(a)
The expression for the final length of the rod.
(a)
Answer to Problem 77CP
The expression for the final length of the rod is
Explanation of Solution
Write the equation for the elementary change in length.
Here,
Conclusion:
Rearrange the equation (I) and integrating both sides.
Rewrite the expression for
Here,
Thus, the expression for the final length of the rod is
(b)
The error because of approximation.
(b)
Answer to Problem 77CP
The error because of approximation is
Explanation of Solution
Write the expression for the error due to approximation.
Write the equation for final length.
Write the equation for final length with approximation.
Here,
Rewrite the expression for the error due to approximation.
Conclusion:
Substitute
Thus, the error because of approximation is
(c)
The error because of approximation.
(c)
Answer to Problem 77CP
The error because of approximation is
Explanation of Solution
Write the expression for the error due to approximation.
Write the equation for final length.
Write the equation for final length with approximation.
Here,
Rewrite the expression for the error due to approximation.
Conclusion:
Substitute
Thus, the error because of approximation is
(d)
Solve problem 21 with more accurate result.
(d)
Answer to Problem 77CP
Part (a)
The amount of turpentine overflows is
Part (b)
The remaining amount of turpentine in the cylinder is
Part (c)
The distance below the cylinder’s rim is
Explanation of Solution
Write the expression for the final volume for turpentine.
Here,
Write the equation for final volume for the aluminium.
Here,
Write the equation for amount of turpentine overflows.
Here,
Rewrite the expression for the amount of turpentine overflows.
Write the expression for the remaining amount of turpentine in the cylinder.
Here,
Write the expression for the height below the cylinder’s rim.
Here,
Conclusion:
Part (a)
Substitute
Thus, the amount of turpentine overflows is
Part (b)
Substitute
Thus, the remaining amount of turpentine in the cylinder is
Part (c)
Substitute
Thus, the distance below the cylinder’s rim is
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Chapter 19 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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