NEET Questions

The equation for momentum ($p = mv$) is a direct consequence of which of Newton's laws?

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 projectile is launched with an initial velocity $v_0$ at an angle $heta$ with the horizontal. At the highest point of its trajectory, the rate of change of its momentum is:

A block of mass 'm' is sliding down an inclined plane at an angle $heta$ with the horizontal. Derive an expression for the acceleration of the block, assuming no friction.

A balloon of mass $m$ is descending with an acceleration $a$ (where $a < g$). A mass $M$ is removed from the balloon. What will be its acceleration (in terms of $g$) after the mass is removed?

A man of mass $m$ is standing on a weighing machine placed in a lift. Initially, the lift is stationary. The lift then begins to ascend with an acceleration of $g/3$, then moves with a uniform velocity, and finally decelerates at a rate of $g/4$ before coming to rest. If the readings of the weighing machine during the ascent, uniform motion, and descent are $W_1$, $W_2$, and $W_3$ respectively, which of the following relations is correct?

Two blocks 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 the block of mass $m_1$ slides on a smooth inclined plane of inclination $heta$, while $m_2$ moves vertically downwards, what is the tension in the string?

A rocket of mass $M$ is launched vertically upwards with a constant thrust $F$. The exhaust gases are ejected at a constant speed $v_e$ relative to the rocket. What is the apparent weight of a person of mass $m$ inside the rocket?

Two blocks A and B of masses $M$ and $2M$, respectively, are connected by a light string passing over a smooth, massless pulley fixed to a wedge as shown. The wedge of mass $4M$ is placed on a smooth horizontal surface. The inclination of the wedge is $30^\circ$. Find the magnitude of the acceleration of the wedge.

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 $g = 10 ext{ m/s}^2$)