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  • Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :

Option: 1

\mathrm{\frac{2}{9} \mathrm{~F}}


Option: 2

\mathrm{\frac{16}{9} \mathrm{~F}}


Option: 3

\mathrm{\frac{8}{9} \mathrm{~F}}


Option: 4

\mathrm{\mathrm{F}}


Answers (1)

Case-1

\mathrm{F=\frac{Gm^{2}}{d^{2}}}

Case-2

\mathrm{m+m/3=\frac{4m}{3}}                 \mathrm{m-m/3=2m/3}

\mathrm{F^{\prime}=\frac{G \times \frac{4m}{3} \times \frac{2 m}{3}}{d^{2}}=\frac{8}{9} \frac{\operatorname{Gm}^{2}}{d^{2}}=\frac{8}{9} F}

Hence the correct option is 3

Posted by

Kshitij

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