if a man goes height from earth surface equal to radius of earth then his weight becomes
Answers
Answer:
Explanation:
let the value of g at height h = g'
now there is an equation to find the acceleration dur to gravity at a height above the earth's surface . If you are not aware of the equation I will tell you
The equation is :
g' = g/(1 + h/R)²
here ,
g = acceleration due to gravity at the surface of the earth
g' = acceleration due to gravity at a height h
R = radius of the earth
According to the question,
h = R
now putting the value,
g' = g/(1 + h/R)²
= g/(1 + R/R)² = g/4
=> g' = g/4 .............. eq 1
now,
weight = mass x acceleration due to gravity
W = mg (at the surface of the earth) .......... eq 1
let the weight at height h be W',
W' = mg' .............. from eq 1
= mg/4
= W/4 ...........from eq 2
therefore the weight becomes 1/4th of the Weight at the surface of the earth
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