Chapter 13, Problem 1ASA

To determine

To state the Hooke’s law and tell whether it has limitations or not.

Answer to Problem 1ASA

Hooke’s law gives the value of restoring force present in the spring and there is one limitation of the law that it may valid up to a certain limit.

Explanation of Solution

Hooke’s law states that the restoring force of spring directly depends upon the distance at which it was elongated. Mathematically the Hooke’s law is given as

    $\begin{array}{l}F\propto -x\\ F=-kx\end{array}$

Here, $F$ is the restoring force of spring, $k$ is the spring constant, $x$ is the distance at which it was elongated and negative sign implies that the restoring force is in the opposite direction in which it was elongated.

There is a limitation of Hooke’s law that it is valid upto a certain elastic limit of spring. After a cartain displacement of sping the restoring force does not act on the spring.

Conclusion:

Thus, Hooke’s law gives the value of restoring force present in the spring and there is one limitation of the law that it may valid up to a certain limit.