1.Easy
A 900 kg car moving at 14 m/s runs into a stationary 1900 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 900 kgv1 = 14 m/sm2 = 1900 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 500 kg car moving at 7 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 500 kgv1 = 7 m/sm2 = 500 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 0.5 kg glider moving at 4 m/s makes a perfectly elastic head-on collision with a 1.5 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 = 0.5 kgm2 = 1.5 kgv1 = 4 m/sv2 = 0
v′1 = m/s
4.Medium
A 4 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 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 = 4 kgm2 = 5 kgv1 = 9 m/sv2 = 0
v′1 = m/s
5.Hard
A 0.25 kg ball hits a wall at 22 m/s and bounces straight back at 8 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.25 kgvin = 22 m/svout = 8 m/sΔt = 25 ms
J = N·s
6.Hard
A 0.1 kg ball hits a wall at 14 m/s and bounces straight back at 6 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
m = 0.1 kgvin = 14 m/svout = 6 m/sΔt = 25 ms
Favg = N
Answer key
- 1. v′ = 4.5 m/s
- 2. v′ = 3.5 m/s
- 3. v′1 = −2 m/s
- 4. v′1 = −1 m/s
- 5. J = 7.5 N·s
- 6. Favg = 80 N
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