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
2 kg2 m/s3 kg

A 2 kg trolley moving at 2 m/s runs into a 3 kg trolley at rest. After the collision the first trolley is at rest. Find the velocity v′2 of the second trolley.

m1 = 2 kgv1 = 2 m/sm2 = 3 kgv′1 = 0 m/s
v′2 = m/s
2.Easy
1300 kg9 m/s1600 kg

A 1300 kg car moving at 9 m/s runs into a stationary 1600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1300 kgv1 = 9 m/sm2 = 1600 kgv2 = 0 m/s
v′ = m/s
3.Medium
1 kg11 m/s3 kg

A 1 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 = 1 kgm2 = 3 kgv1 = 11 m/sv2 = 0
v′1 = m/s
4.Medium
2.5 kg4 m/s2 kg

A 2.5 kg glider moving at 4 m/s makes a perfectly elastic head-on collision with a 2 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 = 2.5 kgm2 = 2 kgv1 = 4 m/sv2 = 0
v′1 = m/s
5.Hard
23 m/s19 m/s

A 0.5 kg ball hits a wall at 23 m/s and bounces straight back at 19 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.5 kgvin = 23 m/svout = 19 m/sΔt = 5 ms
Favg = N
6.Hard
26 m/s4 m/s

A 0.3 kg ball hits a wall at 26 m/s and bounces straight back at 4 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.3 kgvin = 26 m/svout = 4 m/sΔt = 20 ms
Favg = N

Answer key

  1. 1. v′2 = 1.333 m/s
  2. 2. v′ = 4.034 m/s
  3. 3. v′1 = −5.5 m/s
  4. 4. v′1 = 0.4444 m/s
  5. 5. Favg = 4200 N
  6. 6. Favg = 450 N

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