Work, Energy and Power

A uniform chain of length L and mass M is lying on a table and 1/4^th of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part back on the table

If a ball of mass 4 kg moving with velocity of 3 m/s collides elastically head on with another ball of mass 6 kg which is at rest, then the ratio of speed of second ball to first after collision will be

In stable equilibrium position, a body has

A particle moves along x axis from x = 1 m to x = 3 m under the effect of the force F = 3x² – 2x + 5 N. Work done in process is

A ball is projected vertically up with an initial velocity. Which of the following graph represent KE of ball?

A body of mass M is rotating in a vertical circle of radius r with critical speed. The difference in its kinetic energy at the top and the bottom is

An object on a spring vibrates in a simple harmonic motion at a frequency of 4 hertz and an amplitude of 8 cm. If the mass of the object is 200 g, the spring constant is

A ball is projected from ground at angle q with the horizontal. After t = 1 s, it is moving at 45° with the horizontal and after t = 2 second, it is moving horizontally. What is speed of projection of ball? [g = 10 m s^–2]

A ball is projected vertically up with an initial velocity. Which of the following graph represent KE of ball?

Potential energy function corresponding to conservative force is given as  $U\left(x,y,z\right)=\frac{3x^2}{2}+5y+6z$ , then the force at x = 6 is pN. The value of p upto its nearest integral value is