Class 11PhysicsWork, Energy, Power and CollisionConservative and Non-Conservative forces and Potential Energy
EasyWhy are gravitational forces or spring forces considered conservative forces?
(N/A) force is called a conservative force if the work done by or against it in moving a particle between two points is independent of the path taken.
$1$. When an external force does work in moving a body against a conservative force (like gravitational or spring force),this work is stored as potential energy.
$2$. When the external force is removed,the body moves by converting this stored potential energy back into kinetic energy.
$3$. Throughout this process,the total mechanical energy (sum of kinetic and potential energy) remains constant.
Since the work done depends only on the initial and final positions and not on the path,these forces are classified as conservative forces. Examples include gravitational force,spring force,and electrostatic force.
$1$. When an external force does work in moving a body against a conservative force (like gravitational or spring force),this work is stored as potential energy.
$2$. When the external force is removed,the body moves by converting this stored potential energy back into kinetic energy.
$3$. Throughout this process,the total mechanical energy (sum of kinetic and potential energy) remains constant.
Since the work done depends only on the initial and final positions and not on the path,these forces are classified as conservative forces. Examples include gravitational force,spring force,and electrostatic force.
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The variation of force $F$ acting on a body moving along the $x$-axis with respect to its position $(x)$ is shown in the figure. The body is in a stable equilibrium state at:
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View SolutionGiven below are two statements:
Statement $I$: An object moves from position $r_{1}$ to position $r_{2}$ under a conservative force field $\vec{F}$. The work done by the force is $W = -\int_{r_{1}}^{r_{2}} \vec{F} \cdot d\vec{r}$.
Statement $II$: Any object moving from one location to another location can follow an infinite number of paths. Therefore,the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements,choose the correct answer from the options given below:
Statement $I$: An object moves from position $r_{1}$ to position $r_{2}$ under a conservative force field $\vec{F}$. The work done by the force is $W = -\int_{r_{1}}^{r_{2}} \vec{F} \cdot d\vec{r}$.
Statement $II$: Any object moving from one location to another location can follow an infinite number of paths. Therefore,the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements,choose the correct answer from the options given below:
Which one of the following is not a conservative force?
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