communication satellite moves in the orbit of radius 44400 km around the earth. the acceleration of such a satellite assuming that the only force acting on it is that due to the earth is

A)0.4 mps

B)0.6mps

C)0.2mps

D)0.1mps

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Solution

Given,
Radius of the orbit of the satellite, r = R+h = 44400 km = 444 * 10⁵ m
Mass of the earth, M_e = 6 * 10²⁴ kg
Universal gravitational constant, G = 6.67 * 10^-11 Nm²kg^-2

Now,
the acceleration of the satellite, a = (G * M_e ) / r²
= {(6.67 * 10^-11) * (6 * 10²⁴)} / (444 * 10⁵)²

= (40.02 * 10¹³ ) / (197136 * 10¹⁰ )

= 0.20301 m/s² .
answer is option c

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communication satellite moves in the orbit of radius 44400 km around the earth. the acceleration of such a satellite assuming that the only force acting on it is that due to the earth is A)0.4 mps B)0.6mps C)0.2mps D)0.1mps

communication satellite moves in the orbit of radius 44400 km around the earth. the acceleration of such a satellite assuming that the only force acting on it is that due to the earth is

A)0.4 mps

B)0.6mps

C)0.2mps

D)0.1mps