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Block A in the figure (Figure 1) has a mass of 3.50kg , and block B...

Block A in the figure (Figure 1) has a mass of 3.50kg , and block B has mass 12.0kg . The coefficient of kinetic friction between block B and the horizontal surface is 0.35.

A) What is the mass of block C if block B is moving to the right and speeding up with an acceleration 3.00m/s2 ?

B) What is the tension in each cord when block B has this acceleration?Block A in the figure (Figure 1)&nb

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Answer #1

frictional force between B and surface is

f =\mu Mbg

net force is given by

Fnet =Mcg -Mag -f

Fnet = (Ma+Mb+Mc)a

g(Mc-Ma-\mu Mb) = (Ma+Mb+Mc)a

Ma = 3.5 kg

Mb =12.0 kg

a = 3.0 m/s2

plugging in and solving we get Mc = 17.94 kg

b) Tc = Mc(g-a) = 122N

Ta = Ma(a+g) = 44.8 N

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