1.Easy
A 900 kg car moving at 17 m/s runs into a stationary 600 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 = 17 m/sm2 = 600 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 2000 kg car moving at 21 m/s runs into a stationary 700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 2000 kgv1 = 21 m/sm2 = 700 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 0.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 4 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 = 4 kgv1 = 6 m/sv2 = 0
v′1 = m/s
4.Medium
A 20 g bullet is fired horizontally into a 3 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 15 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
m = 20 gM = 3 kgh = 15 cmg = 9.81 m/s²
v = m/s
5.Hard
A 1400 kg car runs into a parked 1300 kg car. The wrecks lock together and skid 11 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
m1 = 1400 kgm2 = 1300 kgd = 11 mμ = 0.8g = 9.81 m/s²
v1 = m/s
6.Hard
An 800 kg car runs into a parked 1000 kg car. The wrecks lock together and skid 18 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
m1 = 800 kgm2 = 1000 kgd = 18 mμ = 0.8g = 9.81 m/s²
v1 = m/s
Answer key
- 1. v′ = 10.2 m/s
- 2. v′ = 15.56 m/s
- 3. v′1 = −4.667 m/s
- 4. v = 259 m/s
- 5. v1 = 25.34 m/s
- 6. v1 = 37.82 m/s
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