Question

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 angle $45^{\circ }$ 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 $\frac{1}{\sqrt{x}}.$ The value of $x$ is $\dots \dots .$

Answer 1

Answer: 2

Given $W_A=W_B$
$F_{A}d\cos 45^{\circ }=F_{B}d\cos 60^{\circ }$
$F_A\times \frac{1}{\sqrt{2}}=F_B\times \frac{1}{2}$
$\frac{F_A}{F_B}=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$
$X=2$