1.Easy
A 1200 kg car moving at 8 m/s runs into a stationary 800 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1200 kgv1 = 8 m/sm2 = 800 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 2.5 kg trolley moving at 4.5 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 2 m/s. Find the velocity v′2 of the second trolley.
m1 = 2.5 kgv1 = 4.5 m/sm2 = 2 kgv′1 = 2 m/s
v′2 = m/s
3.Medium
A 2 kg glider moving at 5 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.
m1 = 2 kgm2 = 5 kgv1 = 5 m/sv2 = 0
v′2 = m/s
4.Medium
A 1700 kg car moving at 12 m/s runs into a stationary 1500 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
m1 = 1700 kgv1 = 12 m/sm2 = 1500 kgv2 = 0
ΔK = J
5.Hard
At a crossing a 1500 kg car travelling east at 13 m/s collides with a 1200 kg car travelling north at 16 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 1500 kgv1 = 13 m/s (E)m2 = 1200 kgv2 = 16 m/s (N)
v′ = m/s
6.Hard
A 0.45 kg ball hits a wall at 14 m/s and bounces straight back at 20 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
m = 0.45 kgvin = 14 m/svout = 20 m/sΔt = 5 ms
Favg = N
Answer key
- 1. v′ = 4.8 m/s
- 2. v′2 = 3.125 m/s
- 3. v′2 = 2.857 m/s
- 4. ΔK = 57375 J
- 5. v′ = 10.14 m/s
- 6. Favg = 3060 N
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