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 2 kg ball is dropped from rest from a height of 33 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 2 kgh = 33 mg = 9.81 m/s²

E_k = J

2.Easy

A 2.5 kg ball is dropped from rest from a height of 8 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 2.5 kgh = 8 mg = 9.81 m/s²

E_k = J

3.Medium

A 5 kg block slides 7 m down a slope at 20° to the horizontal, with a coefficient of kinetic friction of 0.2. Find the work W_f done against friction.

m = 5 kgθ = 20°μ = 0.2d = 7 mg = 9.81 m/s²

W_f = J

4.Medium

A car travelling at 30 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 0.6. Find the stopping distance d.

v = 30 km/hμ = 0.6g = 9.81 m/s²

d = m

5.Hard

A 2 kg block is released from rest at height 2.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.1) and then runs onto a spring (k = 800 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 2.5 mL = 3.5 mμ = 0.1k = 800 N/mg = 9.81 m/s²

x = cm

6.Hard

A 5 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 normal force N the track exerts on the cart at the top of the loop.

m = 5 kgh = 4 mR = 1 mg = 9.81 m/s²

N = N

Answer key

1. E_k = 647.5 J
2. E_k = 196.2 J
3. W_f = 64.53 J
4. d = 5.899 m
5. x = 32.47 cm
6. N = 147.2 N

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