Needed constants: 99 = 9.3E R = 6.4- x 106 m, 5.1 = 7.3 x 19531 52' s 1: Imagine holding something of mass m = 2 kg over the edge of the roof of a building in Detroit, Michigan, at a height of 30m above the ground. |n grade school physics fie. ignoring all pseudoforces, and air resistance}, how long roughly will it take for the object to hit the ground after being dropped, and what is its velocity just before that? While you still hold the object, you notice that the force on the mass from \"gravity\" does not point straight down towards the center ofthe earth. Estimate the magnitude and direction of the downward force on the object {in Detroit). You then drop the object. An inertial observer will see you dropping it in gravity while you were also being aocelerated [because you are attached to the rotating earth], while OTGH you don't know you're rotating but you see the object fall not straight down, reflecting some \"additional\" forces besides gravity that you can't explain! But then you took PHYSEBO! Write the 3 equations of motion for the mass {in x, y, and z in your frame in Detroit, respectively, with your local coordinate system having 1: east, y north, and z upwards away from the ground}. 2: A long-range gunner knows that he needs to aim left of the target to hit it when he's in the northern hemisphere, but he has never understood why this is true no matter what direction on the earth he is facing [i.e. north, south, east, or west according to his perspective on the surface ofthe earth}. Pick a location in the northern hemisphere {how about Detroit\