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
600 kg5 m/s1400 kg9 m/s

A 600 kg car moving at 5 m/s collides head-on with a 1400 kg car moving at 9 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 = 600 kgv1 = 5 m/sm2 = 1400 kgv2 = −9 m/s
v′ = m/s
2.Easy
500 kg18 m/s1600 kg

A 500 kg car moving at 18 m/s runs into a stationary 1600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 500 kgv1 = 18 m/sm2 = 1600 kgv2 = 0 m/s
v′ = m/s
3.Medium
4 kg61 m/s5 kgv′2​ = ?

A 9 kg projectile moving horizontally at 33 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 61 m/s. Find the velocity v′2 of the 5 kg fragment (positive in the original direction).

M = 9 kgu = 33 m/sm1 = 4 kgv′1 = 61 m/sm2 = 5 kg
v′2 = m/s
4.Medium
3.5 kg6 m/s4.5 kg

A 3.5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 4.5 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 = 3.5 kgm2 = 4.5 kgv1 = 6 m/sv2 = 0
v′1 = m/s
5.Hard
14 m/s15 m/s

A 0.25 kg ball hits a wall at 14 m/s and bounces straight back at 15 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.25 kgvin = 14 m/svout = 15 m/sΔt = 5 ms
J = N·s
6.Hard
28 m/s4 m/s

A 0.55 kg ball hits a wall at 28 m/s and bounces straight back at 4 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.55 kgvin = 28 m/svout = 4 m/sΔt = 20 ms
J = N·s

Answer key

  1. 1. v′ = −4.8 m/s
  2. 2. v′ = 4.286 m/s
  3. 3. v′2 = 10.6 m/s
  4. 4. v′1 = −0.75 m/s
  5. 5. J = 7.25 N·s
  6. 6. J = 17.6 N·s

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