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  4. 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)

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Q. 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)Physics Question Image

TS EAMCET 2020

Solution:

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$\because F=\frac{-d U}{d x}=-($ slope of $U$ versus $x$ curve $)$
For $\bigcirc A$
$F=-(+$ ve constant $)=-$ ve constant
For $A B$
$F=-(0)=0$
So, $F(x)=\begin{cases}-\text { ve constant; } & \text { for } OA \\ 0 ; & \text { for } AB \end{cases}$

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