Momentum & collisions worksheet with answers

A 1 kg trolley moving at 7.5 m/s runs into a 2 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 700 kg car moving at 5 m/s runs into a stationary 1400 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

A 5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 1.5 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).

A 2.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 4 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 0.15 kg ball hits a wall at 15 m/s and bounces straight back at 6 m/s. The contact lasts 10 ms. Find the average force F_avg of the wall on the ball.

An 800 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 16 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v₁ of the first car just before the collision.