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
500 kg25 m/s1600 kg11 m/s

A 500 kg car moving at 25 m/s collides head-on with a 1600 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 = 500 kgv1 = 25 m/sm2 = 1600 kgv2 = −11 m/s
v′ = m/s
2.Easy
0.35 kgv = ?

A 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 600 N for 12 ms. Find the speed v of the ball just after the kick.

m = 0.35 kgFavg = 600 NΔt = 12 ms
v = m/s
3.Medium
4 kg8 m/s5 kg

A 4 kg glider moving at 8 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 4 kgm2 = 5 kgv1 = 8 m/sv2 = 0
v′2 = m/s
4.Medium
1 kgv = ?5 gh = 14 cm

A 5 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 14 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 1 kgh = 14 cmg = 9.81 m/s²
v = m/s
5.Hard
1300 kg15 m/s1600 kg18 m/sv′ = ?

At a crossing a 1300 kg car travelling east at 15 m/s collides with a 1600 kg car travelling north at 18 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1300 kgv1 = 15 m/s (E)m2 = 1600 kgv2 = 18 m/s (N)
v′ = m/s
6.Hard
900 kg10 m/s1100 kg17 m/sv′ = ?

At a crossing a 900 kg car travelling east at 10 m/s collides with a 1100 kg car travelling north at 17 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 900 kgv1 = 10 m/s (E)m2 = 1100 kgv2 = 17 m/s (N)
v′ = m/s

Answer key

  1. 1. v′ = −2.429 m/s
  2. 2. v = 20.57 m/s
  3. 3. v′2 = 7.111 m/s
  4. 4. v = 333.1 m/s
  5. 5. v′ = 11.99 m/s
  6. 6. v′ = 10.38 m/s

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