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Forces - OCR 21st CenturyCalculating weight

Forces arise from the interactions of two objects. They can be divided into two categories - contact forces and non-contact forces.

Part of Physics (Single Science)Explaining motion

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.

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