1.Easy
A 1900 kg car moving at 21 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).
m1 = 1900 kgv1 = 21 m/sm2 = 1600 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 2 kg trolley moving at 8.5 m/s runs into a 0.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 6 m/s. Find the velocity v′2 of the second trolley.
m1 = 2 kgv1 = 8.5 m/sm2 = 0.5 kgv′1 = 6 m/s
v′2 = m/s
3.Medium
A 1.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 0.5 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).
m1 = 1.5 kgm2 = 0.5 kgv1 = 6 m/sv2 = 0
v′1 = m/s
4.Medium
A 4 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 1 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).
m1 = 4 kgm2 = 1 kgv1 = 12 m/sv2 = 0
v′1 = m/s
5.Hard
A 0.6 kg ball hits a wall at 8 m/s and bounces straight back at 13 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
m = 0.6 kgvin = 8 m/svout = 13 m/sΔt = 25 ms
Favg = N
6.Hard
At a crossing a 1700 kg car travelling east at 11 m/s collides with a 1300 kg car travelling north at 14 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 1700 kgv1 = 11 m/s (E)m2 = 1300 kgv2 = 14 m/s (N)
v′ = m/s
Answer key
- 1. v′ = 11.4 m/s
- 2. v′2 = 10 m/s
- 3. v′1 = 3 m/s
- 4. v′1 = 7.2 m/s
- 5. Favg = 504 N
- 6. v′ = 8.698 m/s
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