Question

State the principle of rocket. With respect to the launching of rocket, define orbital velocity and escape velocity. Write the relationship between them.

Answer 1

The principle of rocket states that the total momentum of a system is conserved when the net external for acting on the system is zero.
a. Orbital velocity : The velocity of a satellite along a circular path is called orbital velocity. $V_0=\sqrt{Rg}$
b. Escape Velocity : The minimum velocity with a body must be projected to that it escapes from the gravitational field of earth is called escape velocity.
$V_c=\sqrt{2Rg}$
The relation between the orbital velocity $\left(V_0\right)$:
eruape velocity $\left(V_c\right)$ are:
Orbital velocity $V_0=\sqrt{Rg}....\left(1\right)$
Escape velocity $V_e=\sqrt{2Rg}....\left(2\right)$
From equation $\left(1\right)$ and $\left(2\right)$
$\therefore V_c=\sqrt{2}{V}_0$