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 kg5.5 m/s1.5 kg

A 0.5 kg trolley moving at 5.5 m/s runs into a 1.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 0.5 kgv1 = 5.5 m/sm2 = 1.5 kgv′1 = 0.5 m/s
v′2 = m/s
2.Easy
4 kg2 m/s5 kg

A 4 kg trolley moving at 2 m/s runs into a 5 kg trolley at rest. After the collision the first trolley is at rest. Find the velocity v′2 of the second trolley.

m1 = 4 kgv1 = 2 m/sm2 = 5 kgv′1 = 0 m/s
v′2 = m/s
3.Medium
1 kg6 m/s2.5 kg

A 1 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2.5 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 = 1 kgm2 = 2.5 kgv1 = 6 m/sv2 = 0
v′1 = m/s
4.Medium
3 kg11 m/s5 kg

A 3 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′1 of the first glider after the collision (positive in its original direction).

m1 = 3 kgm2 = 5 kgv1 = 11 m/sv2 = 0
v′1 = m/s
5.Hard
1500 kgv1​ = ?1800 kg

A 1500 kg car runs into a parked 1800 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 = 1500 kgm2 = 1800 kgd = 20 mμ = 0.7g = 9.81 m/s²
v1 = m/s
6.Hard
1500 kg20 m/s1300 kg16 m/sv′ = ?

At a crossing a 1500 kg car travelling east at 20 m/s collides with a 1300 kg car travelling north at 16 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1500 kgv1 = 20 m/s (E)m2 = 1300 kgv2 = 16 m/s (N)
v′ = m/s

Answer key

  1. 1. v′2 = 1.667 m/s
  2. 2. v′2 = 1.6 m/s
  3. 3. v′1 = −2.571 m/s
  4. 4. v′1 = −2.75 m/s
  5. 5. v1 = 36.46 m/s
  6. 6. v′ = 13.04 m/s

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