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.

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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