Question

16. Define ‘g’ and give its value on the surface of the earth.

Answer 1

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Define Acceleration due to Gravity (g):

➡The uniform acceleration produced in a freely falling body due to the gravitational force of the Earth is known as acceleration due to gravity .

➡It is denoted by the letter g .

➡The value of acceleration due to gravity is

$g \: = 9.8 \:\frac{m}{ {s}^{2} }$

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Answer 2

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The variable “g” is known as the universal constant of gravity, and it is 6.67408(31)×10^−11 m^3 / kg s^2. It is used in Newtons\’s universal formulation of gravity:

F = g (M1 * M2) / r*2,

where F is the force due to gravity, M1 and M2 are the two masses involved, and r is the distance between their respective centers of mass.

If one of those masses is the Earth, and r is the distance from the mass center of the Earth and the surface, this equation may be simplified to be:

F = G M2 ,

where G is the g above combined with the mass of the Earth and r, and its value is 32 ft/sec^2, or 10 meters/sec^2, accurate to two places.

So, the value of g is as stated, anywhere in the known universe. The value for G is valid only on the surface of the Earth.

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