Two satellites A and B are orbiting in circul | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The orbital velocity $v$ of a satellite at a distance $r$ from the center of the Earth is given by the formula: $v = \sqrt{\frac{GM}{r}}$.From thi

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) The orbital velocity $v$ of a satellite at a distance $r$ from the center of the Earth is given by the formula: $v = \sqrt{\frac{GM}{r}}$.From this relation,we can see that $v \propto \frac{1}{\sqrt{r}}$.Therefore,the ratio of the velocities of satellites $B$ and $A$ is: $\frac{v_B}{v_A} = \sqrt{\frac{r_A}{r_B}}$.Given $r_A = 4R$,$r_B = R$,and $v_A = 3V$,we substitute these values into the equation:$\frac{v_B}{3V} = \sqrt{\frac{4R}{R}} = \sqrt{4} = 2$.Thus,$v_B = 2 	imes 3V = 6V$.

Two satellites $A$ and $B$ are orbiting in circular paths of radii $4R$ and $R$ respectively. If the orbital velocity of satellite $A$ is $3V$,what is the orbital velocity of satellite $B$ (in $V$)?

Similar Questions

The orbital speed of a satellite revolving around a planet in a circular orbit is $v_0$. If its speed is increased by $10 \%$,then ..........

The Sun revolves around the galaxy with a speed of $250 \, km/s$ and its radius is $3 \times 10^{4} \, \text{light years}$. The mass of the Milky Way is:

The radius of the orbit of a geostationary satellite is (mean radius of the earth is $R$,angular velocity about its axis is $\omega$,and acceleration due to gravity on the earth's surface is $g$).

The orbital period of a geostationary satellite is (in $\,h$)

$A$ satellite of the earth is revolving in a circular orbit with a uniform speed $v$. If the gravitational force suddenly disappears,the satellite will

Vedclass Test Series

Exam Paper Generator

Online Exam Module