A satellite is moving with a constant speed $v$ in circular orbit around the earth. An object of mass $‘m’$ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is

What is the total energy at infinite distance ? (zero or positive)

A satellite is revolving round the earth with orbital speed $v_0$. If it stops suddenly, the speed with which it will strike the surface of earth would be : ($v_e =$ escape velocity of a particle on earth's surface)

A satellite of mass $\mathrm{m}$ is launched vertically upwards with an initial speed $u$ from the surface of the earth. After it reaches height $\mathrm{R}$ ($R =$ radius of the earth), it ejects a rocket of mass $\frac{\mathrm{m}}{10}$ so that subsequently the satellite moves in a circular orbit. The kinetic energy of the rocket is

($G$ is the gravitational constant: $\mathrm{M}$ is the mass of the earth)

A particle of mass $m$ is thrown upwards from the surface of the earth, with a velocity $u.$ The mass and the radius of the earth are, respectively, $M$ and $R.$  $G$ is gravitational constant and $g$ is acceleration due to gravity on the surface of the earth. The minimum value of $u$ so that the particle does not return back to earth, is