The escape velocity from the earth gravitational field depends upon:earth's
Correct answer: C. radius of earth
- A. rotation of earth
- B. mass of body
- C. radius of earth
- D. mass of earth
Explanation
Escape velocity, Ve =√( 2GM/R) Acceleration due to gravity, g= GM/R², which is always constant. Plugging this value of g in the first equation: Ve= √2gR , where R is the radius of the earth . From the above equation, we see escape velocity is dependent upon is gravitational acceleration and radius of the earth so option C is correct.
This question appeared on the ETEA MDCAT 2011 paper, which you can sit online with every answer explained.
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Satellite motion uses gravitational force as the centripetal force required for circular orbit, giving relationships among orbital radius, period and orbital velocity. Questions cover geostationary conditions and weightlessness, while distinguishing orbital velocity, escape velocity and the satellite's tangential speed.
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