Embibe Experts Solutions for Exercise 7: Assignment

A block of mass $m$ is released from a height $h$ from the top of a smooth surface. There is an ideal spring of spring constant $k$ at the bottom of the track. Find the maximum compression in the spring. (Wedge is fixed)

A particle of mass $m$ moving with speed $u$ collides perfectly inelastically with another particle of mass $3 \mathrm{m}$ at rest. Loss of $KE$ of system in the collision is

A neutron travelling with some velocity, collides elastically head-on, with the nucleus of an atom of mass number $A$ at rest. The fraction of total energy retained by neutron is

A bullet of mass $m$ moving with velocity $v$ strikes a suspended wooden block of mass $M$. If the block rises to height $h$, then the initial velocity $v$ of the bullet must have been

A ball collides perfectly inelastically with smooth horizontal ground at angle $30°$ with vertical as shown. Fraction of kinetic energy lost by the ball due to collision is _____

A rod of mass $10 \mathrm{kg}$ and length $2 \mathrm{m}$ is lying on a horizontal table. The minimum work done in $\mathrm{J}$ making it stand on one end will be _____.

(Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A position dependent force, $F=\left(7-2x+3x^2\right)\mathrm{N}$ acts on a small body of mass $2 \mathrm{kg}$ and displaces it from $x=0$ to $x=5 \mathrm{m}$. The work done in joule is _____.

By applying a force $\overrightarrow{F}=\left(3xy-5z\right)\hat{j}+4z\hat{k}$ a particle is moved along the path $y=x^2$, where all quantities are in $SI$ units, from point $(0,0,0) m$ to the point $(2,4,0)\mathrm{m}$. The work done by force $\overrightarrow{F}$ on the particle (in joule), is _____.