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 0.15 kg ball at rest is kicked. The foot pushes it with an average force of 100 N for 5 ms. Find the speed v of the ball just after the kick.

m = 0.15 kgF_avg = 100 NΔt = 5 ms

v = m/s

2.Easy

A 4.5 kg rifle, free to move, fires a 4 g bullet at 550 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 4.5 kgm = 4 gv = 550 m/s

V = m/s

3.Medium

A 4.5 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 3.5 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 = 4.5 kgm₂ = 3.5 kgv₁ = 8 m/sv₂ = 0

v′₁ = m/s

4.Medium

A 4 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 1.5 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 = 4 kgm₂ = 1.5 kgv₁ = 9 m/sv₂ = 0

v′₁ = m/s

5.Hard

A 0.6 kg ball hits a wall at 28 m/s and bounces straight back at 5 m/s. The contact lasts 25 ms. Find the average force F_avg of the wall on the ball.

m = 0.6 kgv_in = 28 m/sv_out = 5 m/sΔt = 25 ms

F_avg = N

6.Hard

A 0.45 kg ball hits a wall at 29 m/s and bounces straight back at 7 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.45 kgv_in = 29 m/sv_out = 7 m/sΔt = 5 ms

J = N·s

Answer key

1. v = 3.333 m/s
2. V = 0.4889 m/s
3. v′₁ = 1 m/s
4. v′₁ = 4.091 m/s
5. F_avg = 792 N
6. J = 16.2 N·s

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