Question

if the value of the 'R' of the earth decrease 1% then what changes we can noticed of the value of'g'.... what percentage will the 'g' gain or lost??​

Answer 1

Answer:

gain 2%

Explanation:

Let the mass and radius of the earth be M and R respectively.

Acceleration due to gravity, g = GM/R^2

When the radius, R’ = R-R/100 = 99R/100 = 0.99R

So, the acceleration due to gravity, g’ = GM/(0.99R)^2

or, g’ = 1.02GM/R^2

Now, the change in acceleration due to gravity,

=g’ – g

=(1.02-1)GM/R^2

= (0.02)GM/R^2

Thus, the acceleration due to gravity increases by 2%.

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