A solid sphere and a hollow spherical shell, both of mass in and radius r are rolling on a horizontal surface without slipping. They have the same (translational ) speed Vhor. They arrive at an inclined plane which is filled by an angle I with respect to the horizontal surface . They continue to roll, up the incline . In the following neglect any energy losses due to friction. sphere ( Isold = 2 MR2 , I spherid = 2 MR 2 ) shell 1 ) ITIF , y ] The solid sphere and hollow sphere have the same kinetic energies when they just reach the incline . (hint: how do their roth ICE's compare ) 2 ) [TIF, 2 ] They have the same potential energies at their maximum heights hmax [hint. compare their fatal mechanical energies] 3 ) [T/F, 4 ] They reach different maximum heights hmay . [hint : use your result for 2 ) ] 4 ) [T/F, 1/2 ] In the absence of friction between the spheres and the surface, if the speeds of both spheres on the horizontal surface were the same as above , ie V hors the maximum height reached by each sphere would decrease .In the next few parts you will work out expressions for various quantities in terms d, m, ", and Vhor . 5 ) [ JAF, 1/2 ] The rotational kinetic energy of the solid sphere on the horizontal surface satisfies KEnot= muher 6) [TIF, 12 1 The total mechanical energy of the spherical shell satisfies ME = 2 myhar Chint : what is the total KE before the incline is reached) 7 ) [THF, 1/2 ] The maximum vertical height reached by the spherical shell satisfies h max = - 6 9 : Vhar ( host =use cansun of energy ) 8 ) IT/F , ' 2 ] The speed of the solid sphere at a vertical height h (smaller than it's maximum height ) satisfies VCat h) = JVher - 7gh TO ( hint : take into account the loss o KE to PE )