The radii of circular orbits of two satellite | vedclass

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(B) The orbital speed of a satellite around the earth is given by $v = \sqrt{\frac{GM}{r}}$.For satellite $A$,the radius is $r_A = 4R$ and the speed i

Vedclass · Accepted Answer

$6$

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(B) The orbital speed of a satellite around the earth is given by $v = \sqrt{\frac{GM}{r}}$.For satellite $A$,the radius is $r_A = 4R$ and the speed is $v_A = 3V$.Thus,$v_A = \sqrt{\frac{GM}{4R}} = 3V$ ... $(i)$For satellite $B$,the radius is $r_B = R$ and the speed is $v_B$.Thus,$v_B = \sqrt{\frac{GM}{R}}$ ... (ii)Dividing equation (ii) by equation $(i)$,we get:$\frac{v_B}{v_A} = \frac{\sqrt{GM/R}}{\sqrt{GM/4R}} = \sqrt{\frac{4R}{R}} = \sqrt{4} = 2$.Therefore,$v_B = 2 	imes v_A = 2 	imes 3V = 6V$.The speed of satellite $B$ is $6V$.

The radii of circular orbits of two satellites $A$ and $B$ of the earth are $4R$ and $R,$ respectively. If the speed of satellite $A$ is $3V,$ then the speed of satellite $B$ will be ...... $V$.

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