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 45 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 4 kgh = 45 mg = 9.81 m/s²

E_k = J

2.Easy

A 1 kg ball is dropped from rest from a height of 27 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 1 kgh = 27 mg = 9.81 m/s²

E_k = J

3.Medium

A block slides from rest down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.1. Find its speed v after it has slid 6 m along the slope.

θ = 35°μ = 0.1d = 6 mg = 9.81 m/s²

v = m/s

4.Medium

A block slides from rest down a slope at 25° to the horizontal. The coefficient of kinetic friction is 0.3. Find its speed v after it has slid 4 m along the slope.

θ = 25°μ = 0.3d = 4 mg = 9.81 m/s²

v = m/s

5.Hard

A 5 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4 m long (μ = 0.15) and then runs onto a spring (k = 800 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 5 kgh = 3 mL = 4 mμ = 0.15k = 800 N/mg = 9.81 m/s²

x = cm

6.Hard

A 5 kg cart is released from rest at a height of 8 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 = 5 kgh = 8 mR = 2 mg = 9.81 m/s²

v = m/s

Answer key

1. E_k = 1766 J
2. E_k = 264.9 J
3. v = 7.608 m/s
4. v = 3.439 m/s
5. x = 54.25 cm
6. v = 8.859 m/s

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