A 0.33 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k whose other end is fixed. The ladle has a kinetic energy of 62 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.10 m and the ladle is moving away from the equilibrium position? = 320 N/m)

A 0.33 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k whose other end is fixed. The ladle has a kinetic energy of 62 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.10 m and the ladle is moving away from the equilibrium position? = 320 N/m)

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

*Chapter 7, Problem 48
A 0.33 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 320 N/m)
whose other end is fixed. The ladle has a kinetic energy of 62 J as it passes through its equilibrium position (the point at
which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its
equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.10 m and the
ladle is moving away from the equilibrium position?
(a) Number
11 Units
(b) Number
•2 Units
Answer *1: exact number, no tolerance
Answer *2: the tolerance is +/-2%
Question Attempts: Unlimited

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