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

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.
Here
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.
Want to see more full solutions like this?
Chapter 10 Solutions
Physics, Volume One: Chapters 1-17
- Pls help asaparrow_forward3. If the force of gravity stopped acting on the planets in our solar system, what would happen? a) They would spiral slowly towards the sun. b) They would continue in straight lines tangent to their orbits. c) They would continue to orbit the sun. d) They would fly straight away from the sun. e) They would spiral slowly away from the sun. 4. 1 The free-body diagram of a wagon being pulled along a horizontal surface is best represented by A F N B C 0 Ꭰ FN E a) A b) B c) C app app The app 10 app d) e) ס ח D E 10 apparrow_forwardPls help ASAParrow_forward
- Pls help asaparrow_forwardPls help asaparrow_forwardThe acceleration of an object sliding along a frictionless ramp is inclined at an angle 0 is 9. a) g tano b) g cose c) g sino 10. d) g e) zero A 1.5 kg cart is pulled with a force of 7.3 N at an angle of 40° above the horizontal. If a kinetic friction force of 3.2 N acts against the motion, the cart's acceleration along the horizontal surface will be a) 5.0 m/s² b) 1.6 m/s² c) 2.4 m/s² 11. d) 1.0 m/s² e) 2.7 m/s² What is the net force acting on an object with a mass of 10 kg moving at a constant velocity of 10 m/s [North]? a) 100 N [North] b) 100 N [South] 10 N [North} d) 10 N [South] e) None of these.arrow_forward
- Modified True/False - indicate whether the sentence or statement is true or false. If the statement is false, correct the statement to make it true. 12. An object in uniform circular motion has a constant velocity while experiencing centripetal acceleration. 13. An object travelling in uniform circular motion experiences an outward centrifugal force that tends to pull the object out of the circular path. 14. An object with less inertia can resist changes in motion more than an object with more inertia. 15. For an object sliding on a horizontal surface with a horizontal applied force, the frictional force will always increase as the applied force increases.arrow_forwardPls help asaparrow_forwardAnswer the given question showing step by step by and all necessary working out.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON





