Two blocks are connected by a cable and pulley system as shown in the sketch bel
ID: 2189755 • 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?
Show steps, soultions and work (equations etc) needed to solve problem. Thanks!
Explanation / Answer
for block B a=2T/m=2x58.86/12=9.81 for block A T=mg T=6x9.81=58.86 A) 0.5mv^2=mgh v^2=gh/0.5=9.81x8/0.5 v=12.52 m/s b) 2as=u^2 s=u^2/2a=5^2/2x9.81=1.27 m