Question

A company selling a type of spring makes the following claim: “The elastic potential energy that the spring is capable of storing for a given compression distance does not decrease, even after the spring compresses and/or stretches hundreds of times.” The students in a physics class have decided to test the company’s claim.
i. State a basic physics principle or law the students could use in designing an experiment to test the company’s claim

Answer 1

Answer:

Hooke's law. Hooke's law states that: provided the elastic limit of an elastic material is not exceeded, the extension, e, of the material is proportional to the force applied.

Explanation:

The appropriate law that explains the potential energy conserved by a compressed spring is the Hooke's law. Hooke's law states that: provided the elastic limit of an elastic material is not exceeded, the extension, e, of the material is proportional to the force applied.

Mathematically, Hooke's law states that:

                          F = ke

where: F is the force applied, k is the spring constant and e is the extension of the spring.

When a spring is compressed, its potential energy is the same as the work done by the spring.

Potential energy = work done = $\frac{1}{2}$ k$e^{2}$

So the law that can be used to test the company's claim is the Hooke's law.

Answer 2

The student will the Hooke's law to test the company's claim about its new product.

Hooke's law:

It states that the extension in the elastic material in the elastic limit is proportional to the force applied.

$F = kx$

Where,

F -  force applied,

k - spring constant and

x - extension of the spring.

Potential energy is equal to the work done by the spring if the spring is compressed.

 

Therefore, the student will the Hooke's law to test the companies claim.

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