If r represents the radius of the orbit of the satellite of mass m moving around planet of mass M, then the velocity of satellite v is obtained from the relation:

Question

If r represents the radius of the orbit of the satellite of mass m moving around planet of mass M, then the velocity of satellite v is obtained from the relation: (A) v=(G Mm/r) (B)  v =(Gm/r)  (C) v2=(Gm/r)  (D) v =(GM/r)

Tardigrade Admin · Accepted Answer

Here: Radius of orbit =r Mass of the satellite =m Mass of the planet =M Velocity of satellite =v when a satellite moves in an orbit. Its gravitational force is balanced by the centripetal force, thus, (G M m/r2)=(m v2/r) (where G is universal constant) or v2=(G M/r)

Q. If $r$ represents the radius of the orbit of the satellite of mass $m$ moving around planet of mass $M$ , then the velocity of satellite $v$ is obtained from the relation:

$v = \frac{GM m}{r}$

$v = \frac{G m}{r}$

$v^{2} = \frac{G m}{r}$

$v = \frac{GM}{r}$

Q. If r represents the radius of the orbit of the satellite of mass m moving around planet of mass M, then the velocity of satellite v is obtained from the relation:

v=rGMm​

v=rGm​

v2=rGm​

v=rGM​

Here : Radius of orbit =r Mass of the satellite =m Mass of the planet =M Velocity of satellite =v when a satellite moves in an orbit. Its gravitational force is balanced by the centripetal force, thus, r2GMm​=rmv2​ (where G is universal constant) or v2=rGM​

Q. If $r$ represents the radius of the orbit of the satellite of mass $m$ moving around planet of mass $M$ , then the velocity of satellite $v$ is obtained from the relation:

$v = \frac{GM m}{r}$

$v = \frac{G m}{r}$

$v^{2} = \frac{G m}{r}$

$v = \frac{GM}{r}$