Work, Power and Energy Part 1

Given, work done by both person is same,
WA=WB
Direction of first force with displacement, θ1 = 45°
Direction of first force with displacement, θ2 = 60°
Ratio of force applied by person A to force applied by person B is
FA:FB=1:√x.
Work done by both person is same,
WA=WB=
⇒FAd‌cos‌θ1=FBd‌cos‌θ2
(∵ distance is same for both = d)

FA

FB

=

cos‌θ1

cos‌θ2

=

cos‌60°

cos‌45°

⇒

FA

FB

=

1 2

1 √2

=

1

√2

⇒

FA

FB

=

1

√x

=

1

√2

⇒x=2
Thus, the value of x is 2.