A satellite of mass M is revolving around the earth at a height R (R=radius of the earth )
A satellite of mass M is revolving around the earth at a height R (R=radius of the earth ). If get is the gravitational field intensity,the kinetic energy of the satellite is
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I will go with option (C)
Taking m = mass of satellite
M = mass of earth
g = gravitational field intensity
G = Gravitational constant
v = velocity of satellite at height R from surface of the earth, where R = radius of earth
here GM= gR^2
Here centripetal force = gravitational pull
=> (mv^2)/(2R) = (GMm)/(2R)^2
=> (1/2 mv^2) /R = (gR^2m)/(4R^2)= mg/4
=> KE = mgR/4
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