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 0.2 kg ball at rest is kicked. The foot pushes it with an average force of 100 N for 8 ms. Find the speed v of the ball just after the kick.

m = 0.2 kgF_avg = 100 NΔt = 8 ms

v = m/s

2.Easy

A 1 kg trolley moving at 3 m/s runs into a 1.5 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 = 1 kgv₁ = 3 m/sm₂ = 1.5 kgv′₁ = 1 m/s

v′₂ = m/s

3.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

4.Medium

A 500 kg car moving at 7 m/s runs into a stationary 1800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m₁ = 500 kgv₁ = 7 m/sm₂ = 1800 kgv₂ = 0

ΔK = J

5.Hard

A 0.1 kg ball hits a wall at 8 m/s and bounces straight back at 11 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.1 kgv_in = 8 m/sv_out = 11 m/sΔt = 40 ms

J = N·s

6.Hard

A 0.45 kg ball hits a wall at 22 m/s and bounces straight back at 7 m/s. The contact lasts 40 ms. Find the average force F_avg of the wall on the ball.

m = 0.45 kgv_in = 22 m/sv_out = 7 m/sΔt = 40 ms

F_avg = N

Answer key

1. v = 4 m/s
2. v′₂ = 1.333 m/s
3. v′₂ = 5.25 m/s
4. ΔK = 9587 J
5. J = 1.9 N·s
6. F_avg = 326.3 N

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