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 ${1 \over {\sqrt x }}$. The value of x is .................... .
Answer (integer)
2
Solution
Given W<sub>A</sub> = W<sub>B</sub><br><br>F<sub>A</sub>d cos45$^\circ$ = F<sub>B</sub>d cos60$^\circ$<br><br>${F_A} \times {1 \over {\sqrt 2 }} = {F_B} \times {1 \over 2}$<br><br>${{{F_A}} \over {{F_B}}} = {{\sqrt 2 } \over 2} = {1 \over {\sqrt 2 }}$<br><br>x = 2
About this question
Subject: Physics · Chapter: Work, Energy and Power · Topic: Work Done by a Force
This question is part of PrepWiser's free JEE Main question bank. 80 more solved questions on Work, Energy and Power are available — start with the harder ones if your accuracy is >70%.