Question

PART C PLEASE

Problem 13.54 © 5 of 7 ~ m Review | Constants 1 Periodic Table You fill a 34-cm-tall container with glycerol so that the glycerol (density 1260 kg/mº) reaches the 17-cm mark. You place an oak cube (density 900 kg/m) into the container. Each side of the cube is 17 cm. Part B Make a prediction using qualitative reasoning (without mathematics) about what will happen to the cube in part A if you now add olive oil (density 800 kg/m') to the container until it is completely full. Will the distance x decrease, increase, or stay the same? o The distance a will decrease. The distance will increase. O The distance x will remain the same. O The prediction cannot be made without additional data. Submit Previous Answers ✓ Correct Part C Determine the new distance x' from the upper face of the cube to the glycerol surface using mathematics (physics laws) and compare your result with the prediction in part B. Express your answer with the appropriate units.

Answer 1

ρ_c a^3 g = ρ_o a^2 x g + ρ_g a^2 (a - x) g

900 a^3 g = 800 a^2 x g + 1260 a^2 (a - x) g

900 a = 800 x + 1260 a - 1260 x

X = 0.783 a

X = 0.783 x 17 = 13.31 cm

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