You are in a spaceship (mass m) orbiting earth in a circular orbit at radius r. you need to complete a spacewalk to investigate possible damage on the ship from collision with debris in orbit. your intention is to tether yourself to the ship with a cord of length l, such that the cord is taut and the ship is between you and the earth (this way, you can get a good look at the damage). you have a mass of m. we will find an expression for the minimum tension needed to keep you tethered to the ship. (a) write f = ma for the ship. write f = ma for you while on your spacewalk (b) given that you and the ship both orbit the earth in the same time period, find a relation between your linear speed and the ship's. (c) find an expression for the tension in terms of the variables given. (d) (optional) simplify the result under the assumptions that i