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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