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
500 kg25 m/s1200 kg5 m/s

A 500 kg car moving at 25 m/s collides head-on with a 1200 kg car moving at 5 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 = 500 kgv1 = 25 m/sm2 = 1200 kgv2 = −5 m/s
v′ = m/s
2.Easy
1400 kg19 m/s900 kg10 m/s

A 1400 kg car moving at 19 m/s collides head-on with a 900 kg car moving at 10 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 = 1400 kgv1 = 19 m/sm2 = 900 kgv2 = −10 m/s
v′ = m/s
3.Medium
4.5 kg3 m/s3 kg

A 4.5 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′2 of the second glider after the collision.

m1 = 4.5 kgm2 = 3 kgv1 = 3 m/sv2 = 0
v′2 = m/s
4.Medium
4.5 kg12 m/s0.5 kg

A 4.5 kg glider moving at 12 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 = 4.5 kgm2 = 0.5 kgv1 = 12 m/sv2 = 0
v′2 = m/s
5.Hard
1.5 kgv = ?15 g15°L = 1.2 m

A 15 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 1.2 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 15 gM = 1.5 kgL = 1.2 mθ = 15°g = 9.81 m/s²
v = m/s
6.Hard
17 m/s10 m/s

A 0.4 kg ball hits a wall at 17 m/s and bounces straight back at 10 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.4 kgvin = 17 m/svout = 10 m/sΔt = 50 ms
Favg = N

Answer key

  1. 1. v′ = 3.824 m/s
  2. 2. v′ = 7.652 m/s
  3. 3. v′2 = 3.6 m/s
  4. 4. v′2 = 21.6 m/s
  5. 5. v = 90.46 m/s
  6. 6. Favg = 216 N

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