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 kg10 m/s800 kg

A 1700 kg car moving at 10 m/s runs into a stationary 800 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 = 10 m/sm2 = 800 kgv2 = 0 m/s
v′ = m/s
2.Easy
1000 kg18 m/s1000 kg

A 1000 kg car moving at 18 m/s runs into a stationary 1000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1000 kgv1 = 18 m/sm2 = 1000 kgv2 = 0 m/s
v′ = m/s
3.Medium
5 kg6 m/s1.5 kg

A 5 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 1.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 5 kgm2 = 1.5 kgv1 = 6 m/sv2 = 0
v′2 = m/s
4.Medium
1300 kg17 m/s1300 kg

A 1300 kg car moving at 17 m/s runs into a stationary 1300 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1300 kgv1 = 17 m/sm2 = 1300 kgv2 = 0
ΔK = J
5.Hard
27 m/s18 m/s

A 0.6 kg ball hits a wall at 27 m/s and bounces straight back at 18 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 27 m/svout = 18 m/sΔt = 50 ms
Favg = N
6.Hard
1100 kg17 m/s1100 kg16 m/sv′ = ?

At a crossing a 1100 kg car travelling east at 17 m/s collides with a 1100 kg car travelling north at 16 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1100 kgv1 = 17 m/s (E)m2 = 1100 kgv2 = 16 m/s (N)
v′ = m/s

Answer key

  1. 1. v′ = 6.8 m/s
  2. 2. v′ = 9 m/s
  3. 3. v′2 = 9.231 m/s
  4. 4. ΔK = 93925 J
  5. 5. Favg = 540 N
  6. 6. v′ = 11.67 m/s

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