182. assignment (orbital period)

In a shuttle craft of mass m = 2000 kg, Captain Janeway orbits a planet of mass M = 5.98×1024 kg, in a circular orbit of radius r = 6.80×106 m. What are (a) the period of the orbit and (b) the speed of the shuttle craft?

(a) the period 

(b) the speed 

 

Janeway briefly fires a forward-pointing thruster, reducing her speed by 6.0percent.(Assume that there was a negligible change in the mass of the craft). Just then, what are (c) the speed, (d) the kinetic energy, (e) the gravitational potential energy, and (f) the mechanical energy of the shuttle craft?

 

(c) the speed 

(d) the kinetic energy 

(e) the gravitational potential energy 

(f) the mechanical energy of the shuttle craft 

(g) What is the semimajor axis of the elliptical orbit now taken by the craft? 

(h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit?

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