NEET Physics Work, Energy, and Power Potential Energy MCQs

A particle moves along the x-axis under the influence of a conservative force given by $F(x) = -kx^3$. If the particle is released from rest at $x = A$, what is its speed when it reaches $x = A/2$?

Two particles of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley. If the system is released from rest, and $m_1 > m_2$, what is the magnitude of the change in gravitational potential energy of the system when $m_1$ descends a distance $h$?

A particle is projected vertically upwards with a speed $u$ from the surface of the Earth. If the air resistance is proportional to the square of the velocity ($F = -kv^2$), what is the maximum height reached by the particle? (Assume $g$ is constant and $m$ is the mass of the particle)

A small block of mass $m$ is placed on top of a larger block of mass $M$. The coefficient of static friction between the blocks is $\mu_s$. The larger block rests on a frictionless horizontal surface. What is the maximum horizontal force that can be applied to the larger block so that the smaller block does not slip?

A particle moves in a force field given by $\vec{F} = (2xy + z^3)\hat{i} + x^2\hat{j} + 3xz^2\hat{k}$. Is this force field conservative?

A particle is subjected to a force $F = -kx + \frac{a}{x^3}$, where $k$ and $a$ are positive constants. What is the equilibrium position of the particle?

A block of mass 2 kg is lifted vertically through a height of 3 m. The change in its potential energy is (g = 10 m/s²):

Two identical balls are placed at heights h and 2h respectively. The ratio of their potential energies is:

A spring is compressed by a distance x. If the spring constant is k, the potential energy stored in the spring is:

If the mass of an object is doubled while keeping its height constant, its gravitational potential energy will: