A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of $12 \;m/ s$.
If the mass of the ball is $0.15 \;kg$, determine the impulse (in $N\;s$) imparted to the ball. (Assume linear motion of the ball)
$4.8$
$2.4$
$4.2$
$3.6$
In an hour-glass approximately $100$ grains of sand fall per second (starting from rest); and it takes $2 \, s$ for each sand particle to reach the bottom of the hour-glass. If the average mass of each sand particle is $0.2 \,g$, then the average force exerted by the falling sand on the bottom of the hour-glass is close to .......... $N$
A stone is dropped from a height $h.$ It hits the ground with a certain momentum $P.$ If the same stone is dropped from a height $100\%$ more than the previous height, the momentum when it hits the ground will change by ........... $\%$
In the figure given below, the position-time graph of a particle of mass $0.1 \,Kg$ is shown. The impulse at $t = 2\sec $ is .......... $kg\,m\,{\sec ^{ - 1}}$
A soldier with a machine gun, falling from an alrplane gets detached from his parachute. He is able to resist the downward acceleration, if he shoots $40$ bullets a second at the speed of $500 \,m / s$. If the weight of a bullet is $49 \,g$, the weight of the man .......... $ \,kg$ with the gun? Ignore resistance due to air and assume the acceleration due to gravity, $g=9.8 \,ms ^{-2}$.
A body of mass $M$ hits normally a rigid wall with velocity $V$ and bounces back with the same velocity. The impulse experienced by the body is