Question

An artificial satellite of the earth release a package. If air resistance is neglected, the point when the package will hit (w.r.t. the position at the time release) will be

• A. ahead
• B. exactly below
• C. behind
• D. it will never reach the earth

Answer 1

The correct option is D it will never reach the earth

when packet is released from satellite, it will have the same velocity as satellite say $v_p$ in direction same as satellite.

assume mass of particle is $m$

so centrifugal force on particle = $\frac{m{v}_p^2}{r}$

and gravitational force acting on particle = $\frac{mG{M}_e}{r^2}$

These forces will get balance accordingly and particle will start revolving around earth as satellite is also revolving,

particle will never reach earth.