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
2000 kg6 m/s2000 kg5 m/s

A 2000 kg car moving at 6 m/s collides head-on with a 2000 kg car moving at 5 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 = 2000 kgv1 = 6 m/sm2 = 2000 kgv2 = −5 m/s
v′ = m/s
2.Easy
1500 kg22 m/s500 kg

A 1500 kg car moving at 22 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1500 kgv1 = 22 m/sm2 = 500 kgv2 = 0 m/s
v′ = m/s
3.Medium
5 kgv = ?8 gh = 5 cm

An 8 g bullet is fired horizontally into a 5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 5 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 8 gM = 5 kgh = 5 cmg = 9.81 m/s²
v = m/s
4.Medium
1900 kg20 m/s1600 kg

A 1900 kg car moving at 20 m/s runs into a stationary 1600 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1900 kgv1 = 20 m/sm2 = 1600 kgv2 = 0
ΔK = J
5.Hard
14 m/s15 m/s

A 0.2 kg ball hits a wall at 14 m/s and bounces straight back at 15 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.2 kgvin = 14 m/svout = 15 m/sΔt = 20 ms
Favg = N
6.Hard
800 kg25 m/s1200 kg22 m/sθ = ?

At a crossing an 800 kg car travelling east at 25 m/s collides with a 1200 kg car travelling north at 22 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 800 kgv1 = 25 m/s (E)m2 = 1200 kgv2 = 22 m/s (N)
θ = °

Answer key

  1. 1. v′ = 0.5 m/s
  2. 2. v′ = 16.5 m/s
  3. 3. v = 620 m/s
  4. 4. ΔK = 173714 J
  5. 5. Favg = 290 N
  6. 6. θ = 52.85 °

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