A block $m$ is kept stationary on the surface of an accelerating cage as shown in figure. At the given instant, study the following statements regarding the block.

(i) Normal reaction performs positive work on the block.
(ii) Work done by the friction force on the block is negative.
(iii) No net work is done by normal reaction and frictional force on the block.

A rope ladder of length $L$ is attached to a balloon of mass $M$. As the man of mass $m$ climbs the ladder into the balloon basket, the balloon comes down by a vertical distance $s$. Then, the increase in potential energy of man divided by the increase in potential energy of balloon is:

Figure below shows a plot of the potential energy as a function of $x$ for a particle moving along the $x-$axis. Which of the following statement(s) is/are true?

The given plot shows the variation of $U$, the potential energy of interaction between two particles, with the distance separating them is $r$.

(i) B and D are equilibrium points.

(ii) C is a point of stable equilibrium.

(iii) The force of interaction between the two particles is attractive between points C and B and repulsive between points D and E on the curve.

(iv) The force of interaction between the particle is repulsive between points C and A.

Which of the above statements are correct?

The figure below shows a plot of the conservative force $F$ in a unidimensional field. The plot representing the function corresponding to the potential energy $\left(U\right)$ in the field is: