A 1400 kg car moving at 22 m/s collides head-on with a 1600 kg car moving at 14 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 1900 kg car moving at 12 m/s runs into a stationary 600 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 3 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′2 of the second glider after the collision.
A 1.5 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 3 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
An 800 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 12 m before stopping. The coefficient of kinetic friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
A 0.3 kg ball hits a wall at 22 m/s and bounces straight back at 19 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 2.8 m/s
- 2. v′ = 9.12 m/s
- 3. v′2 = 4 m/s
- 4. v′2 = 5.333 m/s
- 5. v1 = 43.33 m/s
- 6. J = 12.3 N·s
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