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 = 30 m

A 4 kg ball is dropped from rest from a height of 30 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 4 kgh = 30 mg = 9.81 m/s²
v = m/s
2.Easy
5 kgv = 2 m/sk = 1000 N/m

A 5 kg block slides at 2 m/s on a smooth horizontal surface into a spring of stiffness 1000 N/m. Find the maximum compression x of the spring, in cm.

m = 5 kgv = 2 m/sk = 1000 N/m
x = cm
3.Medium
70 km/h

A car travelling at 70 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 = 70 km/hμ = 0.4g = 9.81 m/s²
d = m
4.Medium
30°d = 5 mμ = 0.2

A 2 kg block slides 5 m down a slope at 30° to the horizontal, with a coefficient of kinetic friction of 0.2. Find the work Wf done against friction.

m = 2 kgθ = 30°μ = 0.2d = 5 mg = 9.81 m/s²
Wf = J
5.Hard
h = 4.5 mL = 5 mμ = 0.15k = 2000 N/m

A 2.5 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 5 m long (μ = 0.15) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 2.5 kgh = 4.5 mL = 5 mμ = 0.15k = 2000 N/mg = 9.81 m/s²
v = m/s
6.Hard
h = 4.5 mL = 1.5 mμ = 0.15k = 500 N/m

A 4 kg block is released from rest at height 4.5 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 = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 4 kgh = 4.5 mL = 1.5 mμ = 0.15k = 500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 24.26 m/s
  2. 2. x = 14.14 cm
  3. 3. d = 48.18 m
  4. 4. Wf = 16.99 J
  5. 5. v = 8.578 m/s
  6. 6. x = 81.91 cm

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