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
1700 kg17 m/s500 kg8 m/s

A 1700 kg car moving at 17 m/s collides head-on with a 500 kg car moving at 8 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 = 1700 kgv1 = 17 m/sm2 = 500 kgv2 = −8 m/s
v′ = m/s
2.Easy
1600 kg12 m/s1000 kg4 m/s

A 1600 kg car moving at 12 m/s collides head-on with a 1000 kg car moving at 4 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 = 1600 kgv1 = 12 m/sm2 = 1000 kgv2 = −4 m/s
v′ = m/s
3.Medium
1 kg6 m/s2 kg

A 1 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 = 1 kgm2 = 2 kgv1 = 6 m/sv2 = 0
v′1 = m/s
4.Medium
1 kg8 m/s4.5 kg

A 1 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′2 of the second glider after the collision.

m1 = 1 kgm2 = 4.5 kgv1 = 8 m/sv2 = 0
v′2 = m/s
5.Hard
1300 kg18 m/s800 kg12 m/sθ = ?

At a crossing a 1300 kg car travelling east at 18 m/s collides with an 800 kg car travelling north at 12 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1300 kgv1 = 18 m/s (E)m2 = 800 kgv2 = 12 m/s (N)
θ = °
6.Hard
28 m/s11 m/s

A 0.25 kg ball hits a wall at 28 m/s and bounces straight back at 11 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.25 kgvin = 28 m/svout = 11 m/sΔt = 40 ms
J = N·s

Answer key

  1. 1. v′ = 11.32 m/s
  2. 2. v′ = 5.846 m/s
  3. 3. v′1 = −2 m/s
  4. 4. v′2 = 2.909 m/s
  5. 5. θ = 22.31 °
  6. 6. J = 9.75 N·s

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