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

A block starts moving up an inclined plane of inclination $30°$ with an initial velocity of $v_0$. It comes back to its initial position with velocity $\frac{v_0}{2}$. The value of the coefficient of kinetic friction between the block and the inclined plane is close to $\frac{I}{1000}.$ The nearest integer to $I$ is _____.

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 $p+q$?

A point-like mass moves horizontally between two walls on a frictionless surfaces with initial kinetic energy $E.$ With every collision with the walls, the mass loses $50\%$ of its kinetic energy to thermal energy. How many collisions with the walls are necessary before the speed of the mass is reduced by a factor of $8$ (means it becomes $\frac{1}{8}$th of initial speed) ?

The potential energy$\left(U\right)$ of a diatomic molecule is a function dependent on $r$ (interatomic distance) as $U=\frac{\alpha }{r^{10}}-\frac{\beta }{r^5}-3$, where, $\alpha$ and $\beta$ are positive constants. The equilibrium distance between two atoms is ${\left(\frac{2\alpha }{\beta }\right)}^{\frac{a}{5}}$, where $\mathrm{a}=$

A car of mass $m$ is driven with acceleration $a$ along a straight level road against a constant external resistive force $R.$ When the velocity of the car is $V,$ the rate at which the engine of the car is doing work will be

A small sphere of mass $m=1 kg$ is moving with a velocity $\left(4\hat{i}-\hat{j}\right)m/s$. It hits a fixed smooth wall and rebound with velocity $\left(\hat{i}+3\hat{j}\right)m/s$. If the coefficient of restitution between the sphere and the wall is $n/16$, then find the value of $n$.

A ball with a speed of $9 \mathrm{m}/\mathrm{s}$ collides with another identical ball at rest. After thecollision, the direction of each ball makes an angle of $30°$ with the original direction. The ratio of velocities of the balls after collision is $x: y,$ where $x$ is

Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from $x=0$ to $x=35 \mathrm{m}$ is equal to