Which quantity is obtained by taking negative detective of potential energy w.r.t to displacement in the case of conservative force ?

Which physical quantity is obtain by negative value of derivative of potential energy with respect to its position ?

Obtain the relation between potential energy and force for conservative force .

As a particle moves along the x- axis, it is acted upon by a conservative force. The potential energy is shown below as a function of the coordinate x of the particle. Rank the labelled regions accoeording to the magnitude of force, least to greatest.

For a simple pendulum, a graph is plotted between itskinetic energy (KE) and potential energy (PE) against its displacement d . Which one of the following represents these correctly? (graph are schematic and not drawn to scale)

Two 20g worms climb over a 10cm high, very then wall. One worm is thin and 20cm long the other is fat and only 10cm long. What is the ratio of the potential energy (w.r.t. the base of wall) of the thin worm as comparses to that of the fat worm when each is half way over the top of the wall as shown?

If work is done on system by non-conservative force, then potential energy increases.

In case of simple harmonic motion - (a) What fraction of total energy is kinetic and what fration is potential when displacement is one hall of the amplitude. (b) At what displacement the kinetic and potential energies are equal.

Which of the following statemente is / are INCORRECT? (a) Mechanical energy is the sum of kinetic energy and potential energy. (b) Potential energy is a relative quantity. It depends on the choice of reference point. (c ) Kinetic energy must be non negative. (d) Potential energy must be postive.

Which one among kinetic energy, potential energy and mechanical energy cannot be negative?