Two satellites $A$ and $B$,having a ratio of masses $3 : 1$,are in circular orbits of radius $r$ and $4r$ respectively. Calculate the ratio of the total mechanical energy of $A$ and $B$.

Match the following columns.

$A$. Potential energy of satellite	$I$. Positive
$B$. Total energy of satellite	$II$. Negative
$C$. Kinetic energy of satellite	$III$. Zero
$D$. Gravitational potential energy of satellite at infinity	$IV$. Infinity

$A$ satellite moves around the earth in a circular orbit of radius $r$ with speed $v$. If the mass of the satellite is $M$,its total energy is

$A$ satellite is orbiting the Earth with an orbital velocity $v_0$. If it is suddenly stopped and allowed to fall onto the Earth,what will be its velocity when it hits the Earth's surface? (Let $v_e$ be the escape velocity from the Earth's surface.)

Two satellites $A$ and $B$ having masses in the ratio $4: 3$ are revolving in circular orbits of radii $3r$ and $4r$ respectively around the earth. The ratio of total mechanical energy of $A$ to $B$ is.

The additional kinetic energy to be provided to a satellite of mass $m$ revolving around a planet of mass $M$ to transfer it from a circular orbit of radius $R_1$ to another of radius $R_2$ $(R_2 > R_1)$ is: