In order to calculate the weight of an object sitting on the earth’s surface, one would use the following formula: fg = gmem r 2 where g = 6.674 × 10−11 m3 kg s2 is the universal gravitational constant, me = 5.97 × 1024 kg is the mass of the earth (also a constant), r is the radius of the earth at the object’s location (measured in m), and m = the mass of the object (measured in kg). calculate your weight (to the correct number of significant figures) using this formula if your mass is 9.01 × 104 g and the radius of the earth at the object’s location is 6.382 × 106 m. use unit algebra to express the unit for weight as some combination of the metric system’s standard units for mass, length, and time.