A man of weight W on the surface of the earth. What is his weight at a height equal to R ?

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Question: Answered & Verified by Expert

A man of weight

W

on the surface of the earth. What is his weight at a height equal to

R

?

PhysicsGravitationNEET

Options:

A $W$
B $\frac{W}{2}$
C $\frac{W}{4}$
D $\frac{W}{8}$

Solution:

1922 Upvotes Verified Answer

The correct answer is:

\frac{W}{4}

Value of g at height h is given as

g_{e f f} = \frac{g}{{(1 + \frac{h}{R})}^{2}}

\frac{W_{h}}{W} = \frac{m g_{h}}{m g}

= \frac{g_{h}}{g}

= \frac{R^{2}}{{(R + R)}^{2}}

W_{h} = \frac{W}{4}

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