You are a person with incredible arm strength. You throw a ball of mass m = 2 kg horizontally with initialy velocity vo. (a) How quickly would you have to throw the ball so that the ball enters a perfectly circular orbit around Earth? (Assume your height is much less than Earth's radius). (b) How long would the ball take to complete one orbit? (c) Let's say you throw the ball with 1.2× the speed found in (a). What is the semi-major axis of the new elliptical orbit of the ball? (d) How long would it take for the ball to complete its new orbital jour- ney?

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Chapter1: Units, Trigonometry. And Vectors
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3. You are a person with incredible arm strength. You throw a ball of mass
2 kg horizontally with initialy velocity vo.
m =
(a) How quickly would you have to throw the ball so that the ball enters
a perfectly circular orbit around Earth? (Assume your height is much
less than Earth's radius).
(b) How long would the ball take to complete one orbit?
(c) Let's say you throw the ball with 1.2× the speed found in (a). What
is the semi-major axis of the new elliptical orbit of the ball?
(d) How long would it take for the ball to complete its new orbital jour-
ney?
Transcribed Image Text:3. You are a person with incredible arm strength. You throw a ball of mass 2 kg horizontally with initialy velocity vo. m = (a) How quickly would you have to throw the ball so that the ball enters a perfectly circular orbit around Earth? (Assume your height is much less than Earth's radius). (b) How long would the ball take to complete one orbit? (c) Let's say you throw the ball with 1.2× the speed found in (a). What is the semi-major axis of the new elliptical orbit of the ball? (d) How long would it take for the ball to complete its new orbital jour- ney?
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