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The potential energy of a force filed ve...

The potential energy of a force filed `vec(F)` is given by `U(x,y)=sin(x+y)`. The force acting on the particle of mass m at `(0,(pi)/4)` is

A

1

B

`sqrt2`

C

`(1)/(sqrt2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(F) = DeltaU = - cos (x + y) hat(i) - cos (x + y) hat(j)`
`vec(F) |_(((0, pi //4))) = 1`
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