Consider a force `vecF = -xhati +yhatj`. The particle is moved from point A(1,0) to B(0,1) along the line segment. The work done by force is (All quantities are in Si units)

Options

A. `1/2`
B. `3/2`
C. 2
D. 1

Answer

D

Explanation

`W=intvecF.dvecs`
`= (-xhati=yj) . (dxhati+dyhatj)`
`int_1^0-xdx +int_0^1ydy`
`= - (x^2)/2|""_0^(1)+y^2/2|_1^(0)=(0+1/2)+(1/2)`
= 1 J