Search any question & find its solution
Question:
Answered & Verified by Expert
A shell of mass $0.020 \mathrm{~kg}$ is fired by a gun of mass $100 \mathrm{~kg}$. If the muzzle speed of the shell is $80 \mathrm{~ms}^{-1}$ what is the recoil speed of the gun?
Solution:
1365 Upvotes
Verified Answer
Given, Mass of shell, $m=0.02 \mathrm{~kg}$, Mass of gun, $M=100 \mathrm{~kg}$ and Muzzle speed of shell $v=80 \mathrm{~ms}^{-1}$
According to the principle of conservation of linear momentum, $\mathrm{mV}+\mathrm{Mv}=0$
$\therefore v=-\mathrm{mV} / \mathrm{M}=-0.02 \times 80 / 100$
$=0.016 \mathrm{~ms}^{-1}=-0.16 \mathrm{~cm} / \mathrm{s}$
(Negative sign shows that the gun moves in opposite direction of motion of shell.
According to the principle of conservation of linear momentum, $\mathrm{mV}+\mathrm{Mv}=0$
$\therefore v=-\mathrm{mV} / \mathrm{M}=-0.02 \times 80 / 100$
$=0.016 \mathrm{~ms}^{-1}=-0.16 \mathrm{~cm} / \mathrm{s}$
(Negative sign shows that the gun moves in opposite direction of motion of shell.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.