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 4 kg rifle, free to move, fires a 12 g bullet at 750 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 4 kgm = 12 gv = 750 m/s

V = m/s

2.Easy

A 3.5 kg trolley moving at 3 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 1 m/s. Find the velocity v′₂ of the second trolley.

m₁ = 3.5 kgv₁ = 3 m/sm₂ = 3.5 kgv′₁ = 1 m/s

v′₂ = m/s

3.Medium

A 5 kg glider moving at 7 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.

m₁ = 5 kgm₂ = 1 kgv₁ = 7 m/sv₂ = 0

v′₂ = m/s

4.Medium

A 4.5 kg glider moving at 11 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 = 4.5 kgm₂ = 5 kgv₁ = 11 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 7 m/s. The contact lasts 20 ms. Find the average force F_avg of the wall on the ball.

m = 0.4 kgv_in = 9 m/sv_out = 7 m/sΔt = 20 ms

F_avg = N

6.Hard

A 0.25 kg ball hits a wall at 24 m/s and bounces straight back at 12 m/s. The contact lasts 40 ms. Find the average force F_avg of the wall on the ball.

m = 0.25 kgv_in = 24 m/sv_out = 12 m/sΔt = 40 ms

F_avg = N

Answer key

1. V = 2.25 m/s
2. v′₂ = 2 m/s
3. v′₂ = 11.67 m/s
4. v′₂ = 10.42 m/s
5. F_avg = 320 N
6. F_avg = 225 N

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