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
2000 kg19 m/s1900 kg4 m/s

A 2000 kg car moving at 19 m/s collides head-on with a 1900 kg car moving at 4 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 = 2000 kgv1 = 19 m/sm2 = 1900 kgv2 = −4 m/s
v′ = m/s
2.Easy
5.5 kg700 m/sV = ?

A 5.5 kg rifle, free to move, fires an 8 g bullet at 700 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 5.5 kgm = 8 gv = 700 m/s
V = m/s
3.Medium
3.5 kg11 m/s0.5 kg

A 3.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 0.5 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 = 0.5 kgv1 = 11 m/sv2 = 0
v′1 = m/s
4.Medium
1000 kg13 m/s900 kg

A 1000 kg car moving at 13 m/s runs into a stationary 900 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1000 kgv1 = 13 m/sm2 = 900 kgv2 = 0
ΔK/K = %
5.Hard
24 m/s14 m/s

A 0.4 kg ball hits a wall at 24 m/s and bounces straight back at 14 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.

m = 0.4 kgvin = 24 m/svout = 14 m/sΔt = 25 ms
Favg = N
6.Hard
22 m/s19 m/s

A 0.35 kg ball hits a wall at 22 m/s and bounces straight back at 19 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.35 kgvin = 22 m/svout = 19 m/sΔt = 20 ms
J = N·s

Answer key

  1. 1. v′ = 7.795 m/s
  2. 2. V = 1.018 m/s
  3. 3. v′1 = 8.25 m/s
  4. 4. ΔK/K = 47.37 %
  5. 5. Favg = 608 N
  6. 6. J = 14.35 N·s

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