2 F = v ex, Consider N objects of masses ma (1 a N) located at the cylindrical coordinates (ra, Ya, Za). These particles revolve around the z-axis with angular velocity w. Show that (a) the -component of the velocity of the ath object is given by v = raw; (b) the z-component of the angular momentum of the ath object is given by 1 (a) = marw; (c) the z-component of the total angular momentum can be written as where Lz = Iw, (2.89) I = N =1 (2.90) (a) the car travels the distance L at constant velocity v; (b) the car constantly accelerates until it reaches its maximal velocity at distance L/2 and then decelerates until its velocity is 0 at L. Here we assume that the magnitudes of acceleration and deceleration coincide.