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
900 kg5 m/s1800 kg12 m/s

A 900 kg car moving at 5 m/s collides head-on with a 1800 kg car moving at 12 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 = 900 kgv1 = 5 m/sm2 = 1800 kgv2 = −12 m/s
v′ = m/s
2.Easy
5.5 kg700 m/sV = ?

A 5.5 kg rifle, free to move, fires a 4 g bullet at 700 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 5.5 kgm = 4 gv = 700 m/s
V = m/s
3.Medium
1200 kg7 m/s800 kg

A 1200 kg car moving at 7 m/s runs into a stationary 800 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1200 kgv1 = 7 m/sm2 = 800 kgv2 = 0
ΔK/K = %
4.Medium
2.5 kg3 m/s0.5 kg

A 2.5 kg glider moving at 3 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′1 of the first glider after the collision (positive in its original direction).

m1 = 2.5 kgm2 = 0.5 kgv1 = 3 m/sv2 = 0
v′1 = m/s
5.Hard
1400 kg10 m/s1900 kg24 m/sv′ = ?

At a crossing a 1400 kg car travelling east at 10 m/s collides with a 1900 kg car travelling north at 24 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1400 kgv1 = 10 m/s (E)m2 = 1900 kgv2 = 24 m/s (N)
v′ = m/s
6.Hard
2 kgv = ?15 g25°L = 1.7 m

A 15 g bullet is fired horizontally into a 2 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 25° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 15 gM = 2 kgL = 1.7 mθ = 25°g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v′ = −6.333 m/s
  2. 2. V = 0.5091 m/s
  3. 3. ΔK/K = 40 %
  4. 4. v′1 = 2 m/s
  5. 5. v′ = 14.45 m/s
  6. 6. v = 237.5 m/s

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