A 1800 kg car moving at 24 m/s collides head-on with a 900 kg car moving at 3 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 3.5 kg rifle, free to move, fires a 4 g bullet at 900 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 2000 kg car moving at 24 m/s runs into a stationary 1600 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?
A 9 kg projectile moving horizontally at 18 m/s explodes into two fragments that move along the same line. The 7 kg fragment continues forwards at 38 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).
A 0.4 kg ball hits a wall at 27 m/s and bounces straight back at 13 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
At a crossing a 1900 kg car travelling east at 20 m/s collides with a 1700 kg car travelling north at 19 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
Answer key
- 1. v′ = 15 m/s
- 2. V = 1.029 m/s
- 3. ΔK/K = 44.44 %
- 4. v′2 = −52 m/s
- 5. Favg = 3200 N
- 6. θ = 40.36 °
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