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The gravitational force in a region is g...

The gravitational force in a region is given by, `vec(F)=ayhati+axhatj`. The work done by gravitational force to shift a point mass `m` from `(0,0,0)` is `(x_(0),y_(0),z_(0))` is

A

ma`x_(0) y_(0)z_(0)`

B

ma`x_(0)y_(0)`

C

-ma`x_(0)y_(0)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
`W=intvec(F).vec(dr)=maint_(0)^(x_(0)y_(0)z_(0))(yhati+xhatj)(dxhati+dyhatj)`
`=maintd(xy)=ma(xy)`
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