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
1 kg9 m/s3 kg

A 1 kg trolley moving at 9 m/s runs into a 3 kg trolley at rest. After the collision the first trolley continues in the same direction at 1.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 1 kgv1 = 9 m/sm2 = 3 kgv′1 = 1.5 m/s
v′2 = m/s
2.Easy
1500 kg14 m/s1100 kg

A 1500 kg car moving at 14 m/s runs into a stationary 1100 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1500 kgv1 = 14 m/sm2 = 1100 kgv2 = 0 m/s
v′ = m/s
3.Medium
1 kgv = ?10 gh = 4 cm

A 10 g bullet is fired horizontally into a 1 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 4 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 10 gM = 1 kgh = 4 cmg = 9.81 m/s²
v = m/s
4.Medium
1.5 kg3 m/s1 kg

A 1.5 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 1 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 = 1.5 kgm2 = 1 kgv1 = 3 m/sv2 = 0
v′1 = m/s
5.Hard
20 m/s14 m/s

A 0.3 kg ball hits a wall at 20 m/s and bounces straight back at 14 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.3 kgvin = 20 m/svout = 14 m/sΔt = 50 ms
Favg = N
6.Hard
18 m/s4 m/s

A 0.6 kg ball hits a wall at 18 m/s and bounces straight back at 4 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.6 kgvin = 18 m/svout = 4 m/sΔt = 10 ms
J = N·s

Answer key

  1. 1. v′2 = 2.5 m/s
  2. 2. v′ = 8.077 m/s
  3. 3. v = 89.47 m/s
  4. 4. v′1 = 0.6 m/s
  5. 5. Favg = 204 N
  6. 6. J = 13.2 N·s

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