Two blocks are connected by a cable and pulley system as shown in the sketch bel
ID: 1850462 • Letter: T
Question
Two blocks are connected by a cable and pulley system as shown in the sketch below. Neglect friction and the weight of the cable. Block B slides on the smooth surface. Block A has a mass of 6 kilograms, and Block B has a 12 kilogram mass. a. Use the principle of conservation of energy to determine the velocity of Block A when it has moved a distance of 8 meters after being released from rest. b. Suppose Block B has an initial velocity of 5 m/s to the left. How far will it travel before it stops?
2. Two blocks are connected by a cable and pulley system as shown in the sketch below. Neglect friction and the weight of the cable. Block B slides on the smooth surface. Block A has a mass of 6 kilograms, and Block B has a 12 kilogram mass. a. Use the principle of conservation of energy to determine the velocity of Block A when it has moved a distance of 8 meters after being released from rest. b. Suppose Block B has an initial velocity of 5 m/s to the left. How far will it travel before it stops?Explanation / Answer
(a)
consider velocity of A is v
then velocity B is v/2
now loss in potential energy = gain in KE
=> Magh = (1/2)Mav2 + (1/2)Mb(v/2)2 =>
=> v = 11.2m/s.