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In a lecture demonstration, a professor pulls apart two hemispherical, steel she

ID: 1297689 • Letter: I

Question

In a lecture demonstration, a professor pulls apart two hemispherical, steel shells (diameter D) with ease using their attached handles. She then places them together, pumps out the air to an absolute pressure of p, and hands them to a bodybuilder in the back row to pull apart.

If atmospheric pressure is p0, how much force must the bodybuilder exert on each shell?

Express your answer in terms of the given quantities.

Evaluate your answer for the case p=0.025atm, D=10.0cm.

Express your answer using two significant figures.

Explanation / Answer

A.

F = Pressure*Area = p*pi*(D/2)^2

B. F = (1-0.025)*101125*3.14*(5*10^-2)^2 = 773.98 = 774 N

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