Suppose an object has a string or cable with constant tension T attached as shown. The for...

Suppose an object has a string or cable with constant tension T attached as shown. The force exerted on the object can be expressed in terms of polar coordinates as F = –Ter Show that the work done on the object as it moves along an arbitrary plane path from a radial position r1 to a radial position r2 is U12 = –T(r2 – r1).