The force of gravity (outside the Earth) attracting a mass m is proportional to the mass m and inversely proportional to the square of the distance from the centre of the Earth. Find the work done in moving a mass that weighs 1 lb at the surface of the Earth to 10 miles above the surface. Assume the radius of the Earth is 4,000 mi. At the Earth's surface, a force of 1 lb is required to lift a mass of 1 lb.
◦ 51,420 ft ∙ lb
◦ 52,668 ft ∙ lb
◦ 48,193 ft ∙ lb
◦ 50,327 ft ∙ lb
◦ none of the above