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
1300 kg15 m/s1000 kg15 m/s

A 1300 kg car moving at 15 m/s collides head-on with a 1000 kg car moving at 15 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 = 1300 kgv1 = 15 m/sm2 = 1000 kgv2 = −15 m/s
v′ = m/s
2.Easy
1700 kg19 m/s1000 kg

A 1700 kg car moving at 19 m/s runs into a stationary 1000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1700 kgv1 = 19 m/sm2 = 1000 kgv2 = 0 m/s
v′ = m/s
3.Medium
1 kgv = ?15 gh = 24 cm

A 15 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 24 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 kgh = 24 cmg = 9.81 m/s²
v = m/s
4.Medium
1.5 kgv = ?20 gh = 8 cm

A 20 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 8 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 20 gM = 1.5 kgh = 8 cmg = 9.81 m/s²
v = m/s
5.Hard
12 m/s7 m/s

A 0.1 kg ball hits a wall at 12 m/s and bounces straight back at 7 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.1 kgvin = 12 m/svout = 7 m/sΔt = 20 ms
J = N·s
6.Hard
19 m/s20 m/s

A 0.15 kg ball hits a wall at 19 m/s and bounces straight back at 20 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.15 kgvin = 19 m/svout = 20 m/sΔt = 25 ms
J = N·s

Answer key

  1. 1. v′ = 1.957 m/s
  2. 2. v′ = 11.96 m/s
  3. 3. v = 146.8 m/s
  4. 4. v = 95.22 m/s
  5. 5. J = 1.9 N·s
  6. 6. J = 5.85 N·s

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