A body moving with speed v in space explodes into two piece of masses in ratio 1 : 3. If the&nb

English

Gujarati

Hindi

5.Work, Energy, Power and Collision

normal

A body moving with speed $v$ in space explodes into two piece of masses in the ratio $1 : 3.$ If the smaller piece comes to rest, the speed of the other piece is

A

$4v$

B

$v$

C

$\frac{4v}{3}$

D

$\frac{3v}{4}$

Solution

$\mathrm{mu}=\mathrm{m}_{1} \mathrm{v}_{1}+\mathrm{m}_{2} \mathrm{v}_{2}$

$\mathrm{mv}=0+\frac{3}{4} \mathrm{mv}_{2} \Rightarrow \mathrm{v}_{2}=\frac{4 \mathrm{v}}{3}$

Standard 11

Physics

Share

Similar Questions

In an elastic collision of two particles the following quantity is conserved

normal

A force of $\left( {2\hat i + 3\hat j + 4\hat k} \right)\,N$ acts on a body for $4\, sec$ and produces a displacement of $\left( {3\hat i + 4\hat j + 5\hat k} \right)\,m.$ The power used is …………. $\mathrm{W}$

normal

A force acts on a $3.0\ g$ particle in such a way that the position of the particle as a function of time is given by:

$x = 3t – 4t^2 + t^3$

Where $x$ is in metres and $t$ is in seconds. The work done during the first $4\ s$ is …………….. $\mathrm{mJ}$

normal

If the potential energy of a gas molecule is

$U = \frac{M}{{{r^6}}} – \frac{N}{{{r^{12}}}}$,

$M$ and $N$ being positive constants, then the potential energy at equilibrium must be

normal

A batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball's vertical velocity $v$ with time between the time ${t_1}$ as it hits the bat and time $t_2$ when it touches the ground

medium