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
3 kg9.5 m/s1.5 kg

A 3 kg trolley moving at 9.5 m/s runs into a 1.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 4 m/s. Find the velocity v′2 of the second trolley.

m1 = 3 kgv1 = 9.5 m/sm2 = 1.5 kgv′1 = 4 m/s
v′2 = m/s
2.Easy
5 kg750 m/sV = ?

A 5 kg rifle, free to move, fires a 12 g bullet at 750 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 5 kgm = 12 gv = 750 m/s
V = m/s
3.Medium
800 kg12 m/s1200 kg

An 800 kg car moving at 12 m/s runs into a stationary 1200 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 800 kgv1 = 12 m/sm2 = 1200 kgv2 = 0
ΔK = J
4.Medium
1.5 kg7 m/s5 kg

A 1.5 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 1.5 kgm2 = 5 kgv1 = 7 m/sv2 = 0
v′2 = m/s
5.Hard
1900 kg13 m/s1600 kg13 m/sθ = ?

At a crossing a 1900 kg car travelling east at 13 m/s collides with a 1600 kg car travelling north at 13 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1900 kgv1 = 13 m/s (E)m2 = 1600 kgv2 = 13 m/s (N)
θ = °
6.Hard
12 m/s16 m/s

A 0.6 kg ball hits a wall at 12 m/s and bounces straight back at 16 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 12 m/svout = 16 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′2 = 11 m/s
  2. 2. V = 1.8 m/s
  3. 3. ΔK = 34560 J
  4. 4. v′2 = 3.231 m/s
  5. 5. θ = 40.1 °
  6. 6. Favg = 1680 N

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