Q. 125.0( 1 Vote )

How will you arrive at the equation for acceleration due to gravity on earth?

Answer :

From Newton's second law of motion we know that force is the product of mass and acceleration.
F = ma
If the force due to gravity on a particle of mass m has magnitude
F = mg
where g denotes the acceleration due to gravity, then by using the equation of force of gravitation
F =
we get
mg = G
g = G
where M is the mass of the earth, r is the distance between the particle and the center of the earth.
If the particle is on or near the surface of the earth, then r is taken equal to R, the radius of the earth. Thus for bodies on or near the surface of the earth,
mg = G
g = G.

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