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9. There are two weights of the same m pulley. The There is another weigh The st

ID: 2032686 • Letter: 9

Question

9. There are two weights of the same m pulley. The There is another weigh The string except the part around the pulley is stretched vertically. We eventually release the pulley. What is the speed at which the lower right weight hits the floor? Neglect the mass of both the string and the pulley, deformation of the string by tension, and ass of 1.00 kg attached to a string looped over a braked e left weight is lying on the floor, the right one is suspended 1.50 m above the floor t of mass 0.500 kg attached to the string 25.0 cm above the right weight. friction. btp //phyicst anks eu (25)

Explanation / Answer

using conservation of energy

initial total potential energy = final potential energy + final kinetic energy

M g h1 + mg (h1 + d) = M g h1 + m g d + (0.5) (M + M + m) v2

mg (h1 + d) = m g d + (0.5) (2M + m) v2

(0.5) (9.8) (1.5 + 0.25) = (0.5) (9.8) (0.25) + (0.5) (2(1) + (0.5)) v2

v = 2.4 m/s