A 900 kg car moving at 15 m/s collides head-on with a 900 kg car moving at 12 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 1500 kg car moving at 23 m/s collides head-on with a 1300 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).
A 4 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
A 7 kg projectile moving horizontally at 26 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 48 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
At a crossing a 1700 kg car travelling east at 25 m/s collides with a 2000 kg car travelling north at 16 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
A 0.35 kg ball hits a wall at 19 m/s and bounces straight back at 18 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.
Answer key
- 1. v′ = 1.5 m/s
- 2. v′ = 6.286 m/s
- 3. v′2 = 14.4 m/s
- 4. v′2 = −106 m/s
- 5. v′ = 14.38 m/s
- 6. J = 12.95 N·s
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