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 0.5 kg ball at rest is kicked. The foot pushes it with an average force of 500 N for 10 ms. Find the speed v of the ball just after the kick.

m = 0.5 kgF_avg = 500 NΔt = 10 ms

v = m/s

2.Easy

A 0.1 kg ball at rest is kicked. The foot pushes it with an average force of 500 N for 4 ms. Find the speed v of the ball just after the kick.

m = 0.1 kgF_avg = 500 NΔt = 4 ms

v = m/s

3.Medium

A 3.5 kg glider moving at 4 m/s makes a perfectly elastic head-on collision with a 2.5 kg glider at rest on a frictionless track. Find the velocity v′₁ of the first glider after the collision (positive in its original direction).

m₁ = 3.5 kgm₂ = 2.5 kgv₁ = 4 m/sv₂ = 0

v′₁ = m/s

4.Medium

A 3 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′₂ of the second glider after the collision.

m₁ = 3 kgm₂ = 5 kgv₁ = 7 m/sv₂ = 0

v′₂ = m/s

5.Hard

A 0.5 kg ball hits a wall at 23 m/s and bounces straight back at 12 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.5 kgv_in = 23 m/sv_out = 12 m/sΔt = 25 ms

J = N·s

6.Hard

At a crossing a 2000 kg car travelling east at 18 m/s collides with a 1700 kg car travelling north at 9 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m₁ = 2000 kgv₁ = 18 m/s (E)m₂ = 1700 kgv₂ = 9 m/s (N)

v′ = m/s

Answer key

1. v = 10 m/s
2. v = 20 m/s
3. v′₁ = 0.6667 m/s
4. v′₂ = 5.25 m/s
5. J = 17.5 N·s
6. v′ = 10.57 m/s

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