Question

Choose the correct alternative:

(a) Acceleration due to gravity increases/decreases with increasing altitude.

(b) Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).

(c) Acceleration due to gravity is independent of mass of the earth/mass of the body.

(d) The formula –G Mm(1/r2– 1/r1) is more/less accurate than the formula mg(r2– r1) for the difference of potential energy between two points r2and r1distance away from the centre of the earth.Question 8.2 GRAVITATION

Answer 1

a) decrease
b) decrease
c) mass of the body

Answer 2

(A) acceleration due to gravity at height h from the earth's surface is given by
g = go/(1 + h/r)²
Where , go is initial acceleration due to gravity . h is height from the surface of the earth and r is radius of the earth.

Hence, accⁿ due to gravity decrease with increase height (attitude ) .


(B) we know,
accⁿ due to gravity at depth h from the earth' surface is given by g' = g(1 - h/r)

hence, accⁿ due to gravity decrease with increasing depth

(C) accⁿ due to gravity is independent of the mass of the body .


(D) the formula , -GmM(1/r2 - 1/r1) is more accurate then the formula mg(r2 - r1) for the potential energy between two point r2 and r1 distance away from the center of the earth .