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Question

Physics Question on Gravitation

An artificial satellite of the earth releases a packet. If air resistance is neglected, the point where the packet will hit, will be

A

a head

B

exactly below

C

behind

D

it will never reach the earth

Answer

it will never reach the earth

Explanation

Solution

when packet is released from satellite, it will have the same velocity as satellite say vpv _{ p } in direction same as satellite. assume mass of particle is mm so centrifugal force on particle =mvp2r=\frac{m v_{ p }^{2}}{ r } and gravitational force acting on particle =mGMer2=\frac{ mGM _{ 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.