Textbook ExpertVerified Tutor
29 Oct 2021
Given information
It is given that the acceleration due to gravity is the same as that on the surface.
Step-by-step explanation
Step 1.
The near-Earth satellite is orbiting in a circular path which is close to earth's surface (the height at which the satellite is orbiting is very small as compared to Earth's radius). The satellite is experiencing two forces, first centripetal force which is balanced by Earth's gravitational force.
Where, mass of satellite is ,
mass of Earth is ,
radius of Earth (or height at which the satellite is placed since it is very near to Earth therefore, it is equals to radius of Earth) is ,
Gravitational constant is and velocity of the satellite is .
On solving the above equation for will be
We know the velocity of satellite can be given as
Rearrange and solve for the object's time period:
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