Question

what is acc bration due to gravity ? explain formula of relation between g and G and find the value of g​

Answer 1

Answer:

the value of g is 9.8 m/s^2

acc due to gravity is the force which acts on every body inside the earth's atmosphere and which attracts the body towards itself

Answer 2

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• Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s². It has both magnitude and direction, hence, it's a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s².

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• The Relation Between G and g -:

↳Consider earth to be a spherical body of mass M, radius R with center O, as shown in the figure below:

↳The acceleration due to gravity is g. If the density of the earth is uniform, its mass can be supposed to be concentrated at its center O.

↳Let F be the force of attraction between the body and the earth.

According to Newton’s law of gravitation

F = $\frac{GmM}{r²}$.....1

From the gravity pull, F = mg.....2

Equating (1) and (2) we get,

$\small{g\:=\:}{\frac{GM}{r²}}$

• The equation so obtained states that g depends upon the mass and radius of the earth.

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