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
800 kg13 m/s1500 kg4 m/s

An 800 kg car moving at 13 m/s collides head-on with a 1500 kg car moving at 4 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 = 800 kgv1 = 13 m/sm2 = 1500 kgv2 = −4 m/s
v′ = m/s
2.Easy
0.35 kgv = ?

A 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 650 N for 10 ms. Find the speed v of the ball just after the kick.

m = 0.35 kgFavg = 650 NΔt = 10 ms
v = m/s
3.Medium
0.5 kg11 m/s2.5 kg

A 0.5 kg glider moving at 11 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′1 of the first glider after the collision (positive in its original direction).

m1 = 0.5 kgm2 = 2.5 kgv1 = 11 m/sv2 = 0
v′1 = m/s
4.Medium
1.5 kg2 m/s0.5 kg

A 1.5 kg glider moving at 2 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′1 of the first glider after the collision (positive in its original direction).

m1 = 1.5 kgm2 = 0.5 kgv1 = 2 m/sv2 = 0
v′1 = m/s
5.Hard
21 m/s16 m/s

A 0.2 kg ball hits a wall at 21 m/s and bounces straight back at 16 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.2 kgvin = 21 m/svout = 16 m/sΔt = 10 ms
J = N·s
6.Hard
1600 kgv1​ = ?1900 kg

A 1600 kg car runs into a parked 1900 kg car. The wrecks lock together and skid 22.5 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 = 1900 kgd = 22.5 mμ = 0.75g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′ = 1.913 m/s
  2. 2. v = 18.57 m/s
  3. 3. v′1 = −7.333 m/s
  4. 4. v′1 = 1 m/s
  5. 5. J = 7.4 N·s
  6. 6. v1 = 39.8 m/s

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