A 1900 kg car moving at 17 m/s collides head-on with a 1300 kg car moving at 5 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 1100 kg car moving at 13 m/s collides head-on with a 2000 kg car moving at 8 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).
A 13 kg projectile moving horizontally at 36 m/s explodes into two fragments that move along the same line. The 11 kg fragment continues forwards at 57 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).
A 5 kg projectile moving horizontally at 38 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 51 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
At a crossing a 1800 kg car travelling east at 20 m/s collides with a 1200 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
A 1000 kg car runs into a parked 1300 kg car. The wrecks lock together and skid 7 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′ = 8.063 m/s
- 2. v′ = −0.5484 m/s
- 3. v′2 = −79.5 m/s
- 4. v′2 = −14 m/s
- 5. v′ = 14.2 m/s
- 6. v1 = 19.06 m/s
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