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 kg5 m/s1000 kg15 m/s

A 1900 kg car moving at 5 m/s collides head-on with a 1000 kg car moving at 15 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 = 5 m/sm2 = 1000 kgv2 = −15 m/s
v′ = m/s
2.Easy
1300 kg19 m/s1300 kg

A 1300 kg car moving at 19 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1300 kgv1 = 19 m/sm2 = 1300 kgv2 = 0 m/s
v′ = m/s
3.Medium
600 kg25 m/s1900 kg

A 600 kg car moving at 25 m/s runs into a stationary 1900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 600 kgv1 = 25 m/sm2 = 1900 kgv2 = 0
ΔK = J
4.Medium
0.5 kg3 m/s2.5 kg

A 0.5 kg glider moving at 3 m/s makes a perfectly elastic head-on collision with a 2.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 0.5 kgm2 = 2.5 kgv1 = 3 m/sv2 = 0
v′2 = m/s
5.Hard
1800 kg19 m/s800 kg9 m/sv′ = ?

At a crossing a 1800 kg car travelling east at 19 m/s collides with an 800 kg car travelling north at 9 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1800 kgv1 = 19 m/s (E)m2 = 800 kgv2 = 9 m/s (N)
v′ = m/s
6.Hard
11 m/s12 m/s

A 0.4 kg ball hits a wall at 11 m/s and bounces straight back at 12 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.4 kgvin = 11 m/svout = 12 m/sΔt = 50 ms
J = N·s

Answer key

  1. 1. v′ = −1.897 m/s
  2. 2. v′ = 9.5 m/s
  3. 3. ΔK = 142500 J
  4. 4. v′2 = 1 m/s
  5. 5. v′ = 13.44 m/s
  6. 6. J = 9.2 N·s

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