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 750 N for 8 ms. Find the speed v of the ball just after the kick.

m = 0.1 kgFavg = 750 NΔt = 8 ms
v = m/s
2.Easy
0.4 kgv = ?

A 0.4 kg ball at rest is kicked. The foot pushes it with an average force of 700 N for 15 ms. Find the speed v of the ball just after the kick.

m = 0.4 kgFavg = 700 NΔt = 15 ms
v = m/s
3.Medium
2 kg9 m/s3 kg

A 2 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 3 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 = 2 kgm2 = 3 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
4.5 kg6 m/s4 kg

A 4.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 4 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 4.5 kgm2 = 4 kgv1 = 6 m/sv2 = 0
v′2 = m/s
5.Hard
1800 kgv1​ = ?1100 kg

A 1800 kg car runs into a parked 1100 kg car. The wrecks lock together and skid 17.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1800 kgm2 = 1100 kgd = 17.5 mμ = 0.8g = 9.81 m/s²
v1 = m/s
6.Hard
10 m/s16 m/s

A 0.3 kg ball hits a wall at 10 m/s and bounces straight back at 16 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.3 kgvin = 10 m/svout = 16 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v = 60 m/s
  2. 2. v = 26.25 m/s
  3. 3. v′1 = −1.8 m/s
  4. 4. v′2 = 6.353 m/s
  5. 5. v1 = 26.7 m/s
  6. 6. Favg = 780 N

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