Work, Energy and Power

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

A body of man 100 kg travelled 10 m before coming to rest. If m = 0.4, work done against friction is (motion is happening on horizontal surface, take g=10 m/s²)

A ball is released from a height of 1 m on a smooth hemispherical surface as shown. Find its velocity when it is at a height of 0.5 m. (Take g = 10 m/s²)