A 1400 kg car moving at 21 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).
Momentum & collisions worksheet with answers
A 1700 kg car moving at 23 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 20 kg projectile moving horizontally at 13 m/s explodes into two fragments that move along the same line. The 16 kg fragment continues forwards at 48 m/s. Find the velocity v′2 of the 4 kg fragment (positive in the original direction).
A 4.5 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 0.35 kg ball hits a wall at 16 m/s and bounces straight back at 9 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.
A 0.45 kg ball hits a wall at 20 m/s and bounces straight back at 14 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
Answer key
- 1. v′ = 3.933 m/s
- 2. v′ = 13.03 m/s
- 3. v′2 = −127 m/s
- 4. v′2 = 6.632 m/s
- 5. Favg = 175 N
- 6. Favg = 382.5 N
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