(10%) Problem 4: A satellite is traveling around a planet in a circular orbit wi

Question

(10%) Problem 4: A satellite is traveling around a planet in a circular orbit with radius R It moves in a constant speed of v-1.01 × 104 m/s. The mass of the planet is M= 6.08 × 1024 kg. The mass of the satellite is m - 9.2 x 103 kg ©theexpertta.com Grade Summary Deductions Potential KE 0% 100% 78 9 Submissions Attempts remaining: S (1% per attempt) detailed view 0 END Submit Hints: 1 % deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback 10% Part (b) Calculate the value of KE in joules ? 10% Part (c) Enter an expression for the magnitude of the gravitational force F in terms of M, R,m and the gravitational constant G -? 10% Part (d) Enter an expression for the centripetal acceleration of the satellite ac in terms of the speed of the satellite, v , and R 10% Part (e) Enter an expression for the radius R in terms of G, M and v. 10% Part (f) Calculate the value of R in meters ? 10% Part (g) Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R ? 10% Part (h) Calculate the value of PE in joules ? 10% Part (i) Enter an expression for the total energy E of the satellite in terms of m and v -? 10% Part(j) Calculate the value of the total energy E in joules

Explanation / Answer

a)

KE= 0.5mv 2

b)

=0.5*6.08*1024*1.012*108

=3.1*1041J

c)

F=GMm/R 2

d)

Also, this force will give the centripetal acceleration.

So,

ma=F

a=GM/R 2

and,

Also, centripetal acceleration is,.

a=v 2/R

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