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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

A crate is pulled 7 m along a level floor by a rope that makes 35° with the horizontal. The tension in the rope is 20 N. Find the work W done by the rope on the crate.

F = 20 Nd = 7 mθ = 35°

W = J

2.Easy

A 10 kg ball is dropped from rest from a height of 8 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 10 kgh = 8 mg = 9.81 m/s²

v = m/s

3.Medium

A 1 kg block slides 20 m down a slope at 20° to the horizontal, with a coefficient of kinetic friction of 0.25. Find the work W_f done against friction.

m = 1 kgθ = 20°μ = 0.25d = 20 mg = 9.81 m/s²

W_f = J

4.Medium

A 5 kg block slides 12 m down a slope at 25° to the horizontal, with a coefficient of kinetic friction of 0.1. Find the work W_f done against friction.

m = 5 kgθ = 25°μ = 0.1d = 12 mg = 9.81 m/s²

W_f = J

5.Hard

A 1 kg cart is released from rest at a height of 15 m on a smooth track that leads into a vertical circular loop of radius 5 m. Find the speed v of the cart at the top of the loop.

m = 1 kgh = 15 mR = 5 mg = 9.81 m/s²

v = m/s

6.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 5 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 = 1 mL = 5 mμ = 0.1k = 4000 N/mg = 9.81 m/s²

x = cm

Answer key

1. W = 114.7 J
2. v = 12.53 m/s
3. W_f = 46.09 J
4. W_f = 53.35 J
5. v = 9.905 m/s
6. x = 7.004 cm

Full step-by-step solutions: practise this topic on examproblems.com.