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 2000 kg car moving at 22 m/s runs into a stationary 1100 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m₁ = 2000 kgv₁ = 22 m/sm₂ = 1100 kgv₂ = 0 m/s

v′ = m/s

2.Easy

A 1600 kg car moving at 5 m/s collides head-on with a 1000 kg car moving at 9 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m₁ = 1600 kgv₁ = 5 m/sm₂ = 1000 kgv₂ = −9 m/s

v′ = m/s

3.Medium

A 1100 kg car moving at 9 m/s runs into a stationary 1000 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m₁ = 1100 kgv₁ = 9 m/sm₂ = 1000 kgv₂ = 0

ΔK = J

4.Medium

A 1300 kg car moving at 19 m/s runs into a stationary 1700 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m₁ = 1300 kgv₁ = 19 m/sm₂ = 1700 kgv₂ = 0

ΔK = J

5.Hard

A 0.15 kg ball hits a wall at 24 m/s and bounces straight back at 10 m/s. The contact lasts 10 ms. Find the average force F_avg of the wall on the ball.

m = 0.15 kgv_in = 24 m/sv_out = 10 m/sΔt = 10 ms

F_avg = N

6.Hard

A 0.3 kg ball hits a wall at 23 m/s and bounces straight back at 19 m/s. The contact lasts 10 ms. Find the average force F_avg of the wall on the ball.

m = 0.3 kgv_in = 23 m/sv_out = 19 m/sΔt = 10 ms

F_avg = N

Answer key

1. v′ = 14.19 m/s
2. v′ = −0.3846 m/s
3. ΔK = 21214 J
4. ΔK = 132968 J
5. F_avg = 510 N
6. F_avg = 1260 N

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