# Value of g

The acceleration experienced by a freely falling object due to the gravitational force of the massive body is called acceleration due to gravity and is represented by g measured using SI unit m/s2. The value of g depends on the mass of the massive body and its radius and Value of g value varies from one body to another.

## Acceleration due to gravity on Earth

The acceleration due to gravity on Earth or the value of g on Earth is 9.8 m/s2. Which implies that, on Earth, the velocity of an object under free fall will increase by 9.8 every second. This acceleration is due to the Earth’s gravity.

## Value of gravity

The value of g varies from one massive body to another. Here is a detailed table of planets and their mass, radius, and values of g.

 Planet/Sattelite Radius(m) Mass(Kg) Value of g (m/s2) Earth 6.4 × 106 6 × 1024 9.8 Mercury 2.43 × 106 3.2 × 1023 3.61 Venus 6.073 × 106 4.88 × 1024 8.83 Mars 3.38 × 106 6.42 × 1023 3.75 Jupiter 6.98 × 107 1.901 × 1027 26.0 Saturn 5.82 × 107 5.68 × 1026 11.2 Uranus 2.35 × 107 8.68 × 1025 10.5 Neptune 2.27 × 107 1.03 × 1026 13.3 Pluto 1.15 × 106 1.2 × 1022 0.61

### Calculate acceleration due to gravity earth

The acceleration due to gravity formula is given by $g=\frac{GM}{R^{2}}$

Where,

• G is the universal gravitational constant, G = 6.674×10-11m3kg-1s-2.
• M is the mass of the massive body measured using kg.
• R is the radius of the massive body measured using m.
• g is the acceleration due to gravity measured using m/s2.

Mass of the Earth is 6 × 1024 Kg.

The radius of Earth is 6.4 × 106m

Substituting the values in the formula we get-

$g=\frac{6.67\times 10^{-11}\times 6\times 10^{24}}{\left ( 6.4\times 10^{6} \right )^{2}}$

Thus, the value of g on the Earth is g=9.8m/s2.

The acceleration due to gravity also follows the unit of acceleration

Hope you got to know the value of g on the Earth along with acceleration due to gravity formula, definition, calculation, SI units and table of the value of g for planets in solar system.

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