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
1700 kg19 m/s1300 kg11 m/s

A 1700 kg car moving at 19 m/s collides head-on with a 1300 kg car moving at 11 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 = 1700 kgv1 = 19 m/sm2 = 1300 kgv2 = −11 m/s
v′ = m/s
2.Easy
700 kg14 m/s600 kg

A 700 kg car moving at 14 m/s runs into a stationary 600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 700 kgv1 = 14 m/sm2 = 600 kgv2 = 0 m/s
v′ = m/s
3.Medium
3 kg10 m/s1 kg

A 3 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 1 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 = 3 kgm2 = 1 kgv1 = 10 m/sv2 = 0
v′1 = m/s
4.Medium
1.5 kg3 m/s3 kg

A 1.5 kg glider moving at 3 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 = 1.5 kgm2 = 3 kgv1 = 3 m/sv2 = 0
v′1 = m/s
5.Hard
3 kgv = ?10 g30°L = 1.8 m

A 10 g bullet is fired horizontally into a 3 kg block hanging from light strings 1.8 m long, and stays in it. The strings swing out to a largest angle of 30° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 10 gM = 3 kgL = 1.8 mθ = 30°g = 9.81 m/s²
v = m/s
6.Hard
28 m/s4 m/s

A 0.35 kg ball hits a wall at 28 m/s and bounces straight back at 4 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.35 kgvin = 28 m/svout = 4 m/sΔt = 50 ms
J = N·s

Answer key

  1. 1. v′ = 6 m/s
  2. 2. v′ = 7.538 m/s
  3. 3. v′1 = 5 m/s
  4. 4. v′1 = −1 m/s
  5. 5. v = 654.7 m/s
  6. 6. J = 11.2 N·s

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