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
1900 kg6 m/s900 kg11 m/s

A 1900 kg car moving at 6 m/s collides head-on with a 900 kg car moving at 11 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 = 1900 kgv1 = 6 m/sm2 = 900 kgv2 = −11 m/s
v′ = m/s
2.Easy
600 kg21 m/s500 kg

A 600 kg car moving at 21 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 600 kgv1 = 21 m/sm2 = 500 kgv2 = 0 m/s
v′ = m/s
3.Medium
1.5 kgv = ?15 gh = 3 cm

A 15 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 3 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 15 gM = 1.5 kgh = 3 cmg = 9.81 m/s²
v = m/s
4.Medium
4.5 kg6 m/s2.5 kg

A 4.5 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 = 4.5 kgm2 = 2.5 kgv1 = 6 m/sv2 = 0
v′1 = m/s
5.Hard
18 m/s18 m/s

A 0.6 kg ball hits a wall at 18 m/s and bounces straight back at 18 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 18 m/svout = 18 m/sΔt = 20 ms
Favg = N
6.Hard
27 m/s16 m/s

A 0.3 kg ball hits a wall at 27 m/s and bounces straight back at 16 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.3 kgvin = 27 m/svout = 16 m/sΔt = 50 ms
Favg = N

Answer key

  1. 1. v′ = 0.5357 m/s
  2. 2. v′ = 11.45 m/s
  3. 3. v = 77.49 m/s
  4. 4. v′1 = 1.714 m/s
  5. 5. Favg = 1080 N
  6. 6. Favg = 258 N

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