Work Energy and...

A particle of mass $$2 kg$$ travels along straight line with velocity $$v=a\sqrt{x}$$, where $$x$$ is constant. The work done by net force during the displacement of particle from $$x=0$$ to $$x=4m$$ is

A small sphere of mass m suspended by a thread is first taken aside so that the thread forms the right angle with the vertical and then released, then:

The total acceleration of the sphere and the thread tension as a function of $$\theta$$ , the angle of deflection of the thread from the vertical will be 

A sphere, a cube and a thin circular plate; all are of the same material and same mass and all of them are initially heated to same high temperature. Then:

The angle $$\theta$$ between the thread and the vertical at the moment when the total acceleration vector of the sphere is directed horizontally will be

A body of mass $$m$$ starts moving from rest along x-axis so that its velocity varies as $$v = a{s}^{1/2}$$ where $$a$$ is a constant and $$s$$ is the distance covered by the body. The total work done by all the forces acting on the body in the first $$t$$ seconds after the start of the motion is

A force $$\vec{F}=x\hat{i}+2y\hat{j}$$ is applied on a particle. Find out work done by $$F$$ to move the particle from point $$A$$ to $$B$$

One end of a string of length $$1.0m$$ is tied to a body of mass $$0.5kg$$. It is whirled in a vertical circle with angular velocity $$4 rad/s$$. The tension in the string when body is at the lower most point of its motion  is equal to [Take $$g=10m/s^2$$].

Force acting on a particle moving in a straight line varies with the velocities of the particle as $$F=K.V$$. Where $$K$$ is constant. The work done by this force in time $$t$$ is

The distance $$(x)$$ converted by a body of $$2\ kg$$ under the action of a force is related to time $$t$$ as $$x=t^{2}/4$$. What is the work done by the force in first $$2$$ seconds?

Which of the following bodies has the largest kinetic energy?