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
1900 kg20 m/s800 kg3 m/s

A 1900 kg car moving at 20 m/s collides head-on with an 800 kg car moving at 3 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 = 1900 kgv1 = 20 m/sm2 = 800 kgv2 = −3 m/s
v′ = m/s
2.Easy
1700 kg11 m/s900 kg

A 1700 kg car moving at 11 m/s runs into a stationary 900 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1700 kgv1 = 11 m/sm2 = 900 kgv2 = 0 m/s
v′ = m/s
3.Medium
3.5 kg9 m/s4 kg

A 3.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 4 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 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
1 kg4 m/s0.5 kg

A 1 kg glider moving at 4 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 kgm2 = 0.5 kgv1 = 4 m/sv2 = 0
v′2 = m/s
5.Hard
1500 kg25 m/s1200 kg22 m/sv′ = ?

At a crossing a 1500 kg car travelling east at 25 m/s collides with a 1200 kg car travelling north at 22 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1500 kgv1 = 25 m/s (E)m2 = 1200 kgv2 = 22 m/s (N)
v′ = m/s
6.Hard
11 m/s19 m/s

A 0.2 kg ball hits a wall at 11 m/s and bounces straight back at 19 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.2 kgvin = 11 m/svout = 19 m/sΔt = 5 ms
Favg = N

Answer key

  1. 1. v′ = 13.19 m/s
  2. 2. v′ = 7.192 m/s
  3. 3. v′1 = −0.6 m/s
  4. 4. v′2 = 5.333 m/s
  5. 5. v′ = 16.99 m/s
  6. 6. Favg = 1200 N

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