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Chapter 1: Q51P (page 393)

In a lecture demonstration, a professor pulls apart two hemispherical steel shells (diameter) with ease using their attached handles. She then places them together, pumps out the air to an absolute pressure of, and hands them to a bodybuilder in the back row to pull apart. (a) If atmospheric pressure is , how much force must the bodybuilder exert on each shell? (b) Evaluate your answer for the case, P=0.025atm,D=10.0cm

Short Answer

Expert verified

(a)P0-P蟺D24(a)

(b)776 N

Step by step solution

01

Given information:

P=0.025atm,D=10.0cm

02

Concept/Formula used:

F = PA

Where,

P Is pressure and

A Is s the cross-sectional area

03

Force exerted by bodybuilder

Fbb(a) Force exerted by bodybuilder must equal in magnitude the net force on each hemisphere due to the air inside and outside the sphere.

Fbb=螖PA=p0鈭�p蟺D24

(b)

Fbb=螖笔础=1.013脳105Pa/atm(0.975atm)蟺10脳10鈭�224=776N

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