if the body is 392 Newton on the surface of earth what is the weight of this body on the height of hundred kilometre?( radius of earth equal to 6400 kilometres)
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Answer:
380 N
Explanation:
Acceleration due to gravity at height "h" is given as
g' = g[R/(R + h)]²
where g is acceleration due to gravity at surface of earth
Multiply both sides by mass of body "m"
mg' = mg'[R/(R + h)]²
So, weight of body at height of 100 km from surface of earth is
W' = 392 N × [6400/(6400 + 100)]²
= 392 N × (6400/6500)²
= 392 N × (64/65)²
= 380 N
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