2. Consider the planet Venus, travelling in (roughly) a circular orbit around the sun. The radius...

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2. Consider the planet Venus, travelling in (roughly) a circular orbit around the sun. The radius of Venus's orbit is 1.08 x 10 m, and Venus travels around this orbit in about 225 days. (Please feel free to use a calculator for this problem.) a. Calculate the distance that Venus travels in this period of 225 days. How long is 225 days in SI units? b. Given the above, what is the orbital velocity of Venus as it travels around the sun, in units of m/s? In what direction is the velocity vector pointing? c. What is the radial (or centripetal) acceleration of Venus in this circular orbit, in m/s? In what direction is the acceleration vector pointing? Consider now the planet Mars, also travelling in (roughly) a circular orbit around the sun, with radius 2.28 x 101 m in a time of 687 days. d. Is the orbital velocity of Mars greater than, equal to, or less than the orbital velocity of Venus? Instead of calculating the exact numerical value, please justify your answer by comparing the variables in the equation used here to that in part b above. e. Is the radial acceleration of Mars greater than, equal to, or less than the radial acceleration of Venus? Instead of calculating the exact numerical value, please justify your answer by comparing the variables in the equation used here to that in part c above. 2. Consider the planet Venus, travelling in (roughly) a circular orbit around the sun. The radius of Venus's orbit is 1.08 x 10 m, and Venus travels around this orbit in about 225 days. (Please feel free to use a calculator for this problem.) a. Calculate the distance that Venus travels in this period of 225 days. How long is 225 days in SI units? b. Given the above, what is the orbital velocity of Venus as it travels around the sun, in units of m/s? In what direction is the velocity vector pointing? c. What is the radial (or centripetal) acceleration of Venus in this circular orbit, in m/s? In what direction is the acceleration vector pointing? Consider now the planet Mars, also travelling in (roughly) a circular orbit around the sun, with radius 2.28 x 101 m in a time of 687 days. d. Is the orbital velocity of Mars greater than, equal to, or less than the orbital velocity of Venus? Instead of calculating the exact numerical value, please justify your answer by comparing the variables in the equation used here to that in part b above. e. Is the radial acceleration of Mars greater than, equal to, or less than the radial acceleration of Venus? Instead of calculating the exact numerical value, please justify your answer by comparing the variables in the equation used here to that in part c above.