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- QUESTION 17 In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a constant distance of 2.0 x101 m. How many earth days does it take for the planet ot execute one complete orbit about the sun? a. 660 days b. 460 days с. 360 days d. 260 days е. 560 days3. 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 1.2x 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?Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. This is called an "Earth analog system or "Earth twin". The masses and the orbits are the same except you can assume a perfectly circular orbit. A) Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate x time. In a circular orbit, the speed is always the same, so you can use a time that is one full orbital period (1 year). What is the distance that a planet on a circular orbit travels in this time? Calculate the speed of the Earth twin in meters/second. Mass of the sun: 2 x 1030 kg. Mass of the Earth: 5.97 x 1024kg (Note: I think I understand how to use the distance= rate x time, but I'm not sure what to input for rate in this situation. I am also not sure how to calculate the speed of the Earth twin)
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