Spacecraft of mass M moves with velocity V in free space at first, then it explodes breaking i

English

Gujarati

Hindi

5.Work, Energy, Power and Collision

normal

The spacecraft of mass $M$ moves with velocity $V$ in free space at first, then it explodes breaking into two pieces. If after explosion a piece of mass $m$ comes to rest, the other piece of space craft will have a velocity

A

$MV/(M -m)$

B

$MV/(M + m)$

C

$mV/(M -m)$

D

$mV/(M + m)$

Solution

$\mathrm{M} \overrightarrow{\mathrm{v}}=\mathrm{m} \cdot \overrightarrow{\mathrm{O}}+(\mathrm{M}-\mathrm{m}) \overrightarrow{\mathrm{v}}$

$\overrightarrow{\mathrm{v}}=\frac{\mathrm{M \vec v}}{(\mathrm{M}-\mathrm{m})}$

Standard 11

Physics

Share

Similar Questions

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to

normal

A force acts on a $3\, gm$ 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 $meters$ and $t$ is in $seconds$ . The work done during the first $4\, second$ is ………….. $\mathrm{mJ}$

normal

A body of mass $m$ is moving in a circle of radius $r$ with a constant speed $u$. The force on the body is $mv^2/r$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle?

normal

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

normal

A particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $ac$ is varying with time t as $a_c = k^2rt^2$ where $k$ is a constant. The power delivered to the particle by the force acting on it

normal