A 2000 kg car moving at 6 m/s collides head-on with a 2000 kg car moving at 5 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 1500 kg car moving at 22 m/s runs into a stationary 500 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 5 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 1900 kg car moving at 20 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 0.2 kg ball hits a wall at 14 m/s and bounces straight back at 15 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.
At a crossing an 800 kg car travelling east at 25 m/s collides with a 1200 kg car travelling north at 22 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
Answer key
- 1. v′ = 0.5 m/s
- 2. v′ = 16.5 m/s
- 3. v = 620 m/s
- 4. ΔK = 173714 J
- 5. Favg = 290 N
- 6. θ = 52.85 °
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