A 1000 kg car moving at 25 m/s collides head-on with a 1100 kg car moving at 10 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 1.5 kg trolley moving at 2 m/s runs into a 1 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 1800 kg car moving at 19 m/s runs into a stationary 1800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
A 1400 kg car moving at 18 m/s runs into a stationary 1700 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 0.55 kg ball hits a wall at 29 m/s and bounces straight back at 17 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
At a crossing a 1500 kg car travelling east at 14 m/s collides with a 2000 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
Answer key
- 1. v′ = 6.667 m/s
- 2. v′2 = 2.25 m/s
- 3. ΔK = 162450 J
- 4. ΔK/K = 54.84 %
- 5. J = 25.3 N·s
- 6. v′ = 12.4 m/s
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