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/s900 kg3 m/s

A 1800 kg car moving at 24 m/s collides head-on with a 900 kg car moving at 3 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 = 900 kgv2 = −3 m/s
v′ = m/s
2.Easy
3.5 kg900 m/sV = ?

A 3.5 kg rifle, free to move, fires a 4 g bullet at 900 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 3.5 kgm = 4 gv = 900 m/s
V = m/s
3.Medium
2000 kg24 m/s1600 kg

A 2000 kg car moving at 24 m/s runs into a stationary 1600 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 2000 kgv1 = 24 m/sm2 = 1600 kgv2 = 0
ΔK/K = %
4.Medium
7 kg38 m/s2 kgv′2​ = ?

A 9 kg projectile moving horizontally at 18 m/s explodes into two fragments that move along the same line. The 7 kg fragment continues forwards at 38 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).

M = 9 kgu = 18 m/sm1 = 7 kgv′1 = 38 m/sm2 = 2 kg
v′2 = m/s
5.Hard
27 m/s13 m/s

A 0.4 kg ball hits a wall at 27 m/s and bounces straight back at 13 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.4 kgvin = 27 m/svout = 13 m/sΔt = 5 ms
Favg = N
6.Hard
1900 kg20 m/s1700 kg19 m/sθ = ?

At a crossing a 1900 kg car travelling east at 20 m/s collides with a 1700 kg car travelling north at 19 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1900 kgv1 = 20 m/s (E)m2 = 1700 kgv2 = 19 m/s (N)
θ = °

Answer key

  1. 1. v′ = 15 m/s
  2. 2. V = 1.029 m/s
  3. 3. ΔK/K = 44.44 %
  4. 4. v′2 = −52 m/s
  5. 5. Favg = 3200 N
  6. 6. θ = 40.36 °

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