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
1000 kg18 m/s1600 kg13 m/s

A 1000 kg car moving at 18 m/s collides head-on with a 1600 kg car moving at 13 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 = 1000 kgv1 = 18 m/sm2 = 1600 kgv2 = −13 m/s
v′ = m/s
2.Easy
700 kg21 m/s1200 kg

A 700 kg car moving at 21 m/s runs into a stationary 1200 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 700 kgv1 = 21 m/sm2 = 1200 kgv2 = 0 m/s
v′ = m/s
3.Medium
1 kg4 m/s1.5 kg

A 1 kg glider moving at 4 m/s makes a perfectly elastic head-on collision with a 1.5 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 = 1.5 kgv1 = 4 m/sv2 = 0
v′1 = m/s
4.Medium
4 kg8 m/s0.5 kg

A 4 kg glider moving at 8 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 = 4 kgm2 = 0.5 kgv1 = 8 m/sv2 = 0
v′1 = m/s
5.Hard
1700 kg15 m/s900 kg8 m/sθ = ?

At a crossing a 1700 kg car travelling east at 15 m/s collides with a 900 kg car travelling north at 8 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1700 kgv1 = 15 m/s (E)m2 = 900 kgv2 = 8 m/s (N)
θ = °
6.Hard
1100 kgv1​ = ?1200 kg

A 1100 kg car runs into a parked 1200 kg car. The wrecks lock together and skid 16.5 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 = 1100 kgm2 = 1200 kgd = 16.5 mμ = 0.7g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′ = −1.077 m/s
  2. 2. v′ = 7.737 m/s
  3. 3. v′1 = −0.8 m/s
  4. 4. v′1 = 6.222 m/s
  5. 5. θ = 15.77 °
  6. 6. v1 = 31.48 m/s

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