A 0.3 kg ball at rest is kicked. The foot pushes it with an average force of 550 N for 4 ms. Find the speed v of the ball just after the kick.
Momentum & collisions worksheet with answers
A 3 kg rifle, free to move, fires an 8 g bullet at 400 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 1.5 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 3.5 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 20 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 7 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.15 kg ball hits a wall at 27 m/s and bounces straight back at 16 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
A 1200 kg car runs into a parked 1200 kg car. The wrecks lock together and skid 12.5 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.
Answer key
- 1. v = 7.333 m/s
- 2. V = 1.067 m/s
- 3. v′1 = −3.2 m/s
- 4. v = 89.07 m/s
- 5. J = 6.45 N·s
- 6. v1 = 24.26 m/s
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