Momentum & collisions worksheet with answers

Free printable Momentum & collisions worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A 500 kg car moving at 21 m/s runs into a stationary 1200 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m₁ = 500 kgv₁ = 21 m/sm₂ = 1200 kgv₂ = 0 m/s

v′ = m/s

2.Easy

A 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 650 N for 20 ms. Find the speed v of the ball just after the kick.

m = 0.35 kgF_avg = 650 NΔt = 20 ms

v = m/s

3.Medium

A 2.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′₂ of the second glider after the collision.

m₁ = 2.5 kgm₂ = 4.5 kgv₁ = 2 m/sv₂ = 0

v′₂ = m/s

4.Medium

A 1 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 3 kg glider at rest on a frictionless track. Find the velocity v′₂ of the second glider after the collision.

m₁ = 1 kgm₂ = 3 kgv₁ = 7 m/sv₂ = 0

v′₂ = m/s

5.Hard

A 0.4 kg ball hits a wall at 9 m/s and bounces straight back at 19 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.4 kgv_in = 9 m/sv_out = 19 m/sΔt = 5 ms

J = N·s

6.Hard

A 0.35 kg ball hits a wall at 19 m/s and bounces straight back at 6 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.35 kgv_in = 19 m/sv_out = 6 m/sΔt = 5 ms

J = N·s

Answer key

1. v′ = 6.176 m/s
2. v = 37.14 m/s
3. v′₂ = 1.429 m/s
4. v′₂ = 3.5 m/s
5. J = 11.2 N·s
6. J = 8.75 N·s

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