1.Easy
A 1900 kg car moving at 10 m/s runs into a stationary 1700 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 = 10 m/sm2 = 1700 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 4 kg trolley moving at 9.5 m/s runs into a 1.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 4.5 m/s. Find the velocity v′2 of the second trolley.
m1 = 4 kgv1 = 9.5 m/sm2 = 1.5 kgv′1 = 4.5 m/s
v′2 = m/s
3.Medium
A 2 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 3.5 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 = 3.5 kgv1 = 7 m/sv2 = 0
v′1 = m/s
4.Medium
A 2 kg glider moving at 4 m/s makes a perfectly elastic head-on collision with a 3.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 2 kgm2 = 3.5 kgv1 = 4 m/sv2 = 0
v′2 = m/s
5.Hard
At a crossing a 1900 kg car travelling east at 12 m/s collides with an 800 kg car travelling north at 16 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
m1 = 1900 kgv1 = 12 m/s (E)m2 = 800 kgv2 = 16 m/s (N)
θ = °
6.Hard
At a crossing a 1900 kg car travelling east at 12 m/s collides with a 1100 kg car travelling north at 23 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 1900 kgv1 = 12 m/s (E)m2 = 1100 kgv2 = 23 m/s (N)
v′ = m/s
Answer key
- 1. v′ = 5.278 m/s
- 2. v′2 = 13.33 m/s
- 3. v′1 = −1.909 m/s
- 4. v′2 = 2.909 m/s
- 5. θ = 29.31 °
- 6. v′ = 11.35 m/s
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