1.Easy
A 500 kg car moving at 12 m/s runs into a stationary 1000 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 = 12 m/sm2 = 1000 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1600 kg car moving at 18 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1600 kgv1 = 18 m/sm2 = 1300 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 3 kg glider moving at 12 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 = 3 kgm2 = 1.5 kgv1 = 12 m/sv2 = 0
v′1 = m/s
4.Medium
A 5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 3 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 = 5 kgm2 = 3 kgv1 = 9 m/sv2 = 0
v′1 = m/s
5.Hard
A 1200 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 8.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
m1 = 1200 kgm2 = 1900 kgd = 8.5 mμ = 0.5g = 9.81 m/s²
v1 = m/s
6.Hard
A 1800 kg car runs into a parked 1800 kg car. The wrecks lock together and skid 18 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
m1 = 1800 kgm2 = 1800 kgd = 18 mμ = 0.75g = 9.81 m/s²
v1 = m/s
Answer key
- 1. v′ = 4 m/s
- 2. v′ = 9.931 m/s
- 3. v′1 = 4 m/s
- 4. v′1 = 2.25 m/s
- 5. v1 = 23.59 m/s
- 6. v1 = 32.55 m/s
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