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 0.5 kg ball is dropped from rest from a height of 9 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 0.5 kgh = 9 mg = 9.81 m/s²

E_k = J

2.Easy

A hoist lifts a 50 kg load at constant speed through a height of 28 m in 5 s. Find the average power P it delivers to the load, in kW.

m = 50 kgh = 28 mt = 5 sg = 9.81 m/s²

P = kW

3.Medium

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 0.5. Find the stopping distance d.

v = 120 km/hμ = 0.5g = 9.81 m/s²

d = m

4.Medium

A block slides from rest down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.4. Find its speed v after it has slid 18 m along the slope.

θ = 35°μ = 0.4d = 18 mg = 9.81 m/s²

v = m/s

5.Hard

A 2 kg block is released from rest at height 1 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2 m long (μ = 0.2) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 2 kgh = 1 mL = 2 mμ = 0.2k = 500 N/mg = 9.81 m/s²

v = m/s

6.Hard

A 1 kg cart is released from rest at a height of 4 m on a smooth track that leads into a vertical circular loop of radius 1 m. Find the speed v of the cart at the top of the loop.

m = 1 kgh = 4 mR = 1 mg = 9.81 m/s²

v = m/s

Answer key

1. E_k = 44.15 J
2. P = 2.747 kW
3. d = 113.3 m
4. v = 9.319 m/s
5. v = 3.431 m/s
6. v = 6.264 m/s

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