Kinetic energy K of a particle moving along x -axis varies with its position (x) as shown in figure

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5.Work, Energy, Power and Collision

medium

The kinetic energy $K$ of a particle moving along $x$-axis varies with its position $(x)$ as shown in figure The magnitude of force acting on particle at $x=9 \,m$ is ............ $N$

A

$0$

B

$5$

C

$20$

D

$7.5$

Solution

(b)

Slope of $K-x$ curve is $F$

$F d x=d K$

$F=\frac{d K}{d x}$

at $x=9 \,m$, Slope of the curve is $5$ Hence $F=5 \,N$

Standard 11

Physics

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(JEE MAIN-2023)