A 2000 kg car moving at 13 m/s collides head-on with a 500 kg car moving at 6 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 500 kg car moving at 17 m/s collides head-on with a 1600 kg car moving at 11 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 2.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 4 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 600 kg car moving at 5 m/s runs into a stationary 1800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
A 12 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 0.8 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.
A 0.15 kg ball hits a wall at 23 m/s and bounces straight back at 17 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 9.2 m/s
- 2. v′ = −4.333 m/s
- 3. v′2 = 6.923 m/s
- 4. ΔK = 5625 J
- 5. v = 92.15 m/s
- 6. J = 6 N·s
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