For this problem, assume that the earth is a perfect sphere. Also, assume that if your mass is m, then the earth exerts a gravitational force on you of magnitude mg, where g = 9.8 m/s2 at all points of the earth's surface. a) Your mass is m = will the scale read? (Thanks to the Third Law, this is the same as asking for the normal force exerted on you by the scale.) b) Next you go to the Equator and stand on a scale. What does it read? The radius of the earth is 6.4 × 106 m. c) Suppose the earth were rotating so quickly that objects became “weightless" at the equator. How long would the day be? 50 kg. If you are standing on a scale at the North Pole, what

For this problem, assume that the earth is a perfect sphere. Also, assume that if your mass is m, then the earth exerts a gravitational force on you of magnitude mg, where g = 9.8 m/s2 at all points of the earth's surface. a) Your mass is m = will the scale read? (Thanks to the Third Law, this is the same as asking for the normal force exerted on you by the scale.) b) Next you go to the Equator and stand on a scale. What does it read? The radius of the earth is 6.4 × 106 m. c) Suppose the earth were rotating so quickly that objects became “weightless" at the equator. How long would the day be? 50 kg. If you are standing on a scale at the North Pole, what