Embibe Experts Solutions for Chapter: Work, Energy and Power, Exercise 1: Exercise 1

A block of mass $250 \mathrm{g}$ is kept on a vertical spring of spring constant $100 \mathrm{N} {\mathrm{m}}^{-1}$ fixed from below. The spring is now compressed to have a length $10 \mathrm{cm}$ shorter than its natural length and the system is released from this position. How high does the block rise? Take $\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}.$

A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e \left(e<<1\right)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by:

A block of mass $10 \mathrm{kg}$ is hanging over a smooth and light pulley through a light string and the other end of the string is pulled down by a constant force $F$. The kinetic energy of the block increases by $20 \mathrm{J}$ in $1 \mathrm{s}$

 A block is attached to the end of an ideal spring and moved from coordinate $x_i$ to coordinate $x_f.$ The relaxed position is at $x=0.$ The work done by spring is positive if

If the kinetic energy of a particle continuously increases with time then?

Two particles $A$ and $B$ of masses $2 \mathrm{kg}$ and $3 \mathrm{kg}$ moving on a smooth horizontal surface with speed $1.5 \mathrm{m} {\mathrm{s}}^{-1}$ and $2 \mathrm{m} {\mathrm{s}}^{-1}$collide perfectly inelastically, then

A particle strikes a smooth horizontal surface at an angle $\theta >0$ and it rebounds at an angle $\varphi$ as shown

The displacement of an object of mass $3 \mathrm{kg}$ is given by the relation $S=\frac{1}{3}{t}^2$ , where $\mathrm{t}$ is time in seconds. If the work done by the net force on the object in $2 \mathrm{s}$ is $\frac{p}{q} \mathrm{joule}$, where $p$ and $q$ are smallest integer values, then what is the value of $p+q$?