A 1900 kg car moving at 10 m/s collides head-on with a 1100 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 2000 kg car moving at 17 m/s collides head-on with a 1700 kg car moving at 9 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).
A 500 kg car moving at 21 m/s runs into a stationary 1900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
A 5 g bullet is fired horizontally into a 2 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 20 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 10 g bullet is fired horizontally into a 5 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 20° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.2 kg ball hits a wall at 19 m/s and bounces straight back at 4 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 1.567 m/s
- 2. v′ = 5.054 m/s
- 3. ΔK = 87281 J
- 4. v = 794.3 m/s
- 5. v = 710.6 m/s
- 6. J = 4.6 N·s
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