Question

Two objects of masses m1 and m2 when separated by distance d exerts force F on each other. What happens
when:
(i) value of mass of 1st object is doubled?
(ii) mass of both object is doubled?
(iii) masses are brought closer so that distance between them becomes d/2?

Answer 1

Dear Student
$$\begin{gathered} Forcebetweentwoobjectscanbegivenas \\ F=G\frac{m_1{m}_2}{d^2} \\ i)Whenvalueofmassoffirstobjectdoubled \\ thennewfroceF\text{'}=G\frac{2m_1{m}_2}{d^2}=2F \\ Soforceisdoubled. \\ ii)Whenmassofbothobjectdoubled \\ thennewfroceF\text{'}=G\frac{2m_{1}2m_2}{d^2}=4F \\ Soforceisfourtimesthatoforiginalforce. \\ iii)Whendbecomesd/2 \\ hennewfroceF\text{'}=G\frac{m_1{m}_2}{{\left(d/2\right)}^2}=4F \\ Soforceisfourtimesthatoforiginalforce. \end{gathered}$$
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