Work Energy and...

A force acts on a $$3 g$$ particle in such a way that position of the particle as a function of time is given by $$x=3t-4t^2+t^3$$, where x is in metre and t is in sec. The work done during the first $$4s$$ is

When a rubber -band is stretched by a distance x,it exerts a restoring force of magnitude $$F= ax + bx^2$$ where a and b are constants. the work done is stretching the unstretched rubber band by L is : 

A triangular block ABC of mass m and sides 2a lies on a smooth horizontal plane as shown in the figure. Three point masses of mass m each strike the block at A, B and C with speeds v as shown. After the collision, the particles come to rest. Then the angular velocity acquired by the triangular block is (I is the moment of inertia of the triangular block about G, perpendicular to the plane of the block)

A simple pendulum of length $$L$$ carries a bob of mass $$m$$. When the bob is at its lowest position, it is given the minimum horizontal speed necessary for it to move in a vertical circle about the point of suspension. When the string is horizontal the net force on the bob is:

When a rubber-band is stretched by a distance $$x$$, it exerts a restoring force of magnitude $$F=ax+b{x}^{2}$$ where $$a$$ and $$b$$ are constants.The work done in stretching the unstretched rubber band by $$L$$ is:

A body of mass $$0.5\ kg$$ travels in a straight line with velocity $$v = ax^{1/2}$$ where $$a = 4 m^{}s^{-2}$$. The work done by the net force during its displacement from $$x = 0$$ to $$x = 2\ m$$ is

The diagram below shows the path taken by a ball when Sundram kicks it. The potential energy of the ball is highest at ______________

When the speed of a body is doubled, its kinetic energy becomes 

Which of the following statements is incorrect?