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(c) Derive an expression for acceleration …

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(c) Derive an expression for acceleration due to gravity in terms of mass of the earth (M) and universal gravitational constant (G). OR
  • 1 answers

Yogita Ingle 3 years, 9 months ago

To calculate the value of g, we should put the values of G, M and R 

Where G=universal gravitational constant, G=6.7×10–11Nm2kg−2 

mass of the earth, M=6×1024kg, 

and radius of the earth, R=6.4×106m.

g=GM​/R2

g= [6.67×10−11×6×1024] /(6×106)2 ​=9.8m/s2

 Thus, the value of acceleration due to gravity of the earth, g=9.8m/s2

Also we know Weight in nothing but the force exerted by the earth with a value of acceleration =9.8m/s2

Now at the poles the value of acceleration due to gravity is higher as compared to the equator as the constant value of  g depends on the radius of the earth which decreases when we come down from poles to the equator. 

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