Question

The potential energy for a force field f is given by

Answer 1

F in the definition of potential energy is the force exerted by the force field, e.g., gravity, spring force, etc. The potential energy U is equal to the work you must do against that force to move an object from the U=0 reference point to the position r.

Answer 2

Answer:

Let U be the potential energy

U(x,y)=cos(x+y)

∴Fx=−∂u∂x

=−∂∂xcos(x+y)

=sin(x+y)

at (0,π4)Fx=12–√

Fy=−∂u∂y

=sin(x+y)

at (0,π4)Fy=12–√

∴F=Fxi^+Fyj^

=12–√(i^+j^)

Explanation:

hope it help