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 = 2 m

A 0.5 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 = 0.5 kgh = 2 mg = 9.81 m/s²
Ek = J
2.Easy
m = 4 kggh = 38 m

A 4 kg ball is dropped from rest from a height of 38 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 4 kgh = 38 mg = 9.81 m/s²
v = m/s
3.Medium
25°d = 8 mμ = 0.3

A 0.5 kg block slides 8 m down a slope at 25° to the horizontal, with a coefficient of kinetic friction of 0.3. Find the work Wf done against friction.

m = 0.5 kgθ = 25°μ = 0.3d = 8 mg = 9.81 m/s²
Wf = J
4.Medium
30°d = 16 mμ = 0.25

A 1 kg block slides 16 m down a slope at 30° to the horizontal, with a coefficient of kinetic friction of 0.25. Find the work Wf done against friction.

m = 1 kgθ = 30°μ = 0.25d = 16 mg = 9.81 m/s²
Wf = J
5.Hard
h = 2 mL = 1.5 mμ = 0.15k = 2000 N/m

A 2.5 kg block is released from rest at height 2 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.15) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2.5 kgh = 2 mL = 1.5 mμ = 0.15k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 2 mL = 2.5 mμ = 0.15k = 1500 N/m

A 0.5 kg block is released from rest at height 2 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2.5 m long (μ = 0.15) and then runs onto a spring (k = 1500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 0.5 kgh = 2 mL = 2.5 mμ = 0.15k = 1500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. Ek = 9.81 J
  2. 2. v = 27.3 m/s
  3. 3. Wf = 10.67 J
  4. 4. Wf = 33.98 J
  5. 5. x = 20.86 cm
  6. 6. x = 10.31 cm

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