1.Easy
A 4 kg rifle, free to move, fires a 12 g bullet at 600 m/s. Both start at rest. Find the recoil speed V of the rifle.
M = 4 kgm = 12 gv = 600 m/s
V = m/s
Momentum & collisions worksheet with answers
2.Easy
A 3 kg trolley moving at 5 m/s runs into a 3 kg trolley at rest. After the collision the first trolley continues in the same direction at 1.5 m/s. Find the velocity v′2 of the second trolley.
m1 = 3 kgv1 = 5 m/sm2 = 3 kgv′1 = 1.5 m/s
v′2 = m/s
3.Medium
A 2 kg glider moving at 8 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 = 2 kgm2 = 5 kgv1 = 8 m/sv2 = 0
v′1 = m/s
4.Medium
A 2.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 2.5 kgm2 = 2 kgv1 = 6 m/sv2 = 0
v′2 = m/s
5.Hard
At a crossing a 900 kg car travelling east at 17 m/s collides with a 1100 kg car travelling north at 15 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 900 kgv1 = 17 m/s (E)m2 = 1100 kgv2 = 15 m/s (N)
v′ = m/s
6.Hard
At a crossing a 1100 kg car travelling east at 24 m/s collides with a 900 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 1100 kgv1 = 24 m/s (E)m2 = 900 kgv2 = 19 m/s (N)
v′ = m/s
Answer key
- 1. V = 1.8 m/s
- 2. v′2 = 3.5 m/s
- 3. v′1 = −3.429 m/s
- 4. v′2 = 6.667 m/s
- 5. v′ = 11.25 m/s
- 6. v′ = 15.73 m/s
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