A 600 kg car moving at 5 m/s collides head-on with a 1400 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).
Momentum & collisions worksheet with answers
A 500 kg car moving at 18 m/s runs into a stationary 1600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 9 kg projectile moving horizontally at 33 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 61 m/s. Find the velocity v′2 of the 5 kg fragment (positive in the original direction).
A 3.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′1 of the first glider after the collision (positive in its original direction).
A 0.25 kg ball hits a wall at 14 m/s and bounces straight back at 15 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
A 0.55 kg ball hits a wall at 28 m/s and bounces straight back at 4 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = −4.8 m/s
- 2. v′ = 4.286 m/s
- 3. v′2 = 10.6 m/s
- 4. v′1 = −0.75 m/s
- 5. J = 7.25 N·s
- 6. J = 17.6 N·s
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