Question

a body weighs 80n on surface of earth at what height from earth will it weigh 5N
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Answer 1

Answer:-

The body will weigh 5N at a height of 19200 km from the surface of Earth.

Explanation:-

•Radius of Earth = 6400km

Let the required height be h km.

Weight at a height of h km:-

=> Wₕ = mgₕ

=> Wₕ = mg(R/R+h)²

[ ∵ gₕ = g(R+R/h)² ]

Here, mg = 80N, R = 6400km, Wh = 5N

=> 5 = 80[6400/6400+h]²

=> 5/80 = [6400/6400+h]²

=> 1/16 = [6400/6400+h]²

=> √1/16 = √[6400/6400+h]²

=> 1/4 = 6400/6400+h

=> 6400+h = 6400×4

=> 6400+h = 25600

=> h = 25600-6400

=> h = 19200 km

Thus, required height is 19200 km from the surface of Earth.

Some Extra Information:-

•Weight of a body on the Earth is the force with which the Earth attracts a body.

•Weight is a vector quantity

•The S.I. unit of weight is Newton.