$A$ Diwali cracker releases $25 \text{ g}$ of gas per second with a speed of $400 \text{ m/s}$ after an explosion. The force exerted by the gas on the cracker is:

$A$ Diwali rocket is ejecting $0.05\, kg$ of gases per second at a velocity of $400\, m/s$. The accelerating force on the rocket is

$A$ solid disc of mass $M$ is held horizontally in the air by throwing $40$ stones per second vertically upwards to strike the disc,each with a velocity of $6\,m/s$. If the mass of each stone is $0.05\,kg$,what is the mass of the disc in $kg$? (Take $g = 10\,m/s^2$)

$A$ rocket is fired vertically from the ground with a resultant vertical acceleration of $10 \,m/s^2$. The fuel is exhausted in $1 \,min$ and it continues to move up. What is the maximum height reached (in $\,km$)?

$A$ cart loaded with sand is moving with velocity $v$. Sand is falling through a hole as shown in the diagram. After falling on the ground,the sand is:

$A$ stationary rocket of initial mass $m_0$ is expelling exhaust gas at a steady speed $v_e$ with respect to itself. There is no external force on the rocket. When its mass is reduced to $\frac{m_0}{2}$,the velocity attained by the rocket will be: