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 worksheetPractise 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
m = 2 kggh = 29 m

A 2 kg ball is dropped from rest from a height of 29 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2 kgh = 29 mg = 9.81 m/s²
v = m/s
2.Easy
F = 150 N60°d = 7 m

A crate is pulled 7 m along a level floor by a rope that makes 60° with the horizontal. The tension in the rope is 150 N. Find the work W done by the rope on the crate.

F = 150 Nd = 7 mθ = 60°
W = J
3.Medium
35°d = 3 mμ = 0.3

A 4 kg block slides 3 m down a slope at 35° to the horizontal, with a coefficient of kinetic friction of 0.3. Find the work Wf done against friction.

m = 4 kgθ = 35°μ = 0.3d = 3 mg = 9.81 m/s²
Wf = J
4.Medium
45°d = 4 mμ = 0.4

A block slides from rest down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.4. Find its speed v after it has slid 4 m along the slope.

θ = 45°μ = 0.4d = 4 mg = 9.81 m/s²
v = m/s
5.Hard
h = 3.5 mL = 2.5 mμ = 0.2k = 2000 N/m

A 1 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2.5 m long (μ = 0.2) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 1 kgh = 3.5 mL = 2.5 mμ = 0.2k = 2000 N/mg = 9.81 m/s²
v = m/s
6.Hard
h = 4 mL = 3 mμ = 0.2k = 2000 N/m

A 5 kg block is released from rest at height 4 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3 m long (μ = 0.2) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 5 kgh = 4 mL = 3 mμ = 0.2k = 2000 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 23.85 m/s
  2. 2. W = 525 J
  3. 3. Wf = 28.93 J
  4. 4. v = 5.77 m/s
  5. 5. v = 7.672 m/s
  6. 6. x = 40.84 cm

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