A 0.5 kg trolley moving at 8.5 m/s runs into a 0.5 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.
Momentum & collisions worksheet with answers
A 0.4 kg ball at rest is kicked. The foot pushes it with an average force of 800 N for 12 ms. Find the speed v of the ball just after the kick.
A 10 kg projectile moving horizontally at 15 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 70 m/s. Find the velocity v′2 of the 7 kg fragment (positive in the original direction).
A 3.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 2 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).
At a crossing a 1900 kg car travelling east at 8 m/s collides with a 1700 kg car travelling north at 12 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
A 1900 kg car runs into a parked 1600 kg car. The wrecks lock together and skid 24.5 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′2 = 8 m/s
- 2. v = 24 m/s
- 3. v′2 = −8.571 m/s
- 4. v′1 = 3.273 m/s
- 5. v′ = 7.067 m/s
- 6. v1 = 34.98 m/s
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