# A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.02 × 104 m/s. The mass of the planet is M = 5.9 × 1024 kg. The mass of the satellite is m = 5.7 × 103 kg.a)Calculate the value of PE in joules.b)Enter an expression for the total energy E of the satellite in terms of m and v.c) Calculate the value of the total energy E in joules.

Question
Asked Nov 14, 2019
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A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.02 × 104 m/s. The mass of the planet is M = 5.9 × 1024 kg. The mass of the satellite is m = 5.7 × 103 kg.

a)Calculate the value of PE in joules.

b)Enter an expression for the total energy E of the satellite in terms of m and v.

c) Calculate the value of the total energy E in joules.

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Step 1

Consider a satellite having mass m orbiting around a planet in radius R with speed v and the planet’s mass is denoted by M.

Step 2

The needed centripetal force(Fc) is assisted by the gravitational force(FG). Find the radius(R) of the orbit by equation these two forces.

Step 3

(a) write the expression for potential energy(P) and plug the requi...

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