A 1500 kg car moving at 18 m/s collides head-on with a 1100 kg car moving at 2 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 2000 kg car moving at 20 m/s runs into a stationary 1700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
An 8 kg projectile moving horizontally at 5 m/s explodes into two fragments that move along the same line. The 7 kg fragment continues forwards at 47 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
A 1.5 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 1600 kg car runs into a parked 1400 kg car. The wrecks lock together and skid 15 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.
A 0.45 kg ball hits a wall at 21 m/s and bounces straight back at 13 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.
Answer key
- 1. v′ = 9.538 m/s
- 2. v′ = 10.81 m/s
- 3. v′2 = −289 m/s
- 4. v′2 = 8.571 m/s
- 5. v1 = 22.74 m/s
- 6. Favg = 1530 N
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