Calculating Power (College Board AP® Physics 1: Algebra-Based): Revision Note

Leander Oates

Written by: Leander Oates

Reviewed by: Caroline Carroll

Updated on

Calculating power

  • Power is defined as:

The rate at which energy changes with respect to time

  • The energy change could be:

    • a transfer of energy into or out of a system

    • a conversion from one energy type to another within a system

  • Average power is the amount of energy being transferred or converted, divided by the time taken for the transfer or conversion to occur

Pavg = Et

  • Where:

    • Pavg = average power, measured in W

    • E = change in energy, measured in J

    • t = change in time, measured in s

  • The unit of power is the watt

    • 1 W = 1 J/s

  • Since work done, W, is equal to the change in energy of an object or a system due to a force, average power can also be calculated using:

Pavg = Wt

Worked Example

A warehouse worker is stacking boxes on a shelf. They lift a box of mass 18 kg to a shelf of height 1.4 m over a time interval of 3 s. Which of the following is the average power output of the worker lifting the box?

A: 48 W

B: 64 W

C: 84 W

D: 86 W

The correct answer is C

Answer:

Step 1: List the known quantities

  • Mass, m = 18 kg

  • Height, y = 1.4 m

  • Change in time, t = 3 s

Step 2: State equation for average power

Pavg = Et

  • The energy transferred to the box is gravitational potential energy, therefore:

Pavg = mgyt

Step 3: Substitute in the known values to calculate

Pavg = 18·10·1.43

Pavg = 84 W

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Leander Oates

Author: Leander Oates

Expertise: Development Editor

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.