A 7500-kg satellite has an elliptical orbit, as in the figure. The point on the

Question

A 7500-kg satellite has an elliptical orbit, as in the figure. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the earth is called the perigee and is at the far left side of the drawing. Suppose that the speed of the satellite is 2970 m/s at the apogee and 8300 m/s at the perigee.

(a) Find the work done by the gravitational force when the satellite moves from the apogee to the perigee.
J

(b) Find the work done by the gravitational force when the satellite moves from the perigee to the apogee.
J

Explanation / Answer

The force on the satellite is centripetal force which is towards the earth . and the displacement is in tangential direction . so the angle between force and diaplace ment is 90 degrees          work done by the gravitational force when it moves from apogee to perigee is                 W = F s cos?   = Fs cos 90   = 0 J        work done by the gravitational force when the satellite moves from the perigee to the apogee.                     W = 0 J  

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