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
5 kgv = 1 m/sk = 200 N/m

A 5 kg block slides at 1 m/s on a smooth horizontal surface into a spring of stiffness 200 N/m. Find the maximum compression x of the spring, in cm.

m = 5 kgv = 1 m/sk = 200 N/m
x = cm
2.Easy
m = 1 kggh = 45 m

A 1 kg ball is dropped from rest from a height of 45 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 1 kgh = 45 mg = 9.81 m/s²
v = m/s
3.Medium
45°d = 14 mμ = 0.1

A 1 kg block slides 14 m down a slope at 45° to the horizontal, with a coefficient of kinetic friction of 0.1. Find the work Wf done against friction.

m = 1 kgθ = 45°μ = 0.1d = 14 mg = 9.81 m/s²
Wf = J
4.Medium
30 km/h

A car travelling at 30 km/h on a level road brakes hard and skids to a stop with its wheels locked. The coefficient of kinetic friction between the tyres and the road is 0.4. Find the stopping distance d.

v = 30 km/hμ = 0.4g = 9.81 m/s²
d = m
5.Hard
h = 5 mL = 4 mμ = 0.15k = 500 N/m

A 0.5 kg block is released from rest at height 5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4 m long (μ = 0.15) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 0.5 kgh = 5 mL = 4 mμ = 0.15k = 500 N/mg = 9.81 m/s²
x = cm
6.Hard
3 kg4 kgμ = 0.2d = 2 m

A 3 kg block rests on a rough horizontal table (μ = 0.2). A light string runs from it over a smooth pulley at the edge of the table to a hanging 4 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 2 m.

m1 = 3 kgm2 = 4 kgμ = 0.2d = 2 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. x = 15.81 cm
  2. 2. v = 29.71 m/s
  3. 3. Wf = 9.711 J
  4. 4. d = 8.849 m
  5. 5. x = 29.38 cm
  6. 6. v = 4.366 m/s

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