At a certain instant of time the mass of a rocket going up vertically is $100 \,kg$. If it is ejecting $5 \,kg$ of gas per second at a speed of $400\, m/s$, the acceleration of the rocket would be ........ $m/{s^2}$ (taking $g = 10\,m/{s^2})$
At a certain instant of time the mass of a rocket going up vertically is $100 \,kg$. If it is ejecting $5 \,kg$ of gas per second at a speed of $400\, m/s$, the acceleration of the rocket would be ........ $m/{s^2}$ (taking $g = 10\,m/{s^2})$
$20$
$10$
$2$
$1$
At a certain instant of time the mass of a rocket going up vertically is $100 \,kg$. If it is ejecting $5 \,kg$ of gas per second at a speed of $400\, m/s$, the acceleration of the rocket would be ........ $m/{s^2}$ (taking $g = 10\,m/{s^2})$
The acceleration of a rocket is given by
$a = \frac{v}{m}\left( {\frac{{\Delta m}}{{\Delta t}}} \right) - g = \frac{{400}}{{100}}\left( {\frac{5}{1}} \right) - 10$
$ = (20 - 10) = 10\,\,m/{s^2}$