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A van drives at constant speed to the right. A partially filled rectangular fish

ID: 1849235 • Letter: A

Question

A van drives at constant speed to the right. A partially filled rectangular fish aquarium of dimension L sits in the back of the van. with initial water height h0. Upon seeing a red stop light ahead, the driver applies the brakes, and the water shifts to the front as sketched. The acceleration vector a rightarrow is to the left and is constant (the car decelerates at a constant rate). During the deceleration, the height of the water at the front (right side) of the tank is 7h0/6, as indicated on the sketch. Ignoring any sloshing of the water, generate an expression for the magnitude of the deceleration a as a function of g. h0. and L. For the case in which h0 = L/3, calculate a in units of m/s2 to three significant digits. Generate an expression for the gage pressure at point A for both cases (top and bottom sketches) as a function of g, h0, and water density rho.

Explanation / Answer

The angle of rise (tan theta) = h/3L also is L >>h, then tan theta = theta we know, tan theta here = a/g so a = gh/3L b)if h = L/3 a = g / 9 = 1.09 m/s^2

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