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 = 2 kggh = 2 m

A 2 kg ball is dropped from rest from a height of 2 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2 kgh = 2 mg = 9.81 m/s²
Ek = J
2.Easy
m = 2.5 kggh = 10 m

A 2.5 kg ball is dropped from rest from a height of 10 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 10 mg = 9.81 m/s²
v = m/s
3.Medium
30°d = 14 mμ = 0.1

A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.1. Find its speed v after it has slid 14 m along the slope.

θ = 30°μ = 0.1d = 14 mg = 9.81 m/s²
v = m/s
4.Medium
45°d = 19 mμ = 0.4

A 2.5 kg block slides 19 m down a slope at 45° to the horizontal, with a coefficient of kinetic friction of 0.4. Find the work Wf done against friction.

m = 2.5 kgθ = 45°μ = 0.4d = 19 mg = 9.81 m/s²
Wf = J
5.Hard
3 kg5 kgμ = 0.25d = 1.5 m

A 3 kg block rests on a rough horizontal table (μ = 0.25). A light string runs from it over a smooth pulley at the edge of the table to a hanging 5 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 1.5 m.

m1 = 3 kgm2 = 5 kgμ = 0.25d = 1.5 mg = 9.81 m/s²
v = m/s
6.Hard
2 kg5 kgμ = 0.25d = 2.5 m

A 2 kg block rests on a rough horizontal table (μ = 0.25). A light string runs from it over a smooth pulley at the edge of the table to a hanging 5 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 2.5 m.

m1 = 2 kgm2 = 5 kgμ = 0.25d = 2.5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 39.24 J
  2. 2. v = 14.01 m/s
  3. 3. v = 10.66 m/s
  4. 4. Wf = 131.8 J
  5. 5. v = 3.954 m/s
  6. 6. v = 5.615 m/s

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