In the last decade astronomers have gotten very good at detecting planets around other stars. One...

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In the last decade astronomers have gotten very good at detecting planets around other stars. One surprise has been that so-called "super-Earths"---planets up to 2 times larger and 8 times more massive than the Earth are fairly common. Using the input values below, and following the example problem done in the Math Review lesson # 12 (posted on Blackboard), calculate your professor's weight, F, in units of pounds on such a "super-Earth". You will first use the equation given to calculate the weight in metric units of netwons [N], then need to convert this weight from newtons to pounds [lb] for your final answer. Information about the alien planet: The planet is 7.65 times more massive than Earth, so it has a mass, Mplanet = 4.57×1025 kg The planet is 1.97 times larger than Earth, so it has a radius, Rplanet = 1.26x107 m Information about your professor: He has a weight on Earth of 195 pounds, meaning he has a mass, Mprof = 88.5 kg Other key information: Newton's gravitation constant, G = 6.67x10-11 N·m²/kg² Conversion from pounds [lb] to Newtons [N]: 1.00 lb = 4.45 N Newton's Law of Gravity: (can be found on page 87 in Sect. 4.1) Your professor's weight, F, in units of pounds, on this alien super-Earth would be: F = lbs [Remember, only round off your calculator display once you have a final answer in pounds. Do NOT round off at intermediate steps or your answer can "drift" away from the correct value. If you want to enter your value in scientific notation, first type the mantissa into the box and then type an "e" and a new box will appear in which to enter the exponent on the power of ten.] In the last decade astronomers have gotten very good at detecting planets around other stars. One surprise has been that so-called "super-Earths"---planets up to 2 times larger and 8 times more massive than the Earth are fairly common. Using the input values below, and following the example problem done in the Math Review lesson # 12 (posted on Blackboard), calculate your professor's weight, F, in units of pounds on such a "super-Earth". You will first use the equation given to calculate the weight in metric units of netwons [N], then need to convert this weight from newtons to pounds [lb] for your final answer. Information about the alien planet: The planet is 7.65 times more massive than Earth, so it has a mass, Mplanet = 4.57×1025 kg The planet is 1.97 times larger than Earth, so it has a radius, Rplanet = 1.26x107 m Information about your professor: He has a weight on Earth of 195 pounds, meaning he has a mass, Mprof = 88.5 kg Other key information: Newton's gravitation constant, G = 6.67x10-11 N·m²/kg² Conversion from pounds [lb] to Newtons [N]: 1.00 lb = 4.45 N Newton's Law of Gravity: (can be found on page 87 in Sect. 4.1) Your professor's weight, F, in units of pounds, on this alien super-Earth would be: F = lbs [Remember, only round off your calculator display once you have a final answer in pounds. Do NOT round off at intermediate steps or your answer can "drift" away from the correct value. If you want to enter your value in scientific notation, first type the mantissa into the box and then type an "e" and a new box will appear in which to enter the exponent on the power of ten.]