Is the spring force a conservative or a non-c | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The spring force is given by Hooke's Law,$F = -kx$,where $k$ is the spring constant and $x$ is the displacement from the equilibrium position.$A$

Vedclass · Accepted Answer

Conservative force

Vedclass · Answer

(A) The spring force is given by Hooke's Law,$F = -kx$,where $k$ is the spring constant and $x$ is the displacement from the equilibrium position.$A$ force is defined as conservative if the work done by the force in moving a particle between two points is independent of the path taken.For a spring force,the work done in moving from position $x_1$ to $x_2$ is $W = \int_{x_1}^{x_2} (-kx) dx = -\frac{1}{2}k(x_2^2 - x_1^2)$.Since the work done depends only on the initial and final positions ($x_1$ and $x_2$) and not on the path taken,the spring force is a conservative force.

Is the spring force a conservative or a non-conservative force?

Similar Questions

When a conservative force does positive work on a body,then the

Which one of the following forces cannot be expressed in terms of potential energy?

The work done by the force $\vec{F} = x^2 \hat{i} + y^2 \hat{j}$ around the closed path $OABC$ shown in the figure is:

$A$ particle of mass $m$ with initial kinetic energy $K$ approaches the origin from $x = +\infty$. Assume that a conservative force acts on it and its potential energy $V(x)$ is given by $V(x) = \frac{K}{\exp(3x/x_0) + \exp(-3x/x_0)}$, where $x_0 = 1 \ m$. The speed of the particle at $x = 0$ is

Conservative forces are defined as the force for which,

Vedclass Test Series

Exam Paper Generator

Online Exam Module