Answered by AI, Verified by Human Experts
If you were to take an elevator from the ground floor, where youweight469N, to the top of the building, your weight would shift by -0.237 N.Theequation for accelerationin this case is;a = GM/r²Where;G is gravitational constant = 6.67 × 10⁻¹¹ m³/kg.s²M is mass of earth = 5.972 × 10²⁴ kgr isdistancefrom center of earthSince we are trying to find change in weight, let us first find the change in acceleration with respect to r;da/dr = -2GM/r³da = -(2GM/r³) drThus, change in weight from top to bottom is;W_top - W_bottom = m(da)Now, weight at bottom is gotten from the formula;W_bottom = GmM/r²Also, W_bottom = m(da) since we are dealing with change in weight.Thus;m(da)= -(2GmM/r³) drRecall that GmM/r². Thus;m(da) = -2W_bottom × dr/rwhere;W_bottom = 469 Nr is radius of earth = 6371000 mdr = 1 mile = 1609.34 mThus;m(da) = -2 × 469 × 1609.34/6371000m(da) = -0.237 NTo know more aboutweightvisit:brainly.com/question/10069252#SPJ4...