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The gravitational force in a region is g...

The gravitational force in a region is given by, `vec(F)=mayhati+maxhatj` 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

`max_(0)y_(0)z_(0)`

B

to `(x_(0),y_(0),z_(0))`

C

`-max_(0)y_(0)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `F = mE = ma (y hati +x hatj)`
`:' r = x hati +y hatj`
`:. dr = dx hati +dy hatj`
`:. W = int F. dr = ma int_(0,0,0)^(x_(0),y_(0),z_(0)) (yhati + x hatj) (dx hati +dy hatj)`
`=ma int d (xy) = ma [xy]_(0,0,0)^(x_(0),y_(0),z_(0)) = ma x_(0)y_(0)`
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