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 3 V, the speed of satellite B will be

To understand the relationship between the speeds of two satellites in circular orbits around the Earth, we need to consider their orbital radii. In the given problem, satellite A orbits at radius 4R and travels at a speed of 3V, whereas satellite B orbits at radius R.

The speed of a satellite in a circular orbit is dependent on the gravitational pull of the Earth and the radius of its orbit. In general, satellites closer to the Earth have a stronger gravitational force and therefore move at higher speeds. On the other hand, satellites that are farther away have slower speeds.

In this case, we know that satellite B has a radius of R and is much nearer the Earth than satellite A that orbits at 4R. We therefore see that satellite A was moving at 3V, so this immediately tells us how to compute the speed of the motion of satellite B since, having a smaller orbit radius, it will also be orbiting faster. Thus, the speed of satellite B is calculated to be 6V, which is twice the speed of satellite A. This shows the relationship between orbital radius and speed, which indicates that closer satellites must travel faster to maintain their orbits.