A bob of mass $0.1\; kg$ hung from the celling of a room by a string $2 \;m$ long is set into oscillation. The speed of the bob at its mean position is $1\; m s ^{-1}$. What is the trajectory of the bob if the string is cut when the bob is
$(a) $ at one of its extreme positions,
$(b)$ at its mean position.
$(a)$ Vertically downward with Parabolic path
At the extreme position, the velocity of the bob becomes zero. If the string is cut at this moment, then the bob will fall vertically on the ground.
$(b)$ At the mean position, the velocity of the bob is $1\; m/s$. The direction of this velocity is tangential to the arc formed by the oscillating bob. If the bob is cut at the mean position, then it will trace a projectile path having the horizontal component of velocity only. Hence, it will follow a parabolic path.
Explain the conservation of linear momentum for the radioactive decay of radium nucleus.
An object of mass $3\,m$ splits into three equal fragments. Two fragments have velocities $v\hat j$ and $v\hat i$. The velocity of the third fragment is
$A$ system of $N$ particles is free from any external forces. Which of the following is true for the magnitude of the total momentum of the system?
An initially stationary device lying on a frictionless floor explodes into two pieces and slides across the floor one piece is moving in positive $x$ direction then other peice is moving in
An artillery piece of mass $M_1$ fires a shell of mass $\mathrm{M}_2$ horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is: