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
F = 170 N15°d = 9 m

A crate is pulled 9 m along a level floor by a rope that makes 15° with the horizontal. The tension in the rope is 170 N. Find the work W done by the rope on the crate.

F = 170 Nd = 9 mθ = 15°
W = J
2.Easy
m = 2.5 kggh = 37 m

A 2.5 kg ball is dropped from rest from a height of 37 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 37 mg = 9.81 m/s²
v = m/s
3.Medium
40°d = 8 mμ = 0.2

A 5 kg block slides 8 m down a slope at 40° to the horizontal, with a coefficient of kinetic friction of 0.2. Find the work Wf done against friction.

m = 5 kgθ = 40°μ = 0.2d = 8 mg = 9.81 m/s²
Wf = J
4.Medium
90 km/h8°2000 kg

A 2000 kg car drives up an 8° slope at a constant 90 km/h. Air resistance and rolling resistance together amount to 700 N. Find the power P the wheels must deliver, in kW.

m = 2000 kgθ = 8°Fr = 700 Nv = 90 km/hg = 9.81 m/s²
P = kW
5.Hard
h = 3.5 mL = 3.5 mμ = 0.1k = 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 3.5 m long (μ = 0.1) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 1 kgh = 3.5 mL = 3.5 mμ = 0.1k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 3 mL = 4 mμ = 0.1k = 2500 N/m

A 1 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 = 0.1) and then runs onto a spring (k = 2500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 1 kgh = 3 mL = 4 mμ = 0.1k = 2500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. W = 1478 J
  2. 2. v = 26.94 m/s
  3. 3. Wf = 60.12 J
  4. 4. P = 85.76 kW
  5. 5. x = 17.58 cm
  6. 6. x = 14.28 cm

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