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
3 kg4.5 m/s3.5 kg

A 3 kg trolley moving at 4.5 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 1.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 3 kgv1 = 4.5 m/sm2 = 3.5 kgv′1 = 1.5 m/s
v′2 = m/s
2.Easy
6 kg900 m/sV = ?

A 6 kg rifle, free to move, fires a 5 g bullet at 900 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 6 kgm = 5 gv = 900 m/s
V = m/s
3.Medium
1.5 kg8 m/s0.5 kg

A 1.5 kg glider moving at 8 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 = 1.5 kgm2 = 0.5 kgv1 = 8 m/sv2 = 0
v′2 = m/s
4.Medium
800 kg6 m/s900 kg

An 800 kg car moving at 6 m/s runs into a stationary 900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 800 kgv1 = 6 m/sm2 = 900 kgv2 = 0
ΔK = J
5.Hard
27 m/s9 m/s

A 0.45 kg ball hits a wall at 27 m/s and bounces straight back at 9 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.45 kgvin = 27 m/svout = 9 m/sΔt = 25 ms
J = N·s
6.Hard
13 m/s13 m/s

A 0.45 kg ball hits a wall at 13 m/s and bounces straight back at 13 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.45 kgvin = 13 m/svout = 13 m/sΔt = 5 ms
J = N·s

Answer key

  1. 1. v′2 = 2.571 m/s
  2. 2. V = 0.75 m/s
  3. 3. v′2 = 12 m/s
  4. 4. ΔK = 7624 J
  5. 5. J = 16.2 N·s
  6. 6. J = 11.7 N·s

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