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 kggh = 36 m

A 2 kg ball is dropped from rest from a height of 36 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2 kgh = 36 mg = 9.81 m/s²
Ek = J
2.Easy
F = 80 N25°d = 8 m

A crate is pulled 8 m along a level floor by a rope that makes 25° with the horizontal. The tension in the rope is 80 N. Find the work W done by the rope on the crate.

F = 80 Nd = 8 mθ = 25°
W = J
3.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
4.Medium
45°d = 18 mμ = 0.15

A block slides from rest down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.15. Find its speed v after it has slid 18 m along the slope.

θ = 45°μ = 0.15d = 18 mg = 9.81 m/s²
v = m/s
5.Hard
h = 4 mL = 4.5 mμ = 0.3k = 500 N/m

A 2 kg block is released from rest at height 4 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4.5 m long (μ = 0.3) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 4 mL = 4.5 mμ = 0.3k = 500 N/mg = 9.81 m/s²
x = cm
6.Hard
F = 40 N30°μ = 0.25 kg

A 5 kg block starts from rest at the bottom of a 30° slope and is pulled up the slope by a constant force of 40 N parallel to the slope. The coefficient of kinetic friction is 0.2. Find the speed v of the block after it has moved 6 m up the slope.

m = 5 kgF = 40 Nθ = 30°μ = 0.2d = 6 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 706.3 J
  2. 2. W = 580 J
  3. 3. d = 80.9 m
  4. 4. v = 14.57 m/s
  5. 5. x = 45.6 cm
  6. 6. v = 4.093 m/s

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