An 800 kg car moving at 13 m/s collides head-on with a 1500 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).
Momentum & collisions worksheet with answers
A 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 650 N for 10 ms. Find the speed v of the ball just after the kick.
A 0.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 2.5 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 1.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 0.5 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 0.2 kg ball hits a wall at 21 m/s and bounces straight back at 16 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
A 1600 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 22.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
Answer key
- 1. v′ = 1.913 m/s
- 2. v = 18.57 m/s
- 3. v′1 = −7.333 m/s
- 4. v′1 = 1 m/s
- 5. J = 7.4 N·s
- 6. v1 = 39.8 m/s
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