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Consider a force overset ( r)(F)= -x^(3)...

Consider a force `overset ( r)(F)= -x^(3) hat( i) +y^(2) hat(j) `.The work done by this force in moving a particle from A(1,0) to B(0,1) along a straight line is `:` ( All quantities are in SI units )

A

1

B

`5/12`

C

`7/12`

D

`3/7`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(dr)=dxhati+dy hatj, " "int vecF.vec(dr)=int_(1)^(0)-x^(3).dx+int_(0)^(1)y^(2)dy=(-x^(4))/4"|"_(1)^(0)+(y^(3))/3|_(0)^(1)=1/4+1/3=7/12J`
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