Explanation Given data: Length of the spring in a retractable ballpoint pen ( L ) is 1.8 cm. Spring constant of the spring ( k ) is 300 N m . The spring is compressed by 1.0 mm when the pen is retracted. The spring is compressed additionally by 6.0 mm to extend the pen. That is, the total compression length of the spring to extend the pen ( x ) is 7.0 mm ( ∵ 1.0 mm + 6.0 mm = 7.0 mm ) . Formula used: Refer to the equation (10.16) in the textbook, and modify the expression for energy required to extend the pen as follows. U = 1 2 k x 2 (1) Here, k is the spring constant, and x is the length of the spring compression. Explanation: Calculation of energy required to extend the pen ( U ) : Substitute 300 N m for k , and 7.0 mm for x in equation (1), U = 1 2 ( 300 N m ) ( 7

4th Edition

ISBN: 8220106755235

Author: Field

Publisher: PEARSON

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Question

Chapter 10, Problem 26P

To determine

To find: The energy required to extend the pen.

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