NEET Questions

A particle is subjected to a force $F = (3x^2 - 2x + 1)\hat{i}$ N, where $x$ is in meters. What is the work done by this force in moving the particle from $x = 0$ to $x = 2$ m?

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 particle of mass 'm' is subjected to a force $F = -kx + \frac{F_0}{x^2}$, where 'k' and '$F_0$' are positive constants. If the particle starts from rest at $x=a$, what is its speed when it reaches $x=\frac{a}{2}$?

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 of mass 'm' moves along the x-axis under the influence of a force given by $F(x) = -\frac{k}{2x^2}$, where 'k' is a positive constant. If the particle starts from rest at $x = a$, what is its velocity when it reaches $x = 2a$?

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 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 $x = A/2$?