A particle of mass `m` is under the influence of a force F which varies with the displacement x according to the relation `F=-kx +F_(0)` in which k and `F_(0)` are constants. The particle when disturbed will oscillate

A particle of mass m is acted upon by a force F= t^2-kx . Initially , the particle is at rest at the origin. Then

A particle of mass m is acted upon by a force F= t^2-kx . Initially , the particle is at rest at the origin. Then

A particle moves under the effect of a force F=kx^(2) from x=0 to x=4 , the work done by force is ?

A particle is acted upon by a force which varies with position x as shown. F is in N and x is in m F 10 5 X 2 -10

A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at x_(0)sqrt((2F_(0)x_(0))/m) , then velocity at 4x_(0) is

A particle of mass 'm' is at rest the origin at time t =0. It is subjected to a force F(t) = F_(0)e^("bt") in the X-direction

A particle of mass m initially moving with speed v.A force acts on the particle f=kx where x is the distance travelled by the particle and k is constant. Find the speed of the particle when the work done by the force equals W.

A particle of mass m initially moving with speed v.A force acts on the particle f=kx where x is the distance travelled by the particle and k is constant. Find the speed of the particle when the work done by the force equals W.

A particle which is constrained to move along x - axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=kx + ax^(3) . Here, k and a are positive constants. For x ge 0 , the functional form of the potential energy U (x) of the particle is