Block A in Figure (14.36) (see: http://www.carbosoft.com/1464.jpg
) hangs by a cord from a spring balance D and is submerged in a liquid C contained in a beaker B. the mass of the beaker is 1.00kg; the mass of the liquid is 7.80kg. Balance D reads 3.50kg and balance E reads 13.5kg. Whe volume of the block A is 3.80 x 10^(-3) m^3.
a) what is the density of the liquid?
b) what will each balance read if block is pulled up out of the liquid?
I'm not sure how to do this problem, I would like to get the answer on my own, i'm not sure how to start it. I've created a free body diagram for the block a and found that T + B - mg = 0, T - tension, B - bouyancy. Not sure what to do here, also i know that B = (density of liquid)(volume of object)(gravity constant), How do I figure out the tension? I've assume its 9.8m/s/s * 3.5kg? Also I do not know the mass or density of the object A, I only know its volume...not really sure how to proceed.
For part (b) i'm assuming at this point that the balance E will decrease by 3.5kg? Also i'm going to predict that D will show the true mass of object A. Again both predictions not sure how to start.