levo

Mechanics and Materials

Work, energy and power

  • 5 things to know
  • Papers 1 and 3

Overview

Work done by a force at an angle, power, efficiency, and the area under a force-displacement graph.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What does W = Fs cos θ describe, and why is the cosine term needed?

Numbers

What is power, and how is it calculated from work and time?

Numbers

How is power found from force and velocity, and why can W = Fs fail?

Numbers

How is work found from a force-displacement graph?

Numbers

How is efficiency calculated, and in what forms can it be expressed?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    In the equation W = Fs cos θ, what does W represent?

    Model answer

    W represents the work done, which is the energy transferred.

  2. 2

    Why is the cos θ term included in the work equation W = Fs cos θ?

    Model answer

    The cos θ term accounts for the component of the force acting in the direction of motion.

  3. 3

    Calculate the work done when force = 53 N, displacement = 35.4 m, angle = 5 degrees.

    Model answer

    Work done = 53 × 35.4 × cos 5° = 1870 J.

  4. 4

    When a force acts parallel to the displacement, what is the value of θ and what does the work equation simplify to?

    Model answer

    θ = 0°, cos θ = 1, so the equation simplifies to W = Fs.

  5. 5

    Why is no work done when a force acts perpendicular to the displacement?

    Model answer

    When θ = 90°, cos θ = 0, so W = Fs × 0 = 0. There is no component of force in the direction of motion.

  6. 6

    Define power.

    Model answer

    Power is the rate of doing work, or equivalently, the rate of energy transfer.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Measurements and Their Errors
Particles and Radiation
Waves
Mechanics and Materials

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

Q is .
positivenegativezero

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AP = 4πr²σT⁴.
BThe surface area of a spherical star is 4πr².
CP₁/P₂ = (r₁²/r₂²) × (T₁⁴/T₂⁴).

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Speed means rate of change of distance.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Mechanics and Materials, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.