2018 11:59:00 PM (896) Problem 15: A satellite is orbiting around a planet in a

Question

2018 11:59:00 PM (896) Problem 15: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R-1.5 x 10'm. The mass of the planet is M-10x 104 kg Click here for Problem Status u 25% Part (a)' Express the magnitude of the gravitational force Fin terms of M, R, the gr satellite m's 5 Completed - 6668 : 1010 Potential 100% Attempts remaning 9 Completed 10 Completed cotan asin acos0 atan0 acotan sinh0 coshO tanhcotanhO 13 Completed Submit 15 16 17 Partial Feedback: dedaction per feedback. Completed

Explanation / Answer

(A) F = G M m / R^2

(B) ac = v^2 / R

(C) F = m ac

G M / R = v^2

v = sqrt(G M / R)

(D) putting the values,

v = sqrt(6.67 x 10^-11 x 10 x 10^24 / (1.5 x 10^7))

v = 6668 m/s

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