NEET Questions

A block of mass $2$ kg is placed on a rough horizontal surface with coefficient of friction $\mu = 0.4$. A horizontal force of $10$ N is applied to the block. What is the acceleration of the block? (Take $g = 10 ext{ m/s}^2$)

A block is projected with speed $v$ on a rough horizontal surface. It comes to rest after covering a distance $d$. If the coefficient of friction is $\mu$, the initial speed $v$ is given by:

Two blocks of masses $m_1$ and $m_2$ ($m_1 > m_2$) are connected by a light inextensible string passing over a smooth pulley. $m_1$ is placed on a rough horizontal surface with coefficient of friction $\mu$, and $m_2$ hangs freely. The minimum value of $m_1$ for which the system remains at rest is:

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

A small block is held against a rough vertical wall by pushing it horizontally with a force $F$. If the coefficient of static friction between the block and the wall is $\mu_s$, and the block’s weight is $W$, what is the minimum magnitude of $F$ required to prevent the block from sliding down?

A block of mass $m$ rests on a vertical board. The board is slowly tilted from vertical. The coefficient of static friction between the block and the board is $\mu_s$. At what angle $heta$ with the vertical will the block start to slide?

Two identical blocks, A and B, are held against a vertical wall by applying horizontal forces. The coefficient of static friction between block A and the wall is $\mu_A$, and between block B and the wall is $\mu_B$. If $\mu_A = 2\mu_B$, what is the ratio of the minimum horizontal forces required to prevent the blocks from sliding, $F_A/F_B$?

Two blocks of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley at the top of a smooth inclined plane of angle $heta$. $m_1$ lies on the incline and $m_2$ hangs vertically. If the system is in equilibrium, what is the ratio $\frac{m_1}{m_2}$?

A block is pushed across a rough horizontal surface with a constant force $F$. If the coefficient of kinetic friction is $\mu_k$, and the block moves with a constant velocity $v$, what is the power delivered by the force $F$?

A block of mass 2 kg is pulled up a rough inclined plane of inclination $30^\circ$ with a constant force $F$ parallel to the incline. The coefficient of kinetic friction between the block and the plane is 0.2. If the block moves with a constant speed of 2 m/s, the power delivered by the force $F$ is: