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 = 2.5 kggh = 23 m

A 2.5 kg ball is dropped from rest from a height of 23 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2.5 kgh = 23 mg = 9.81 m/s²
Ek = J
2.Easy
m = 4 kggh = 26 m

A 4 kg ball is dropped from rest from a height of 26 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 4 kgh = 26 mg = 9.81 m/s²
Ek = J
3.Medium
40°d = 2 mμ = 0.4

A block slides from rest down a slope at 40° to the horizontal. The coefficient of kinetic friction is 0.4. Find its speed v after it has slid 2 m along the slope.

θ = 40°μ = 0.4d = 2 mg = 9.81 m/s²
v = m/s
4.Medium
35°d = 4 mμ = 0.35

A block slides from rest down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.35. Find its speed v after it has slid 4 m along the slope.

θ = 35°μ = 0.35d = 4 mg = 9.81 m/s²
v = m/s
5.Hard
F = 20 N25°μ = 0.12 kg

A 2 kg block starts from rest at the bottom of a 25° slope and is pulled up the slope by a constant force of 20 N parallel to the slope. The coefficient of kinetic friction is 0.1. Find the speed v of the block after it has moved 3 m up the slope.

m = 2 kgF = 20 Nθ = 25°μ = 0.1d = 3 mg = 9.81 m/s²
v = m/s
6.Hard
4 kg6 kgμ = 0.25d = 2.5 m

A 4 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 6 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 = 4 kgm2 = 6 kgμ = 0.25d = 2.5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 564.1 J
  2. 2. Ek = 1020 J
  3. 3. v = 3.633 m/s
  4. 4. v = 4.745 m/s
  5. 5. v = 5.458 m/s
  6. 6. v = 4.952 m/s

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