Jane goes to a juice bar with her friend Neil. She is thinking of ordering her favorite drink, 7/8 orange juice and 1/8 cranberry juice, but the drink is not on the menu, so she decides to order a glass of orange juice and a glass of cranberry juice and do the mixing herself. The drinks come in two identical tall glasses; to avoid spilling while mixing the two juices, Jane shows Neil something she learned that day in class. She drinks about 1/8 of the orange juice, then takes the straw from the glass containing cranberry juice, sucks up just enough cranberry juice to fill the straw, and while covering the top of the straw with her thumb, carefully bends the straw and places the end over the orange juice glass. After she releases her thumb, the cranberry juice flows through the straw into the orange juice glass. Jane has successfully designed a siphon.(adsbygoogle = window.adsbygoogle || []).push({});

Assume that the glass containing cranberry juice has a very large diameter with respect to the diameter of the straw and that the cross-sectional area of the straw is the same at all points. Let the atmospheric pressure be p_a and assume that the cranberry juice has negligible viscosity.

Consider the end of the straw from which the cranberry juice is flowing into the glass containing orange juice, and let h_0 be the distance below the surface of cranberry juice at which that end of the straw is located: View Figure: http://session.masteringphysics.com/problemAsset/1003174/23/137431.jpg . What is the initial velocity v of the cranberry juice as it flows out of the straw? Let g denote the magnitude of the acceleration due to gravity.

Express your answer in terms of g and h_0.

I am somewhat lost in starting this problem, but I know that Bernoulli's equation of p + (1/2)rho*v^2 + rho*g*y = constant..

I tried doing:

p + (1/2)rho*v^2 + rho*g*d = p + (1/2)rho*v^2 + rho*g*(h_0 - d)

but this didnt get me anywhere.

please help

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# Homework Help: Bernoulli's Equation of juice

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