An object weights $72 N$ on earth. Its weight at a height of $R / 2$ from earth is:

32 N

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56 N

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72 N

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Z e r o

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Solution

The correct option is A $32 N$
$g^{1} = g {(\frac{R}{R + h})}^{2} = g {⎛ ⎜ ⎜ ⎜ ⎝ \frac{R}{R + \frac{R}{2}} ⎞ ⎟ ⎟ ⎟ ⎠}^{2} = \frac{4}{9} g$
$∴$ Work done $= W^{1} = \frac{4}{9} \times W = \frac{4}{9} \times 72 = 32 N$
Thus, work done $= 32 N$

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An object weights 72N on earth. Its weight at a height of R/2 from earth is:

The correct option is A 32Ng1=g(RR+h)2=g⎛⎜ ⎜ ⎜⎝RR+R2⎞⎟ ⎟ ⎟⎠2=49g∴ Work done =W1=49×W=49×72=32NThus, work done =32N

An object weights $72 N$ on earth. Its weight at a height of $R / 2$ from earth is:

The correct option is A $32 N$
$g^{1} = g {(\frac{R}{R + h})}^{2} = g {⎛ ⎜ ⎜ ⎜ ⎝ \frac{R}{R + \frac{R}{2}} ⎞ ⎟ ⎟ ⎟ ⎠}^{2} = \frac{4}{9} g$
$∴$ Work done $= W^{1} = \frac{4}{9} \times W = \frac{4}{9} \times 72 = 32 N$
Thus, work done $= 32 N$