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Answer to Question #72345 in Mechanics | Relativity for jojo

Question #72345
A solid iron rectangular block of dimensions 127x52x15 mm and a density of 7860 kg/ m3 is suspended in
brine solution. When the iron block is completely immersed in the solution.Determine
i) the upthrust on the Iron block
ii) tension in the supporting cable
Expert's answer
The volume of the block is 127 X 52 X 15 mm^3
=0.127 × 0.052 × 0.015 m^3
=9.906 × 10^-5 m^3

Again density of the block was = 1786 kg/m^3
Therefore the mass of the block will be = 9.906 ×10^-5 ×1786 kg
=0.1769 kg

Again , the density of saturated brine solution at room temperature = 1202 kg / m^3

i) The upthrust will be = volume of displaced liquid × density of the liquid × g
= 9.906 × 10^-5 × 1202 x 9.8 N
=1.167 N
ii) tension of the supporting thread is
= Weight of the block - upthrust
= 0.1769 × 9.8 - 1.167 N
= 1.734 - 1.167 N
= 0.033 N

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