Express your answer using two significant figures. Calculate the acceleration of

Question

Express your answer using two significant figures. Calculate the acceleration of each box and the tension at each end of the cord, using the free-body diagrams shown in the figure (Figure 1). Assume -E_p =35.0 N, and ignore sagging of the cord. Caption: Free-body diagrams for each of the objects of the system shown in the figure. Vertical forces, F_n and F_G are not shown. Express your answer using two significant figures. Suppose two boxes on a frictionless table are connected by a heavy cord of mass 1.0 kg. Express your answer using two significant figures.

Explanation / Answer

A.

there is only one force which is accelerating, that is Fp

So using newton's second law:

Force = mass*acceleration

Fp = Total mass*a

a = Fp/Mt = 35/(12 + 1 +10)

a = 1.521 m/sec^2

all the acceleration will be same, so

aA = aB = aC = 1.521 m/sec^2

B.

Now on the left box using force balance

FBT = mB*aB

FBT = 12*1.521 = 18.252 N

this force will be equal to the force FTB

C.

using force balance on rope

FAT - FTB = mC*aC

FAT = FTB + mC*aC

FAT = 18.252 + 1*1.521 = 19.773 N

this force will be equal to the force FTA

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