Question

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How To calculate The Value Of g ?

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Answer 1

Answer:

5.98x1024 kg) and the distance (d) that an object is from the center of the earth. If the value 6.38x106 m (a typical earth radius value) is used for the distance from Earth's center, then g will be calculated to be 9.8 m/s2. And of course, the value of g will change as an object is moved further from Earth's center.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Let , an object of mass 'm' is dropped from a distance ' R ' from the centre of the Earth of mass ' M ' , then according to the universal law of gravitation , the force exerted by the earth on the body is given as :

...... (1)

And , from the second equation of motion , we know that ,

Force = Mass × Acceleration .

or ,

F = ma

So , Acceleration =  ...... (2)

Putting the value of Force , from the equation (1) in the second equation , we get :-

Acceleration, a =  

Or ,

a =  

The acceleration produced by the earth is known as acceleration sue to gravity and is represented by the symbol 'g' in place of 'a' in the above equation , we get :-

Acceleration due to gravity ,

g =  

Where ,

G = Gravitational Constant.

M = Mass of the earth .

R = Radius of the earth .

Now , to calculate the value of "g" , we should put the values of G , M and R in the formula derived above .

We know that ,

Gravitational Constant =

Mass of the earth =

Radius of the earth =

By , putting these values of G , M and R in the above formula , we get :-

This is taken as the standard value of "g" , but sometimes to make calculations easy , it is again rounded off to 10m/s square

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