NEET Physics Laws of Motion MCQs

A block of mass $m$ is placed on a rough inclined plane with an angle of inclination $heta$. The coefficient of static friction between the block and the plane is $\mu_s$. A horizontal force $F$ is applied to the block. For what range of values of $F$ will the block remain at rest?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string passing over a smooth pulley. The coefficient of kinetic friction between $m_1$ and the horizontal surface is $\mu_k$. If $m_2$ is descending with a constant acceleration $a$, what is the tension in the string?

A block is projected up a rough inclined plane with an initial velocity $u$. The coefficient of kinetic friction between the block and the plane is $\mu_k$. The block travels a distance $s$ up the plane before coming to rest. What is the angle of inclination $heta$ of the plane?

A block of mass $m$ rests on a horizontal surface with coefficient of static friction $\mu_s$. A force $F$ is applied at an angle $heta$ to the horizontal. The minimum force required to just move the block is:

A car is moving with uniform speed on a banked road inclined at an angle $heta$. The coefficient of static friction between the tyres and road is $\mu_s$. What is the maximum speed with which the car can negotiate the curve without skidding, if the radius of the curve is $R$?

A block of mass $m$ is placed on a rough rotating disc at a distance $r$ from the center. The coefficient of static friction is $\mu_s$. What is the maximum angular speed $\omega$ for which the block will not slip?

A particle moves along a path defined by the equation $r = 2t^2\hat{i} + (3t - 1)\hat{j}$, where $r$ is in meters and $t$ is in seconds. At $t = 2$ seconds, a force $F = (4t\hat{i} + 6\hat{j})$ Newtons acts on the particle. What is the instantaneous power delivered by the force at $t = 2$ seconds?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string over a frictionless pulley. $m_1$ rests on a rough inclined plane with an angle of inclination $heta$. The coefficient of static friction between the block and the plane is $\mu_s$. If the system is in equilibrium, which of the following is the correct range for the ratio $\frac{m_2}{m_1}$?

A block of mass $m$ is placed on a horizontal rotating disc at a distance $r$ from the center. The coefficient of static friction between the block and the disc is $\mu_s$. What is the maximum angular velocity of the disc so that the block does not slide?

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?