Potential energy (U) related to coordinates is given by U=3(x+y).Work was done when the particle is going from (0,0) to (2,3) is

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

The potential energy of a particle (U_(x)) executing SHM is given by

The potential energy for a force filed vecF is given by U(x,y)=cos(x+y) . The force acting on a particle at position given by coordinates (0, pi//4) is

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the speed of the particle when it crosses y-axis.

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the speed of the particle when it crosses x-axis

A particles is in a unidirectional potential field where the potential energy (U) of a partivle depends on the x-coordinate given by U_(x)=k(1-cos ax) & and 'a' are constant. Find the physical dimensions of 'a' & k.

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the coordinates of the particle at t =1 second.

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the acceleration of the particle.