A 1000 kg car moving at 18 m/s collides head-on with a 1600 kg car moving at 13 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
Momentum & collisions worksheet with answers
A 700 kg car moving at 21 m/s runs into a stationary 1200 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 1 kg glider moving at 4 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).
A 4 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 0.5 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).
At a crossing a 1700 kg car travelling east at 15 m/s collides with a 900 kg car travelling north at 8 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
A 1100 kg car runs into a parked 1200 kg car. The wrecks lock together and skid 16.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.
Answer key
- 1. v′ = −1.077 m/s
- 2. v′ = 7.737 m/s
- 3. v′1 = −0.8 m/s
- 4. v′1 = 6.222 m/s
- 5. θ = 15.77 °
- 6. v1 = 31.48 m/s
Full step-by-step solutions: practise this topic on examproblems.com.