Question

A body is in an elliptical orbit about the earth. The magnitude of the acceleration of this body is g (Re/R)^2, where R is the distance from the body to the center of the earth, Re = 6,370 km, and g = 9.807 m/s^2 . At the position shown, the speed of the body is 27,000 km/hr. Determine the rate of change of the speed and the radius of curvature of the orbit at this position.

9,000 km 12,000 km 27,000 km/hr

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