Efficiency Examples in Physics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Efficiency.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Physics.

Concept Recap

The ratio of useful output energy to total input energy, expressed as a percentage showing how little is wasted.

What fraction of the energy you put in actually goes where you want it to go, rather than being wasted as heat.

Read the full concept explanation β†’

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Efficiency can never exceed 100%β€”you can't get more out than you put in.

Common stuck point: High efficiency doesn't mean low power useβ€”it means less waste.

Worked Examples

Example 1

easy
A machine uses 500 \text{ J} of input energy and produces 350 \text{ J} of useful output. What is its efficiency?

Solution

  1. 1
    Use the efficiency formula: \eta = \frac{\text{useful output}}{\text{total input}} \times 100\%.
  2. 2
    Substitute the given values: \eta = \frac{350}{500} \times 100\%.
  3. 3
    \eta = 70\%

Answer

\eta = 70\%
Efficiency measures how well a machine converts input energy into useful output. No real machine is 100% efficient because some energy is always lost to heat, sound, or friction.

Example 2

medium
An electric motor with 85\% efficiency lifts a 200 \text{ kg} load by 10 \text{ m}. How much electrical energy is consumed? Use g = 10 \text{ m/s}^2.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

medium
A coal power plant burns fuel releasing 1{,}000{,}000 \text{ J} and generates 350{,}000 \text{ J} of electrical energy. What is the efficiency?

Example 2

hard
A car engine has an efficiency of 25\% and a petrol pump has an efficiency of 90\%. The pump delivers 40 \text{ litres} of fuel containing 1.4 \times 10^9 \text{ J} of chemical energy. How much useful kinetic energy does the car ultimately produce from this fuel?

Related Concepts

Background Knowledge

These ideas may be useful before you work through the harder examples.

energywork