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 800 N for 15 ms. Find the speed v of the ball just after the kick.

m = 0.4 kgFavg = 800 NΔt = 15 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 600 N for 5 ms. Find the speed v of the ball just after the kick.

m = 0.45 kgFavg = 600 NΔt = 5 ms
v = m/s
3.Medium
3.5 kg6 m/s2.5 kg

A 3.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 3.5 kgm2 = 2.5 kgv1 = 6 m/sv2 = 0
v′2 = m/s
4.Medium
1000 kg7 m/s1600 kg

A 1000 kg car moving at 7 m/s runs into a stationary 1600 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1000 kgv1 = 7 m/sm2 = 1600 kgv2 = 0
ΔK = J
5.Hard
1600 kgv1​ = ?800 kg

A 1600 kg car runs into a parked 800 kg car. The wrecks lock together and skid 24.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1600 kgm2 = 800 kgd = 24.5 mμ = 0.75g = 9.81 m/s²
v1 = m/s
6.Hard
26 m/s11 m/s

A 0.1 kg ball hits a wall at 26 m/s and bounces straight back at 11 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.1 kgvin = 26 m/svout = 11 m/sΔt = 20 ms
Favg = N

Answer key

  1. 1. v = 30 m/s
  2. 2. v = 6.667 m/s
  3. 3. v′2 = 7 m/s
  4. 4. ΔK = 15077 J
  5. 5. v1 = 28.48 m/s
  6. 6. Favg = 185 N

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