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Work Energy Power

JEE Main level, numerical answer, medium

21 of 183

Question 21 of 183

Two persons $A$ and $B$ perform same amount of work in moving a body through a certain distance $d$ with application of forces acting at angles $45^{\circ}$ and $60^{\circ}$ with the direction of displacement respectively. The ratio of force applied by person $A$ to the force applied by person $B$ is $\dfrac{1}{\sqrt{x}}.$ The value of $x$ is _________.

Show answer and solution

Answer: 2

Given,

{W}_{1}={W}_{2}

and, we know that work done is a scalar quantity it means,

{F}_{1}S\cos 45^{\circ}={F}_{2}S\cos 60^{\circ}

\Rightarrow \dfrac{{F}_{1}}{{F}_{2}}=\dfrac{1}{\sqrt{2}}=\dfrac{1}{\sqrt{x}}

\Rightarrow x=2

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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