Gravity at Different Heights

An asteroid is captured in space by a shuttle crew, looking for rare earth metals. The shuttle is orbiting earth at an altitude of \(h = {{ params.h }} \ \rm{mi}\) above the surface of the earth. When the crew weighs the asteroid, it comes up as \(W = {{ params.W }}\) \(\rm{lb}\). Take the radius of the earth to be \(R\_{earth} = 3,959 \ \rm{mi}\). \(1 \ \rm{slug} = 14.59 \ \rm{kg}\)

Part 1

What is the mass of the asteroid in \(\rm{kg}\)?

Answer Section

Please enter in a numeric value in \( m{m/s^2}\).

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.