What is the spring constant? On what factors does the work done by a spring depend?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The spring constant $(k)$ is a measure of the stiffness of a spring. It is defined as the force required to produce a unit extension or compression in the spring. According to Hooke's Law,$F = -kx$,where $F$ is the restoring force,$x$ is the displacement from the mean position,and $k$ is the spring constant. Its $SI$ unit is $N/m$.
The work done by a spring when it is displaced from position $x_1$ to $x_2$ is given by the formula: $W = -\frac{1}{2} k (x_2^2 - x_1^2)$.
From this expression,we can conclude that the work done by a spring depends on:
$1$. The spring constant $(k)$,which represents the stiffness of the spring.
$2$. The initial position $(x_1)$ of the spring.
$3$. The final position $(x_2)$ of the spring.

Explore More

Similar Questions

When a spring is stretched by $2 \, cm$,it stores $100 \, J$ of energy. If it is stretched further by $2 \, cm$,the stored energy will be increased by ............. $J$.

$A$ block of mass $m$ moving with speed $v$ compresses a spring through distance $x$ before its speed is halved. What is the value of the spring constant $k$?

If a spring extends by $x$ on loading,then the energy stored by the spring is (if $T$ is tension in the spring and $k$ is spring constant).

Show that the law of conservation of mechanical energy is obeyed by pulling or compressing the block tied at the end of a spring.

Two springs have their force constants as $k_1$ and $k_2$ $(k_1 > k_2)$. When they are stretched by the same force,which of the following is true?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo