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
0.4 kgv = ?

A 0.4 kg ball at rest is kicked. The foot pushes it with an average force of 600 N for 5 ms. Find the speed v of the ball just after the kick.

m = 0.4 kgFavg = 600 NΔt = 5 ms
v = m/s
2.Easy
500 kg10 m/s1000 kg

A 500 kg car moving at 10 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 = 500 kgv1 = 10 m/sm2 = 1000 kgv2 = 0 m/s
v′ = m/s
3.Medium
2.5 kg5 m/s0.5 kg

A 2.5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 0.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 2.5 kgm2 = 0.5 kgv1 = 5 m/sv2 = 0
v′2 = m/s
4.Medium
4 kg10 m/s3.5 kg

A 4 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 3.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 4 kgm2 = 3.5 kgv1 = 10 m/sv2 = 0
v′2 = m/s
5.Hard
16 m/s19 m/s

A 0.6 kg ball hits a wall at 16 m/s and bounces straight back at 19 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.6 kgvin = 16 m/svout = 19 m/sΔt = 20 ms
J = N·s
6.Hard
28 m/s10 m/s

A 0.3 kg ball hits a wall at 28 m/s and bounces straight back at 10 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.3 kgvin = 28 m/svout = 10 m/sΔt = 5 ms
Favg = N

Answer key

  1. 1. v = 7.5 m/s
  2. 2. v′ = 3.333 m/s
  3. 3. v′2 = 8.333 m/s
  4. 4. v′2 = 10.67 m/s
  5. 5. J = 21 N·s
  6. 6. Favg = 2280 N

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