Work & energy worksheet with answers

Free printable Work & energy 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
m = 0.5 kggh = 17 m

A 0.5 kg ball is dropped from rest from a height of 17 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 0.5 kgh = 17 mg = 9.81 m/s²
Ek = J
2.Easy
F = 140 N60°d = 12 m

A crate is pulled 12 m along a level floor by a rope that makes 60° with the horizontal. The tension in the rope is 140 N. Find the work W done by the rope on the crate.

F = 140 Nd = 12 mθ = 60°
W = J
3.Medium
35°d = 14 mμ = 0.2

A block slides from rest down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.2. Find its speed v after it has slid 14 m along the slope.

θ = 35°μ = 0.2d = 14 mg = 9.81 m/s²
v = m/s
4.Medium
30°d = 13 mμ = 0.3

A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.3. Find its speed v after it has slid 13 m along the slope.

θ = 30°μ = 0.3d = 13 mg = 9.81 m/s²
v = m/s
5.Hard
F = 155 N35°μ = 0.120 kg

A 20 kg block starts from rest at the bottom of a 35° slope and is pulled up the slope by a constant force of 155 N parallel to the slope. The coefficient of kinetic friction is 0.1. Find the speed v of the block after it has moved 5 m up the slope.

m = 20 kgF = 155 Nθ = 35°μ = 0.1d = 5 mg = 9.81 m/s²
v = m/s
6.Hard
k = 3000 N/m25°μ = 0.13 kg

A spring of stiffness 3000 N/m at the bottom of a 25° slope is compressed by 10 cm against a 3 kg block and released. The coefficient of kinetic friction between block and slope is 0.1. How far d up the slope does the block travel from the release point before it stops? (Ignore the short distance over which the spring pushes, i.e. take friction and gravity over the whole distance d.)

m = 3 kgk = 3000 N/mx = 10 cmθ = 25°μ = 0.1g = 9.81 m/s²
d = m

Answer key

  1. 1. Ek = 83.39 J
  2. 2. W = 840 J
  3. 3. v = 10.61 m/s
  4. 4. v = 7.827 m/s
  5. 5. v = 3.633 m/s
  6. 6. d = 0.9931 m

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