When a $4 \,kg$ rifle is fired, the $10 \,g$ bullet receives an acceleration of $3 \times 10^6 \,cm / s ^2$. The magnitude of the force acting on the rifle (in newton) is ............
Zero
$120$
$300$
$3000$
A trolley containing water has total mass $4000\, kg$ and is moving at a speed of $40\, m/s$. Now water start coming out of a hole at the bottom of the trolley at the rate of $8\,kg/s$. Speed of trolley after $50\, s$ is ............ $m/s$
The figure shows the position - time $(x-t)$ graph of one-dimensional motion of the body of mass $0.4\; kg$. The magnitude of each impulse is
A block is placed on a rough horizontal plane. A time dependent horizontal force $F = kt$ acts on the block, where $k$ is a positive constant. The acceleration - time graph of the block is
A rocket is propelled by a gas which is initially at a temperature of $4000\, K$. The temperature of the gas falls to $1000\, K$ as it leaves the exhaust nozzle. The gas which will acquire the largest momentum while leaving the nozzle, is