A student tries to raise a chain consisting of three identical links. Each link

Question

A student tries to raise a chain consisting of three identical links. Each link has a mass of 280 g . The three-piece chain is connected to a string and then suspended vertically, with the student holding the upper end of the string and pulling upward. Because of the student's pull, an upward force of 16 N is applied to the chain by the string. Use Newton's laws to answer the following questions.

Part A

Find the acceleration of the chain.

m/s^2

Part B

Find the force exerted by the top link on the middle link.

n

Explanation / Answer

tension in the string = T = 16 N

gravitational force acting down = Fg = 3*m*g = 3*0.28*9.8 = 8.232 N

net force Fnet = T-Fg

from newtons law = Fnet = M*a = 3m*a

T-Fg = 3*m*a

a = (T-Fg)/3m

a = (16-8.232)/(3*0.28)

a = 9.25 m/s^2 <<<<----answer

part(B)

force exerted by the top on the middle = F

gravitational acting below the top = 2*m*g

Fnet = F - 2mg = 2m*a

F = 4*m*g*a

F = 4*0.28*9.25 = 10.36 N <<<---------answer

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