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Gravitational Field

A gravitational field as a region in which an object experiences a force due to gravitational attraction.
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Gravitational Field Strength

- The gravitational field strength at a point in the gravitational field is the gravitational force acting on a mass of 1 kg placed at that point.
- The unit of gravitational field strength is N/kg.
- The gravitational field strength is denoted by the symbol "g".
$$g=\frac{F}{m}$$g = Gravitational Field Strength

F = Force acted on an object

m = mass of the object.

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Gravitational Acceleration

- The gravitational acceleration is the acceleration of an object due to the pull of the gravitational force.
- The unit of gravitational acceleration is ms
^{-2}
- Gravitational acceleratio is also denoted by the symbol "g".

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Important notes:

- Gravitational acceleration does not depend on the mass of the moving object.
- The magnitude of gravitational acceleration is taken to be 10ms-2.

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Gravitational Field Strength vs. Gravitational Acceleration

- Both the gravitational field strength and gravitational acceleration have the symbol, g and the same value (10ms-2) on the surface of the earth.
- When considering a body falling freely, the g is the gravitational acceleration.
- When considering objects at rest, g is the Earth’s gravitational field strength acting on it.

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Weight

- The weight of an object is defined as the gravitational force acting on the object.
- The SI unit of weight is Newton (N)

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Differences between Weight and Mass

**Weight** | **Mass** |

Depends on the gravitational field strength | Independent from the gravitational field strength |

Vector quantity | Scalar Quantity |

Unit Newton (N) | Unit: Kilogram (kg) |