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
1100 kg5 m/s1800 kg12 m/s

A 1100 kg car moving at 5 m/s collides head-on with a 1800 kg car moving at 12 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 = 1100 kgv1 = 5 m/sm2 = 1800 kgv2 = −12 m/s
v′ = m/s
2.Easy
6 kg550 m/sV = ?

A 6 kg rifle, free to move, fires an 8 g bullet at 550 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 6 kgm = 8 gv = 550 m/s
V = m/s
3.Medium
2.5 kg9 m/s0.5 kg

A 2.5 kg glider moving at 9 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 = 2.5 kgm2 = 0.5 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
4.5 kg6 m/s2 kg

A 4.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 2 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 = 4.5 kgm2 = 2 kgv1 = 6 m/sv2 = 0
v′1 = m/s
5.Hard
10 m/s15 m/s

A 0.25 kg ball hits a wall at 10 m/s and bounces straight back at 15 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.25 kgvin = 10 m/svout = 15 m/sΔt = 5 ms
Favg = N
6.Hard
22 m/s6 m/s

A 0.5 kg ball hits a wall at 22 m/s and bounces straight back at 6 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.5 kgvin = 22 m/svout = 6 m/sΔt = 10 ms
J = N·s

Answer key

  1. 1. v′ = −5.552 m/s
  2. 2. V = 0.7333 m/s
  3. 3. v′1 = 6 m/s
  4. 4. v′1 = 2.308 m/s
  5. 5. Favg = 1250 N
  6. 6. J = 14 N·s

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