Question

A body is displaced from (0, 0) to (1m, 1m) along the path x = y by a force . The work done by this force will be –

• A.
• B.
• C.
• D. $\frac { 7 } { 5 } \mathrm {~J}$

Answer 1

Answer: (B)

Answer 2

W =

Here $\overrightarrow { \mathrm { d } s }$ = + dy $\hat { j }$ +

\W = $\int _ { ( 0,0 ) } ^ { ( 1,1 ) } \left( x ^ { 2 } d y + y d x \right)$

= (as x = y)

\ W = = $\frac { 5 } { 6 }$ J