wall at 8 m/s and bounces straight back at 10 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
Answer key
- 1. v′ = 1 m/s
- 2. v′2 = 1.929 m/s
- 3. v′2 = 2.4 m/s
- 4. ΔK = 3846 J
- 5. v1 = 31.54 m/s
- 6. Favg = 216 N
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