A 3.5 kg trolley moving at 9 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 4.5 m/s. Find the velocity v′2 of the second trolley.
Momentum & collisions worksheet with answers
A 1600 kg car moving at 19 m/s runs into a stationary 1000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
An 8 g bullet is fired horizontally into a 5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 17 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 500 kg car moving at 13 m/s runs into a stationary 1600 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
A 0.6 kg ball hits a wall at 13 m/s and bounces straight back at 11 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.
An 8 g bullet is fired horizontally into a 2 kg block hanging from light strings 0.7 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
Answer key
- 1. v′2 = 7.875 m/s
- 2. v′ = 11.69 m/s
- 3. v = 1143 m/s
- 4. ΔK = 32190 J
- 5. Favg = 1440 N
- 6. v = 171.7 m/s
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