NEET Physics Work, Energy, and Power MCQs

A particle moves along the x-axis under the influence of a force $F(x) = -kx^2$. If the particle moves from $x = a$ to $x = 2a$, the work done by the force is:

A force $\vec{F} = (2x + 3)\hat{i}$ N acts on a particle as it moves from $x = 0$ to $x = 2$ m. The work done by the force is:

A particle moves along the x-axis under the influence of a variable force $F(x) = \frac{a}{x^2} - \frac{b}{x^3}$, where 'a' and 'b' are positive constants. If the particle starts from rest at $x = x_0$, what is the work done by the force when the particle reaches $x = 2x_0$?

A force $F = (3x^2 + 2x) \hat{i}$ N acts on a particle as it moves along the x-axis. The work done by the force in moving the particle from $x = 1$ m to $x = 2$ m is:

A particle moves along the x-axis from $x = 0$ to $x = 5$ m under the influence of a force given by $F(x) = (7x^2 - 3x + 4)$ N. The work done by this force is:

A particle of mass $m$ moves along the x-axis under the influence of a variable force $F(x) = -kx + \frac{a}{x^3}$, where $k$ and $a$ are positive constants. If the particle starts from rest at $x = x_0$, what is its speed when it reaches $x = \frac{x_0}{2}$?

A variable force $F = (3x^2 + 2x)$ N acts on a particle, moving it along the x-axis from $x=1$ m to $x=3$ m. What is the change in kinetic energy of the particle during this displacement?

A variable force $F = (6x) \hat{i}$ N acts on a particle of mass 2 kg, displacing it from $x = 0$ to $x = 3$ m. If the particle starts from rest, what is its final kinetic energy?

A particle moves along the x-axis under the influence of a force $F(x) = -kx + \frac{b}{x^3}$, where k and b are positive constants. If the particle moves from $x = a$ to $x = 2a$, where $a > 0$, what is the work done by the force?

A particle moves along the x-axis under the influence of a variable force given by $F(x) = \frac{a}{x^2} + bx$, where 'a' and 'b' are positive constants. If the particle starts from rest at $x = x_0$, what is the work done by the force when the particle reaches $x = 2x_0$?