The potential energy of a body is given by,` U=A-Bx^2` (where x is the displacement). The magnitude of forcce acting on the particle is

The potential energy of a body is given by U = A - Bx^(2) (where x is the displacement). The magnitude of force acting on the partical 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

Let gravitational potential energy U is given by U=Asqrtx/(B+x^2) , where x is distance. The dimensional formula of A/B is

A partical of mass 2kg is moving on the x- axis with a constant mechanical energy 20 J . Its potential energy at any x is U=(16-x^(2))J where x is in metre. The minimum velocity of particle is :-

A particle is executing simple harmonic motion in a conservative force field. The total energy of simple harmonic motion is given by E=ax^(2)+bv^(2) where ‘x’ is the displacement from mean position x = 0 and v is the velocity of the particle at x then choose the INCORRECT statements.{Potential energy at mean position is assumed to be zero}

The potential energy of a particle is given by formula U=100-5x + 100x^(2), where U and 'x' are in SI unit .if mass of particle is 0.1 Kg then find the magnitude of its acceleration

A single conservative fore F_(x) acts on a 2kg particle that moves along the x-axis. The potential energy is given by. U =(x-4)^(2)-16 Here, x is in metre and U in joule. At x =6.0 m kinetic energy of particle is 8 J find . (a) total mechanical energy (b) maximum kinetic energy (c) values of x between which particle moves (d) the equation of F_(x) as a funcation is zero (e) the value of x at which F_(x) is zero .

The potential energy of a particle of mass 2 kg in SHM is (9x^(2)) J. Here x is the displacement from mean position . If total mechanical energy of the particle is 36 J. The maximum speed of the particle is

The potential energy of body of mass 2 kg moving along the x-axis is given by U = 4x^2 , where x is in metre. Then the time period of body (in second) is

A body is executing SHM under the action of force whose maximum magnitude is 5sqrt(2)N . The magnitude of force acting on the particle at the instant when its kintentic energy and potential are euqal is 10x . Find x . (Assume potenital energy to be zero at mean position)