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

A crate is pulled 2 m along a level floor by a rope that makes 60° with the horizontal. The tension in the rope is 150 N. Find the work W done by the rope on the crate.

F = 150 Nd = 2 mθ = 60°

W = J

2.Easy

A 10 kg ball is dropped from rest from a height of 22 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 10 kgh = 22 mg = 9.81 m/s²

v = m/s

3.Medium

A car travelling at 80 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 = 80 km/hμ = 0.7g = 9.81 m/s²

d = m

4.Medium

A 10 kg block slides 4 m down a slope at 20° to the horizontal, with a coefficient of kinetic friction of 0.1. Find the work W_f done against friction.

m = 10 kgθ = 20°μ = 0.1d = 4 mg = 9.81 m/s²

W_f = J

5.Hard

A 5 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.2) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 5 kgh = 3.5 mL = 1.5 mμ = 0.2k = 500 N/mg = 9.81 m/s²

x = cm

6.Hard

A 10 kg cart is released from rest at a height of 10 m on a smooth track that leads into a vertical circular loop of radius 2.5 m. Find the speed v of the cart at the top of the loop.

m = 10 kgh = 10 mR = 2.5 mg = 9.81 m/s²

v = m/s

Answer key

1. W = 150 J
2. v = 20.78 m/s
3. d = 35.96 m
4. W_f = 36.87 J
5. x = 79.24 cm
6. v = 9.905 m/s

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