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Chapter 1: Q16DQ (page 228)

Since only changes in potential energy are important in any problem, a student decides to let the elastic potential energy of a spring be zero when the spring is stretched a distance x1. The student decides, therefore, to let U=12k(x-x1)2. Is this correct? Explain.

Short Answer

Expert verified

U=12k(x-x1)2is incorrect.

Step by step solution

01

Significance of the potential energy

Potential energy is described as the energy attained by a body by virtue of its position. The potential energy that an object possesses is a relative quantity.

02

Determination of the correct expression

The expression given in the question is recalled below:

U=12k(x-x1)2

Here, Uis the potential energy, kis the constant, xis the initial and x1is the final stretching distance of the spring.

The above equation is incorrect as the spring is being stretched. Hence, a negative force mainly tends to restore the spring to its equilibrium position and the work done on the spring will be done by the force. So, the potential energy can never be zero.

Thus, U=12k(x-x1)2is incorrect.

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