A body weighs 72 N on the surface of the earth. What is the gravitational force on it due
to the earth at a height equal to half the radius of the earth from the surface?
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5
Explanation:
According to Newton's gravitational law,
W_f=\frac{W}{\left(1+\frac{h}{r}\right)^2}
here W is the weight of body on he surface of earth, h is the height of body from the surface of earth, r is the radius of earth.
here, weight to body , W = mg = 72N on the surface of earth. we have to find out weight of body at a height equal to half the radius of the earth above the earth's surface.
so, h = r/2
so, weight of body = \frac{72}{\left(1+\frac{r/2}{r}\right)^2}
= 72/(1 + 1/2)² = 72/(3/2)² = 72 × 4/9 = 32N
Answered by
11
Answer:32 N
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