Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 1: AIPMT - 25th July 2015

A ball of mass $0.15 \mathrm{kg}$ is dropped from a height $10 \mathrm{m}$ strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$ nearly :

A point mass $m$ is moved in a vertical circle of the radius $r$ with the help of a string. The velocity of the mass is $\sqrt{7gr}$ at the lowest point. The tension in the string at the lowest point is:

Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is $0.05.$ ($g=10 \mathrm{m} {\mathrm{s}}^{-2},$ mass of the string is negligible and no other friction exists).

Two bodies of mass $4\mathrm{kg}$ and $6\mathrm{kg}$ are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity $\left(g\right)$ is:

A particle moving with velocity $\overrightarrow{V}$ is acted by three forces shown by the vector triangle $PQR$. The velocity of the particle will

A system consists of three masses $m_1, m_2$ and $m_3$ connected by a string passing over a pulley $P.$ The mass $m_3$ hangs freely and $m_2$ and $m_1$ are on a rough horizontal table (the coefficient of friction $=\mu ).$ The pulley is frictionless and of negligible mass. The downward acceleration of mass $m_3$ is: (Assume $m_1=m_2=m_3=m)$

The force $‘F\text{'}$ acting on a particle of mass $‘m\text{'}$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8 \mathrm{s}$ is:

A balloon with mass $m$ is descending down with an acceleration $a$ (where $a<g).$ How much mass should be removed from it so that it starts moving up with an acceleration $a$?