PHYS-111-03 College Physics I Homework Circle your workshop section: o3L1 (1:00

Question

PHYS-111-03 College Physics I Homework Circle your workshop section: o3L1 (1:00 AM-12:50 PM 03L2 (200-450 PM) You MUST SHow ALL woRK IN ORDER TORECEIVE ANY cREDIT.A clear, neat, written solution is 1. The pictured U-tube is open to ---Esu---- the atmosphere at both ends. Assume that the mystery fluid does not mix with the mercury. Mercury (Hg a) For the situation shown in the Mystery Liquid figure, which is true, b) Let pon represent atmospheric pressure, represent the density of mercury, and p represent the density of the mystery fluid. Derive an algebraic expression for the density of the mystery fluid in terms of some or all of the following: ht, h, h, and pHe c) If hi- 2.55 cm, hez 25.00 cm (clearly the figure is not to scale) and the absolute pressure at Point A is 114 kPa, what is the height hi? Use pam 101 kPa. Point A is located at the very bottom of the U-tube. Page 1 of

Explanation / Answer

(a) since, Height of mystery liquid is more than height of mercury

so,  mercury is heavier than  mystery

so, rhol<rhoHg .....(answer)

(b) Now, pressure at height H3 , will be same both sides,

so, Patm + rhol= Patm+ rhoHg*g*h2

so, rhol =   rhoHg*h2/((h1+h2)) ..................(answer)

(c)

Pa=P0+rhoHg*g*(H1+h3)

114000=101000+13600*9.81(0.0255+h3)

h3= 7.20cm ...................(answer)

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