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Getting started: using equations and units

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GCSE Physics papers are full of calculations. Most marks come from a clear routine: write the equation, convert units, substitute, calculate, add the unit.

Quantities and units

Every physical quantity has a unit. Use the standard (SI) units in equations.

Convert, then substitute

Convert before you substitute:
g to kg: ÷ 1000. km to m: × 1000.
minutes to s: × 60. hours to s: × 3600.
Then: write the equation, put in the numbers, calculate, and give the unit.

Rearranging

If a = b × c, then b = a ÷ c and c = a ÷ b.
Example: distance = speed × time, so time = distance ÷ speed and speed = distance ÷ time.
Round your final answer sensibly, usually to the same number of significant figures as the data (often 2 or 3).
Worked example

A cyclist travels at 6 m/s for 5 minutes. How far does she travel?

  1. Convert: 5 minutes = 5 × 60 = 300 s
  2. distance = speed × time = 6 × 300

Answer: 1800 m

Key idea

Convert to SI units, write the equation, substitute, calculate, give the unit. If a = b × c, then b = a ÷ c.

The interactive lesson includes the diagrams for this topic.

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