A 1200 kg car moving at 15 m/s collides head-on with a 1800 kg car moving at 13 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 25 m/s runs into a stationary 900 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 15 g bullet is fired horizontally into a 3.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 22 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 16 kg projectile moving horizontally at 40 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 47 m/s. Find the velocity v′2 of the 10 kg fragment (positive in the original direction).
A 0.35 kg ball hits a wall at 23 m/s and bounces straight back at 9 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
A 0.55 kg ball hits a wall at 26 m/s and bounces straight back at 6 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
Answer key
- 1. v′ = −1.8 m/s
- 2. v′ = 16.96 m/s
- 3. v = 486.8 m/s
- 4. v′2 = 35.8 m/s
- 5. Favg = 448 N
- 6. Favg = 3520 N
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