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

Figure gives the acceleration of a $2.0 \mathrm{kg}$ body as it moves from rest along $x-$axis while a variable force acts on it from $x=0 \mathrm{m}$ to $x=9 \mathrm{m}$. The work done by the force on the body when it reaches
(i) $x=4 \mathrm{m}$ and
(ii) $x=7 \mathrm{m}$ shall be as given below.

An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water ?.

A $150\mathrm{gm}$ mass has a velocity $(2\hat{i}+6\hat{j}) m/s$ at a certain instant. Its $\mathrm{K}.\mathrm{E}.$ is

When a rubber-band is stretched by a distance $x$, it exerts a restoring force of magnitude $F=ax+b{x}^2$ where a and b are constants. The work done in stretching the un stretched rubber-band by $L$ is

The $K\mathit{.}E\mathit{.}$ acquired by a mass $m$ in travelling a certain distance $d$, starting from rest, under the action of a constant force is directly proportional to:

At time $t=0 \mathrm{s}$, particle starts moving along the $x$-axis. If its kinetic energy increases uniformly with time $t$, the net force acting on it must be proportional to

Following graph is showing the variation of potential energy between a pair of nucleons as a function of their separation. Indicate the regions A and B.

A particle moves with a velocity $\left(5\hat{\mathrm{i}}-3\hat{\mathrm{j}}+6\hat{\mathrm{k}}\right){\text{m s}}^{-1}$ under the influence of a constant force $\overrightarrow{F}=\left(10\hat{\mathrm{i}}-10\hat{\mathrm{j}}+20\hat{\mathrm{k}}\right)\text{N.}$ The instantaneous power applied to the particle is