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 kg7 m/s1200 kg5 m/s

A 1700 kg car moving at 7 m/s collides head-on with a 1200 kg car moving at 5 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 = 7 m/sm2 = 1200 kgv2 = −5 m/s
v′ = m/s
2.Easy
1100 kg16 m/s1300 kg13 m/s

A 1100 kg car moving at 16 m/s collides head-on with a 1300 kg car moving at 13 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 = 16 m/sm2 = 1300 kgv2 = −13 m/s
v′ = m/s
3.Medium
3.5 kg2 m/s2 kg

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

m1 = 3.5 kgm2 = 2 kgv1 = 2 m/sv2 = 0
v′2 = m/s
4.Medium
1 kg11 m/s2 kg

A 1 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 1 kgm2 = 2 kgv1 = 11 m/sv2 = 0
v′2 = m/s
5.Hard
20 m/s18 m/s

A 0.55 kg ball hits a wall at 20 m/s and bounces straight back at 18 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.55 kgvin = 20 m/svout = 18 m/sΔt = 20 ms
J = N·s
6.Hard
11 m/s10 m/s

A 0.35 kg ball hits a wall at 11 m/s and bounces straight back at 10 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.35 kgvin = 11 m/svout = 10 m/sΔt = 5 ms
J = N·s

Answer key

  1. 1. v′ = 2.034 m/s
  2. 2. v′ = 0.2917 m/s
  3. 3. v′2 = 2.545 m/s
  4. 4. v′2 = 7.333 m/s
  5. 5. J = 20.9 N·s
  6. 6. J = 7.35 N·s

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