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CBSE Class 11-science Answered

1. The orbial velocity (v), of a satellite may depend on mass (m), and distance (r), from center of the earth and accerlation due to gravity (g). Obtain the expression for the velocity.
Asked by jacobashish57 | 11 May, 2019, 12:21: PM
answered-by-expert Expert Answer
Gravitational force of attraction between satellite and earth acts as centripetal force .
 
hence begin mathsize 12px style fraction numerator m space v squared over denominator R plus h end fraction space equals space G space fraction numerator m space M over denominator open parentheses R plus h close parentheses squared end fraction end style  ................(1)
where m is mass of satellite, M is mass of earth, v is orbital velocity, R is radius of earth and
h is height of satellite above earth's surface
if we substitute acceleration due to gravity g = GM/R2   , then we have from eqn.(1),  begin mathsize 12px style v space equals space R square root of fraction numerator g over denominator R plus h end fraction end root end style .
Answered by Thiyagarajan K | 11 May, 2019, 11:11: PM
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