Math, asked by vaibhavtijare2445, 1 year ago

Weight of a body is inversely propotional to the square of its distance from center of earth, radius of the earth is 6380 km, how much 80 kg man weigh 1600 km from the surface of earth.

Answers

Answered by ruturajrp
0
Let weight = w = 80Kg, r = radius of earth = 6380km, d = distance = 1600+6380 = 7980km

Weight of a body is inversely proportional to the square of its distance from center of earth, i.e.
w=k/d
²
where k is constant
k = wd²

When the person is on earth, w = 80kgs and d = 6380Kms
therefore k = 80×6380²

When the person is 1600 away from the earth, w = x =?; d = 6380+1600=7980
k = wd²
80×6380²=x×7980²
x = 80×6380²/7980²
x = 51.13

The man will weigh 51.13 kgs 1600 away from earth surface.
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