Variation of Weight with Height – Rankers Physics
Topic: Gravitation
Subtopic: Acceleration Due to Gravity and its variation

Variation of Weight with Height

A body weighs \(900\text{ N}\) on the surface of earth. How much will it weigh at a height double the radius of earth?
\(56.25\text{ N}\)
\(100\text{ N}\)
\(225\text{ N}\)
\(250\text{ N}\)

Solution:

Using the formula for acceleration due to gravity at height \(h\): \(g' = g\left(\frac{R}{R+h}\right)^2\). For \(h = 2R\), \(g' = \frac{g}{9}\) . Hence, weight at this height is \(W' = \frac{W}{9} = \frac{900\text{ N}}{9} = 100\text{ N}\).

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