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 = 4 kggh = 43 m

A 4 kg ball is dropped from rest from a height of 43 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 4 kgh = 43 mg = 9.81 m/s²
v = m/s
2.Easy
m = 0.5 kggh = 31 m

A 0.5 kg ball is dropped from rest from a height of 31 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 0.5 kgh = 31 mg = 9.81 m/s²
v = m/s
3.Medium
25°d = 4 mμ = 0.1

A 1 kg block slides 4 m down a slope at 25° to the horizontal, with a coefficient of kinetic friction of 0.1. Find the work Wf done against friction.

m = 1 kgθ = 25°μ = 0.1d = 4 mg = 9.81 m/s²
Wf = J
4.Medium
120 km/h

A car travelling at 120 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 0.7. Find the stopping distance d.

v = 120 km/hμ = 0.7g = 9.81 m/s²
d = m
5.Hard
h = 2.5 mL = 2.5 mμ = 0.1k = 5000 N/m

A 2.5 kg block is released from rest at height 2.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2.5 m long (μ = 0.1) and then runs onto a spring (k = 5000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2.5 kgh = 2.5 mL = 2.5 mμ = 0.1k = 5000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 5 mL = 4 mμ = 0.15k = 2500 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 = 2500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 0.5 kgh = 5 mL = 4 mμ = 0.15k = 2500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 29.05 m/s
  2. 2. v = 24.66 m/s
  3. 3. Wf = 3.556 J
  4. 4. d = 80.9 m
  5. 5. x = 14.86 cm
  6. 6. x = 13.14 cm

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