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
800 kg24 m/s1900 kg2 m/s

An 800 kg car moving at 24 m/s collides head-on with a 1900 kg car moving at 2 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 = 800 kgv1 = 24 m/sm2 = 1900 kgv2 = −2 m/s
v′ = m/s
2.Easy
2000 kg16 m/s1400 kg

A 2000 kg car moving at 16 m/s runs into a stationary 1400 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 2000 kgv1 = 16 m/sm2 = 1400 kgv2 = 0 m/s
v′ = m/s
3.Medium
3.5 kg12 m/s1 kg

A 3.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 3.5 kgm2 = 1 kgv1 = 12 m/sv2 = 0
v′2 = m/s
4.Medium
2.5 kg8 m/s4.5 kg

A 2.5 kg glider moving at 8 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 = 2.5 kgm2 = 4.5 kgv1 = 8 m/sv2 = 0
v′1 = m/s
5.Hard
1700 kg22 m/s2000 kg20 m/sθ = ?

At a crossing a 1700 kg car travelling east at 22 m/s collides with a 2000 kg car travelling north at 20 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1700 kgv1 = 22 m/s (E)m2 = 2000 kgv2 = 20 m/s (N)
θ = °
6.Hard
20 m/s17 m/s

A 0.1 kg ball hits a wall at 20 m/s and bounces straight back at 17 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.1 kgvin = 20 m/svout = 17 m/sΔt = 5 ms
J = N·s

Answer key

  1. 1. v′ = 5.704 m/s
  2. 2. v′ = 9.412 m/s
  3. 3. v′2 = 18.67 m/s
  4. 4. v′1 = −2.286 m/s
  5. 5. θ = 46.92 °
  6. 6. J = 3.7 N·s

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