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
1800 kg24 m/s1500 kg15 m/s

A 1800 kg car moving at 24 m/s collides head-on with a 1500 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 = 1800 kgv1 = 24 m/sm2 = 1500 kgv2 = −15 m/s
v′ = m/s
2.Easy
1700 kg11 m/s600 kg

A 1700 kg car moving at 11 m/s runs into a stationary 600 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 = 600 kgv2 = 0 m/s
v′ = m/s
3.Medium
800 kg21 m/s1700 kg

An 800 kg car moving at 21 m/s runs into a stationary 1700 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 800 kgv1 = 21 m/sm2 = 1700 kgv2 = 0
ΔK/K = %
4.Medium
0.5 kg2 m/s1 kg

A 0.5 kg glider moving at 2 m/s makes a perfectly elastic head-on collision with a 1 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 = 0.5 kgm2 = 1 kgv1 = 2 m/sv2 = 0
v′1 = m/s
5.Hard
1.5 kgv = ?5 g40°L = 2 m

A 5 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 2 m long, and stays in it. The strings swing out to a largest angle of 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 1.5 kgL = 2 mθ = 40°g = 9.81 m/s²
v = m/s
6.Hard
1900 kg22 m/s1800 kg23 m/sθ = ?

At a crossing a 1900 kg car travelling east at 22 m/s collides with a 1800 kg car travelling north at 23 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1900 kgv1 = 22 m/s (E)m2 = 1800 kgv2 = 23 m/s (N)
θ = °

Answer key

  1. 1. v′ = 6.273 m/s
  2. 2. v′ = 8.13 m/s
  3. 3. ΔK/K = 68 %
  4. 4. v′1 = −0.6667 m/s
  5. 5. v = 912 m/s
  6. 6. θ = 44.72 °

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