Neglecting air resistance and the weight of the propellant, the work done in propelling a satellite of a given weight to a given height above Earth can be determined. Determine the equation for the force F(x) exerted by gravity on the satellite, where C is the constant of proportionality. F(x) = If the satellite weighs five tons, determine the value of C. (Use 4,000 miles as the radius of the Earth.) C = Neglecting air resistance and the weight of the propellant, determine the work done in propelling a five-ton satellite to the following heights. (Use 4,000 miles as the radius of Earth. Round your answers to one decimal place.) (a) 100 miles above Earth 487.8 mi-ton (b) 300 miles above Earth mi-ton

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