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Calculating weight

The of an object is defined as the force of gravity acting on the object. It may be thought of as acting at a single point called its centre of . Depending on the object's shape, its centre of mass can be inside or outside it.

The weight of an object and its mass are directly proportional. For a given gravitational field strength, the greater the mass of the object, the greater its weight.

This is when:

  • weight (W) is measured in newtons (N)
  • mass (m) is measured in kilograms (kg)
  • gravitational field strength (g) is measured in newtons per kilogram (N/kg) On Earth, g = 10 N/kg (approximately)

Weight can be measured using a spring-balance (newtonmeter) or a top-pan balance.

Example

An apple has a mass of 100 g. Calculate its weight on Earth.

\(100~g = \frac{100}{1,000} = 0.1~kg\)

\(W = m~g\)

\(W = 0.1 \times 10\)

\(W = 1.0~N\)

Question

Calculate the weight of a 30 kg dog.