An artificial satellite is moving in a circular orbit around the Earth with a speed equal to half the magnitude of escape velocity from the Earth. (a) Determine the height of the satellite above the earth's surface. (b) If the satellite is stopped suddenly in its orbit and allowed to fall freely onto the Earth, find the speed with which it hits the surface of the Earth.

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An artificial satellite is moving in a circular orbit
around the Earth with a speed equal to half the
magnitude of escape velocity from the Earth.
(a) Determine the height of the satellite above the
earth's surface.
(b) If the satellite is stopped suddenly in its orbit
and allowed to fall freely onto the Earth, find the
speed with which it hits the surface of the Earth.
Transcribed Image Text:An artificial satellite is moving in a circular orbit around the Earth with a speed equal to half the magnitude of escape velocity from the Earth. (a) Determine the height of the satellite above the earth's surface. (b) If the satellite is stopped suddenly in its orbit and allowed to fall freely onto the Earth, find the speed with which it hits the surface of the Earth.
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