**Problem Description:**An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it, the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. While the spring is being extended by the force, the work done by the spring is:**Options:**a) 3.6 Jb) -3.4 x 10^-5 Jc) -3.3 Jd) 3.3 Je) -3.6 J**Explanation:**The question involves calculating the work done by a spring as it is extended by an external force. When an external force is applied to a spring, the work done by the spring is typically calculated using Hooke's Law and the work-energy principle. The options given represent potential values of work, some positive and some negative, indicating directionality of force and displacement. This multiple-choice question tests understanding of the physical principles governing elastic potential energy and work done by forces.

Answered: Image /qna-images/answer/4fe8d4b0-04d2-42a6-a18e-141fc5e50a43.jpg

An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. While the spring is being extended by the force, the work done by the spring is: a) 3.6 J b) -3.4 x 10-5 J c) -3.3 J d) 3.3 J e) -3.6 J

An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. While the spring is being extended by the force, the work done by the spring is: a) 3.6 J b) -3.4 x 10-5 J c) -3.3 J d) 3.3 J e) -3.6 J

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

**Problem Description:**

An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it, the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10 cm. While the spring is being extended by the force, the work done by the spring is:

**Options:**

a) 3.6 J

b) -3.4 x 10^-5 J

c) -3.3 J

d) 3.3 J

e) -3.6 J

**Explanation:**

The question involves calculating the work done by a spring as it is extended by an external force. When an external force is applied to a spring, the work done by the spring is typically calculated using Hooke's Law and the work-energy principle. The options given represent potential values of work, some positive and some negative, indicating directionality of force and displacement.

This multiple-choice question tests understanding of the physical principles governing elastic potential energy and work done by forces.

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