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 kg21 m/s2000 kg7 m/s

An 800 kg car moving at 21 m/s collides head-on with a 2000 kg car moving at 7 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 = 21 m/sm2 = 2000 kgv2 = −7 m/s
v′ = m/s
2.Easy
4.5 kg2 m/s3.5 kg

A 4.5 kg trolley moving at 2 m/s runs into a 3.5 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 = 4.5 kgv1 = 2 m/sm2 = 3.5 kgv′1 = 0.5 m/s
v′2 = m/s
3.Medium
3 kg3 m/s4.5 kg

A 3 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 4.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 3 kgm2 = 4.5 kgv1 = 3 m/sv2 = 0
v′2 = m/s
4.Medium
800 kg5 m/s500 kg

An 800 kg car moving at 5 m/s runs into a stationary 500 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 800 kgv1 = 5 m/sm2 = 500 kgv2 = 0
ΔK = J
5.Hard
1800 kgv1​ = ?1900 kg

A 1800 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 20 m before stopping. The coefficient of kinetic friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1800 kgm2 = 1900 kgd = 20 mμ = 0.6g = 9.81 m/s²
v1 = m/s
6.Hard
8 m/s10 m/s

A 0.6 kg ball hits a wall at 8 m/s and bounces straight back at 10 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 8 m/svout = 10 m/sΔt = 50 ms
Favg = N

Answer key

  1. 1. v′ = 1 m/s
  2. 2. v′2 = 1.929 m/s
  3. 3. v′2 = 2.4 m/s
  4. 4. ΔK = 3846 J
  5. 5. v1 = 31.54 m/s
  6. 6. Favg = 216 N

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