For hyperbolic trajectory of a satellite of mass $m$ having velocity $V$ at a distance $r$

from the center of earth ( $G:$ gravitational constant, $M:$ mass of earth), which one

of the following relations is true?

(A) $\quad \frac{1}{2} m V^{2}>\frac{G M m}{r}$

(B) $\quad \frac{1}{2} m V^{2}<\frac{G M m}{r}$

(C) $\quad \frac{1}{2} m V^{2}=\frac{G M m}{r}$

(D) $\quad \frac{1}{2} m V^{2}<\frac{2 G M m}{r}$

For hyperbolic trajectory of a satellite of mass $m$ having velocity $V$ at a distance $r$

from the center of earth ( $G:$ gravitational constant, $M:$ mass of earth), which one

of the following relations is true?

(A) $\quad \frac{1}{2} m V^{2}>\frac{G M m}{r}$

(B) $\quad \frac{1}{2} m V^{2}<\frac{G M m}{r}$

(C) $\quad \frac{1}{2} m V^{2}=\frac{G M m}{r}$

(D) $\quad \frac{1}{2} m V^{2}<\frac{2 G M m}{r}$

1 Answer

127 votes

(A) $\quad \frac{1}{2} m V^{2}>\frac{G M m}{r}$

127 votes

127