Question

2. (8 points) A greasy pig slides without friction across a horizontal floor with an unknown speed vo. Later on, the pig starts sliding up an incline and reaches a height of 12 cm above the floor before sliding down again. In addition, a disk, with rotational inertia I = MR, rolls without sliding across the same horizontal floor with speed vo and then up the same incline. Use energy considerations to obtain the height reached by the disk above the floor. A. 24 cm B. 18 cm 12 cm C. 12cm D 8 cm DISK el PIG

Answer 1

12 cm 1. 2 let mass of greasy pig bem → Using conservation q energy but honsontal point (A) and highest point A reached on incline (B) KA + VA = Kg+UB Ź my² + 0 = 0+ mgn. » No = vagn where h=12 cm - li low consider the case of disc Total energy q duc at honsontal surface is K Total Achot + Karaus = 1 0 + 1 Mv Ktotal, A = £ MAY ( 1 ) + 12 Mus? f for pure rollery VE WOR O = maka * now using conservation q energy KATUA = ICB+UB & m² = my h * - r = fusing (1) r = 14 x 22h - ¢ ¢ un g = Vagn { Þ= 2h-2x12 cm = 18 cm si corect option is B) 18em