Question

Two persons $A$ and $B$ perform the 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 $\frac{1}{\sqrt{x}}$. The value of x is .

• A. 2.0
• B. 2

Answer 1

Answer: (A), (B)

According to the question :-
$W_A=W_B$
$F_{A}d\cos {45}^{\circ }=F_{B}d\cos {60}^{\circ }$
$F_A=\frac{F_B}{\sqrt{2}}$
$\Rightarrow \frac{F_A}{F_B}=\frac{1}{\sqrt{2}}$
Therefore, $x=2$