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PhysicsQ&A LibraryA 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 × 10^{4} m/s. The mass of the planet is *M* = 5.9 × 10^{24} kg. The mass of the satellite is *m* = 5.7 × 10^{3} 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.

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(*F _{c}*) is assisted by the gravitational force(

Step 3

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

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