Physics, Volume One: Chapters 1-17
Physics, Volume One: Chapters 1-17
10th Edition
ISBN: 9781118836880
Author: John D. Cutnell, Kenneth W. Johnson
Publisher: WILEY
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Chapter 10, Problem 2FC
To determine

The graph that correctly represents the restoring force F as a function of the displacement x.

Expert Solution & Answer
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Answer to Problem 2FC

The graph provided in option (c) correctly represents the restoring force F as a function of the displacement x.

Explanation of Solution

Description:

Write the expression for the restoring force of an ideal spring.

Fx=kx (1)

Here

Fx is the restoring force,

k is the spring constant, and

x is the displacement.

From Expression (1), it is observed that the restoring force is always in a direction opposite to the displacement of the spring. That is, if the value of restoring force is positive, the displacement value must be negative.

In graph (c), the displacement value is positive whenever the force is negative and the displacement is negative whenever the force is positive. Hence option (c) is correct.

In graph (a), the both displacement and force have same sign. Hence, the option (a) is incorrect.

In graph (b), the force value is positive for both positive and negative values of the displacement. Hence, the option (b) is incorrect.

In graph (d), the force value is negative for both positive and negative values of the displacement. Hence, the option (d) is incorrect.

In graph (e), the displacement value is negative for both positive and negative values of the force. Hence, the option (e) is incorrect.

Conclusion:

Thus, the graph provided in option (c) correctly represents the restoring force F as a function of the displacement x.

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Chapter 10 Solutions

Physics, Volume One: Chapters 1-17

Ch. 10.4 - Prob. 11CYUCh. 10.4 - Prob. 12CYUCh. 10.4 - Prob. 13CYUCh. 10.4 - Prob. 14CYUCh. 10.5 - 15. The shock absorbers on a car are badly in need...Ch. 10.6 - Prob. 16CYUCh. 10.7 - 17. Young’s modulus for steel is greater than that...Ch. 10.7 - Prob. 18CYUCh. 10.7 - Prob. 19CYUCh. 10.7 - Prob. 20CYUCh. 10.8 - Prob. 21CYUCh. 10 - Prob. 2FCCh. 10 - 3. You have two springs. One has a greater spring...Ch. 10 - 4. An object is oscillating in simple harmonic...Ch. 10 - 11. The kinetic energy of an object attached to a...Ch. 10 - Prob. 13FCCh. 10 - Prob. 14FCCh. 10 - Prob. 16FCCh. 10 - Prob. 17FCCh. 10 - Prob. 18FCCh. 10 - Prob. 20FCCh. 10 - 1. A hand exerciser utilizes a coiled spring. A...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - 4. A spring lies on a horizontal table, and the...Ch. 10 - Prob. 5PCh. 10 - 6. A spring (k = 830 N/m) is hanging from the...Ch. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - 25. A pen contains a spring with a spring constant...Ch. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - 36. A spring is resting vertically on a table. A...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - 43. A simple pendulum is made from a 0.65-m-long...Ch. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - 48. Multiple-Concept Example 11 explores the...Ch. 10 - Prob. 49PCh. 10 - 50. A small object oscillates back and forth at...Ch. 10 - Prob. 51PCh. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - 59. Two metal beams are joined together by four...Ch. 10 - Prob. 60PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63PCh. 10 - Prob. 64PCh. 10 - Prob. 65PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 69PCh. 10 - Prob. 70PCh. 10 - Prob. 71PCh. 10 - 72. A 6.8-kg bowling ball is attached to the end...Ch. 10 - Prob. 73PCh. 10 - Prob. 74APCh. 10 - Prob. 75APCh. 10 - Prob. 76APCh. 10 - Prob. 77APCh. 10 - Prob. 78APCh. 10 - Prob. 79APCh. 10 - Prob. 80APCh. 10 - Prob. 81APCh. 10 - Prob. 82APCh. 10 - Prob. 83APCh. 10 - Prob. 84APCh. 10 - Prob. 85APCh. 10 - Prob. 86APCh. 10 - Prob. 87APCh. 10 - Prob. 88APCh. 10 - Prob. 89APCh. 10 - Prob. 91AP
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