Two persons A and B do the same work over the same displacement d with forces at 45° and 60° to the displacement. If F A F B \frac{F_{A}}{F_{B}} F B F A =1/√x, find x.
Physics · Work , Power and Energy · question based on work
JEE Mains 2021

Question

Two persons A and B do the same work over the same displacement d with forces at 45° and 60° to the displacement. If F A F B \frac{F_{A}}{F_{B}} F B ​ F A ​ ​ =1/√x, find x.

G1 Physics · Accepted Answer

Equal work gives F(A) d cos45°=F(B) d cos60°. Hence F(A)/F(B)=(1/2)/(1/√2)=1/√2=1/√x, so x=2.

Two persons A and B do the same work over the same displacement d with forces at 45° and 60° to the displacement. If F A F B \frac{F_{A}}{F_{B}} F B ​ F A ​ ​ =1/√x, find x.

Two persons A and B do the same work over the same displacement d with forces at 45° and 60° to the displacement. If F A F B \frac{F_{A}}{F_{B}} F B F A =1/√x, find x.