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
800 kg7 m/s1400 kg14 m/s

An 800 kg car moving at 7 m/s collides head-on with a 1400 kg car moving at 14 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 = 800 kgv1 = 7 m/sm2 = 1400 kgv2 = −14 m/s
v′ = m/s
2.Easy
1800 kg8 m/s1800 kg

A 1800 kg car moving at 8 m/s runs into a stationary 1800 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1800 kgv1 = 8 m/sm2 = 1800 kgv2 = 0 m/s
v′ = m/s
3.Medium
12 kg65 m/s3 kgv′2​ = ?

A 15 kg projectile moving horizontally at 21 m/s explodes into two fragments that move along the same line. The 12 kg fragment continues forwards at 65 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).

M = 15 kgu = 21 m/sm1 = 12 kgv′1 = 65 m/sm2 = 3 kg
v′2 = m/s
4.Medium
2.5 kg6 m/s5 kg

A 2.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 2.5 kgm2 = 5 kgv1 = 6 m/sv2 = 0
v′2 = m/s
5.Hard
1000 kgv1​ = ?900 kg

A 1000 kg car runs into a parked 900 kg car. The wrecks lock together and skid 13.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1000 kgm2 = 900 kgd = 13.5 mμ = 0.5g = 9.81 m/s²
v1 = m/s
6.Hard
1200 kgv1​ = ?900 kg

A 1200 kg car runs into a parked 900 kg car. The wrecks lock together and skid 6.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1200 kgm2 = 900 kgd = 6.5 mμ = 0.5g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′ = −6.364 m/s
  2. 2. v′ = 4 m/s
  3. 3. v′2 = −155 m/s
  4. 4. v′2 = 4 m/s
  5. 5. v1 = 21.87 m/s
  6. 6. v1 = 13.97 m/s

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