(10%) Problem 4: A satellite is traveling around a planet in a circular orbit wi
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(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 105 x 10* m/s. The mass of the planet is M-59 x 1024 kg. The mass of the satellite is m- 8.7 x 103 kg. Otheexpertta 10% Part (a) Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Grade Summa Attempts rem (1 % per atten detailed viev 1 2 3 0 Submit Hint Hints: 1% deduction per hint. Hints remaining:- 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. í 0% 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. ia i 0% Part d) Calculate the value of the total energy E in joules.Explanation / Answer
a) KE= ½*mv2
b) Plugging values,
KE=1/2*8.7*10^3*(1.05*10^4)^2 = 4.8*10^11 J
c) Fgrav = GMm/R2
d) ac = v2/R
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