Question

Calculate decrease in value of acceleration due to gravity when body is taken 3200km above the surface of earth also calculate fractional decrease and percentage decrease

Answer 1

Answer:

5/9

55.55 %

Explanation:

Calculate decrease in value of acceleration due to gravity when body is taken 3200km above the surface of earth also calculate fractional decrease and percentage decrease

gravity at an height above h  from earth surface is defined as

g = g₀/( 1 + h/R)²

h = 3200 km

R = 6400 km

g = g₀/( 1 + 3200/6400)²

g = g₀/(1 + 1/2)²

g = g₀/(3/2)²

g = g₀(2/3)²

g = g₀(4/9)

decrease in Value = g₀ - g₀(4/9) = g₀(5/9)

Value decreased by 5/9

% decrease = (g₀(5/9))/g₀   * 100 = 55.55 %