The graph of potential energy U(x) versus dis | vedclass

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

Question

(A) The relationship between conservative force $F$ and potential energy $U(x)$ is given by $F = -\frac{dU}{dx}$.This means the force is equal to the

Vedclass · Accepted Answer

Vedclass · Answer

(A) The relationship between conservative force $F$ and potential energy $U(x)$ is given by $F = -\frac{dU}{dx}$.This means the force is equal to the negative of the slope of the $U(x)$ versus $x$ graph.For the region $OA$ (from $x=0$ to $x=P$),the graph is a straight line with a positive constant slope. Let the slope be $k > 0$. Thus,$F = -k$,which is a negative constant.For the region $AB$ (for $x > P$),the graph is a horizontal straight line. The slope of this line is $0$. Thus,$F = -(0) = 0$.Comparing this with the given options,the graph that shows a negative constant force for $x  P$ is represented by option $A$.

The graph of potential energy $U(x)$ versus distance $x$ is shown in the following figure. The force $F$ versus distance $x$ graph will be represented by (assume that the force is conservative):

Similar Questions

Assertion $(A) :-$ If work done by the force depends on the path,then the force is said to be non-conservative.
Reason $(R) :-$ All conservative forces are central forces.

Which one of the following is not a conservative force?

State the principle of conservation of mechanical energy in the presence of non-conservative forces.

The potential energy $U(x)$ of a particle is shown in the figure. Which of the following graphs represents the force $F(x)$ acting on it?

Vedclass Test Series

Exam Paper Generator

Online Exam Module