Each part if possible

Consider a central force where is: and n are constants. a. If there is no other force in the problem, prove that the angular momentum L = r x p is constant. Show that, in polar coordinates, the magnitude can be exprmsed as L = mil-\"w, where w E i What is the direction of L? b. In polar coordinatm, the velocity Y can be expressed as _dr_d{rr)_d_r, .. v-dt dt "d:r+r\"9' Use this to derive an expression for the total energyr E as a function of r and %, c. The radial component of the acceleration in polar coordinates is given by a,=-rwr. Show that this can be expressed in terms of u E 1 f r as: 231.:2 dun Lana r=___ m2 d9? m1 ' Use this to determine 11(3) for the case where n = 3