A ball P collides with another identical ball Q at rest. For what value of coefficient of

English

Gujarati

Hindi

5.Work, Energy, Power and Collision

normal

A ball $P$ collides with another identical ball $Q$ at rest. For what value of coefficient of restitution $e$, the velocity of ball $Q$ become two times that of ball $P$ after collision

A

$\frac{1}{3}$

B

$\frac{1}{2}$

C

$\frac{1}{4}$

D

$\frac{1}{6}$

Solution

$\mathrm{v}_{1}=\left(\frac{1-\mathrm{e}}{2}\right) \mathrm{u}_{1}$ and $\mathrm{v}_{2}=\left(\frac{1+\mathrm{e}}{2}\right) \mathrm{u}_{1}$

$\text { Now } \quad v_{2}=2 v_{1}$

$\left(\frac{1+\mathrm{e}}{2}\right) \mathrm{u}_{1}=2\left(\frac{1-\mathrm{e}}{2}\right) \mathrm{u}_{1}$

$e=\frac{1}{3}$

Standard 11

Physics

Share

Similar Questions

A frictionless track $ABCDE$ ends in a circular loop of radius $R$ .A body slides down the track from point $A$ which is at a height $h = 5\, cm$. Maximum value of $R$ for the body to successfully complete the loop is ……………… $\mathrm{cm}$

normal

The work done by a force $\vec F\, = \,( – \,6{x^3}\,\hat i)N$ , in displacing a particle from $x = 4\,m$ to $x = -\,2\,m$ is ………….. $\mathrm{J}$

normal

A block of mass $0.50\, kg$ is moving with a speed of $2.00\, ms^{-1}$ on a smooth surface. It strikes another mass of $1.00\, kg$ and then they move together as a single body. The energy loss during the collision is ………….. $\mathrm{J}$

normal

A spring of force constant $K$ is first stretched by distance a from its natural length and then further by distance $b$. The work done in stretching the part $b$ is ………….

normal

A light and a heavy body have equal kinetic energy. Which one has a greater momentum

normal