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
700 kg19 m/s1100 kg15 m/s

A 700 kg car moving at 19 m/s collides head-on with a 1100 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 = 700 kgv1 = 19 m/sm2 = 1100 kgv2 = −15 m/s
v′ = m/s
2.Easy
0.2 kgv = ?

A 0.2 kg ball at rest is kicked. The foot pushes it with an average force of 150 N for 12 ms. Find the speed v of the ball just after the kick.

m = 0.2 kgFavg = 150 NΔt = 12 ms
v = m/s
3.Medium
2000 kg17 m/s900 kg

A 2000 kg car moving at 17 m/s runs into a stationary 900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 2000 kgv1 = 17 m/sm2 = 900 kgv2 = 0
ΔK = J
4.Medium
2.5 kg5 m/s4.5 kg

A 2.5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 4.5 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 = 2.5 kgm2 = 4.5 kgv1 = 5 m/sv2 = 0
v′1 = m/s
5.Hard
1900 kg23 m/s1000 kg13 m/sv′ = ?

At a crossing a 1900 kg car travelling east at 23 m/s collides with a 1000 kg car travelling north at 13 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1900 kgv1 = 23 m/s (E)m2 = 1000 kgv2 = 13 m/s (N)
v′ = m/s
6.Hard
27 m/s12 m/s

A 0.45 kg ball hits a wall at 27 m/s and bounces straight back at 12 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.

m = 0.45 kgvin = 27 m/svout = 12 m/sΔt = 40 ms
Favg = N

Answer key

  1. 1. v′ = −1.778 m/s
  2. 2. v = 9 m/s
  3. 3. ΔK = 89690 J
  4. 4. v′1 = −1.429 m/s
  5. 5. v′ = 15.72 m/s
  6. 6. Favg = 438.8 N

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