Two balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down an frictionless incline. They start together from rest at the top.
a) Which one will have more K.E.?
b) Which one will reach the bottom first or in other words which one has greater velocity?
(Hint: KR = ½ I ω2 and KT = ½ m v2 and v=rω and I=2/5 mr2 ; K.E. = KR + KT and K.E. = P.E.) Please show calculations for each part and clearly explain.
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