The solar system - CCEACalculating weight

The solar system consists of the Sun surrounded by planets, comets and asteroids in orbit. Most planets in the solar system have moons in orbit around them.

Part ofCombined ScienceEarth in space

Calculating weight

On the Earth’s surface the weight of a mass of 1 kg is 10 N.

We say that the strength of gravity is 10 N/kg or on Earth, gravity = 10 N/kg.

Weight is calculated using the equation:

A formula triangle showing Weight is equal to Mass multiplied by Time.

Weight = mass x gravity

W = mg

W = weight in N

m = mass in kg

g = gravity in N/kg

On the Earths’ surface g = 10 N/kg

W = mgW = m x g
m = \(\frac{\text{W}}{\text{g}}\)m = W ÷ g
g = \(\frac{\text{W}}{\text{m}}\)g = W ÷ m
W = mg
W = m x g
m = \(\frac{\text{W}}{\text{g}}\)
m = W ÷ g
g = \(\frac{\text{W}}{\text{m}}\)
g = W ÷ m

Example

Find the weight of a person on Earth if they have a of 65 kg (g = 10 N/kg)

Answer

W = mg

m = 65 kg

g = 10 N/kg

W = 65 x 10

W = 650 N

The weight of the person is 650 N.

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