one | By S. Kadakia Astronomy 1L - Long Beach City College - Prof. Amy C. Fredericks Let's put it all together! Now that you have had practice, let's apply all this information to a real astronomical problem. We step on a scale to weigh ourselves all the time, but how is our weight actually calculated? There is a very simple formula: F = G Mplanetmperson d2 where d is the distance from the center of the planet to the person in meters, Mplanet is the mass of the planet in kilograms, mperson is the person's mass in kilograms and G is the gravitational CONSTANT which has a value of 6.67 x 10-11 and F, a force, is the weight of the person in units of Newtons. 35. Find the weight of a person who has a mass of 50 kg while standing on Earth. Your answer will be in units of Newtons. (Earth's mass is 5.97 x 1024kg and the radius is 6,731,000 m). 36. If this person went to Jupiter, would their weight change? 37. Jupiter has a mass of 1.9 x 1027kg and a radius of 69,911,000 m. Find the person's weight if they were standing on Jupiter. 38. Mercury has a mass of 3.28 x 1025kg and a radius of 2,440,000 m. Find the person's weight if they were standing on Mercury. F 39. 1 Newton = 0.225 pounds. Find the person's weight in pounds on Earth, Jupiter and Mercury. Earth = pounds Jupiter = pounds Mercury = pounds 40. Find the person's average weight in pounds. 6 | Page