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
0.5 kg4 m/s0.5 kg

A 0.5 kg trolley moving at 4 m/s runs into a 0.5 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 = 0.5 kgv1 = 4 m/sm2 = 0.5 kgv′1 = 1 m/s
v′2 = m/s
2.Easy
3 kg600 m/sV = ?

A 3 kg rifle, free to move, fires a 4 g bullet at 600 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 3 kgm = 4 gv = 600 m/s
V = m/s
3.Medium
4 kg5 m/s1 kg

A 4 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 1 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 kgv1 = 5 m/sv2 = 0
v′1 = m/s
4.Medium
3.5 kg11 m/s3 kg

A 3.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 3 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 = 3 kgv1 = 11 m/sv2 = 0
v′1 = m/s
5.Hard
1400 kgv1​ = ?2000 kg

A 1400 kg car runs into a parked 2000 kg car. The wrecks lock together and skid 20 m before stopping. The coefficient of kinetic friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1400 kgm2 = 2000 kgd = 20 mμ = 0.7g = 9.81 m/s²
v1 = m/s
6.Hard
800 kgv1​ = ?1900 kg

An 800 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 6.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 800 kgm2 = 1900 kgd = 6.5 mμ = 0.75g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′2 = 3 m/s
  2. 2. V = 0.8 m/s
  3. 3. v′1 = 3 m/s
  4. 4. v′1 = 0.8462 m/s
  5. 5. v1 = 40.25 m/s
  6. 6. v1 = 33.01 m/s

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