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

m = 4 kgh = 2 mg = 9.81 m/s²

E_k = J

2.Easy

A 5 kg ball is dropped from rest from a height of 25 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 5 kgh = 25 mg = 9.81 m/s²

E_k = J

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 1500 kg car drives up a 2° slope at a constant 54 km/h. Air resistance and rolling resistance together amount to 600 N. Find the power P the wheels must deliver, in kW.

m = 1500 kgθ = 2°F_r = 600 Nv = 54 km/hg = 9.81 m/s²

P = kW

5.Hard

A 1 kg cart is released from rest at a height of 5.6 m on a smooth track that leads into a vertical circular loop of radius 2 m. Find the speed v of the cart at the top of the loop.

m = 1 kgh = 5.6 mR = 2 mg = 9.81 m/s²

v = m/s

6.Hard

A 2 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3 m long (μ = 0.1) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 3 mL = 3 mμ = 0.1k = 4000 N/mg = 9.81 m/s²

x = cm

Answer key

1. E_k = 78.48 J
2. E_k = 1226 J
3. d = 113.3 m
4. P = 16.7 kW
5. v = 5.603 m/s
6. x = 16.27 cm

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