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 45 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 0.5 kgh = 45 mg = 9.81 m/s²

v = m/s

2.Easy

A 2.5 kg ball is dropped from rest from a height of 12 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 12 mg = 9.81 m/s²

v = m/s

3.Medium

A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.2. Find its speed v after it has slid 3 m along the slope.

θ = 30°μ = 0.2d = 3 mg = 9.81 m/s²

v = m/s

4.Medium

A 4 kg block slides 14 m down a slope at 35° to the horizontal, with a coefficient of kinetic friction of 0.1. Find the work W_f done against friction.

m = 4 kgθ = 35°μ = 0.1d = 14 mg = 9.81 m/s²

W_f = J

5.Hard

A 2 kg cart is released from rest at a height of 12 m on a smooth track that leads into a vertical circular loop of radius 3 m. Find the speed v of the cart at the top of the loop.

m = 2 kgh = 12 mR = 3 mg = 9.81 m/s²

v = m/s

6.Hard

A 2 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.3) and then runs onto a spring (k = 1500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 3.5 mL = 3.5 mμ = 0.3k = 1500 N/mg = 9.81 m/s²

x = cm

Answer key

1. v = 29.71 m/s
2. v = 15.34 m/s
3. v = 4.386 m/s
4. W_f = 45 J
5. v = 10.85 m/s
6. x = 25.32 cm

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