The potential energy for a force field F → is given by U ( x , y ) = cos ( x + y ) . The force acting on a particle at the position given by coordinates 0 , π / 4 is

Step-by-step solution

F x = - ∂ U ∂ x = sin x + y , F y = - ∂ U ∂ x = sin x + y F x = sin x + y ] 0 , π / 4 = 1 2 , F y = sin x + y ] 0 , π / 4 = 1 2 ∴ F = 1 2 i ^ + j ^