A spherical shell has an outside radius of 2.40 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.52 g/cm3. The space inside the shell is filled with a liquid having a density of 1.27 g/cm3. (a) Find the mass m of the sphere, including its contents, as a function of a. m = g (b) For what value of a does m have its maximum possible value? a = cm (c) What is this maximum mass? m = g
A spherical shell has an outside radius of 2.40 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.52 g/cm3. The space inside the shell is filled with a liquid having a density of 1.27 g/cm3. (a) Find the mass m of the sphere, including its contents, as a function of a. m = g (b) For what value of a does m have its maximum possible value? a = cm (c) What is this maximum mass? m = g
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.67AP: A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its...
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A spherical shell has an outside radius of 2.40 cm and an inside radius of a. The shell wall has uniform thickness and is made of a material with density 4.52 g/cm3. The space inside the shell is filled with a liquid having a density of 1.27 g/cm3.
(a) Find the mass m of the sphere, including its contents, as a function of a.
m =
g
(b) For what value of a does m have its maximum possible value?
a =
cm
(c) What is this maximum mass?
m =
g
(d) Explain whether the value from part (c) agrees with the result of a direct calculation of the mass of a solid sphere of uniform density made of the same material as the shell.
(e) Would the answer to part (a) change if the inner wall were not concentric with the outer wall?
Yes
No
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