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
0.1 kgv = ?

A 0.1 kg ball at rest is kicked. The foot pushes it with an average force of 300 N for 2 ms. Find the speed v of the ball just after the kick.

m = 0.1 kgFavg = 300 NΔt = 2 ms
v = m/s
2.Easy
0.45 kgv = ?

A 0.45 kg ball at rest is kicked. The foot pushes it with an average force of 300 N for 5 ms. Find the speed v of the ball just after the kick.

m = 0.45 kgFavg = 300 NΔt = 5 ms
v = m/s
3.Medium
2 kgv = ?20 gh = 5 cm

A 20 g bullet is fired horizontally into a 2 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 5 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 20 gM = 2 kgh = 5 cmg = 9.81 m/s²
v = m/s
4.Medium
2 kg3 m/s3 kg

A 2 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 3 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 2 kgm2 = 3 kgv1 = 3 m/sv2 = 0
v′2 = m/s
5.Hard
800 kg22 m/s800 kg9 m/sθ = ?

At a crossing an 800 kg car travelling east at 22 m/s collides with an 800 kg car travelling north at 9 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 800 kgv1 = 22 m/s (E)m2 = 800 kgv2 = 9 m/s (N)
θ = °
6.Hard
1800 kg22 m/s900 kg19 m/sv′ = ?

At a crossing a 1800 kg car travelling east at 22 m/s collides with a 900 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1800 kgv1 = 22 m/s (E)m2 = 900 kgv2 = 19 m/s (N)
v′ = m/s

Answer key

  1. 1. v = 6 m/s
  2. 2. v = 3.333 m/s
  3. 3. v = 100 m/s
  4. 4. v′2 = 2.4 m/s
  5. 5. θ = 22.25 °
  6. 6. v′ = 15.98 m/s

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