An 800 kg car moving at 7 m/s collides head-on with a 1400 kg car moving at 14 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 1800 kg car moving at 8 m/s runs into a stationary 1800 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 15 kg projectile moving horizontally at 21 m/s explodes into two fragments that move along the same line. The 12 kg fragment continues forwards at 65 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 2.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 1000 kg car runs into a parked 900 kg car. The wrecks lock together and skid 13.5 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.
A 1200 kg car runs into a parked 900 kg car. The wrecks lock together and skid 6.5 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.
Answer key
- 1. v′ = −6.364 m/s
- 2. v′ = 4 m/s
- 3. v′2 = −155 m/s
- 4. v′2 = 4 m/s
- 5. v1 = 21.87 m/s
- 6. v1 = 13.97 m/s
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