A bob of mass $\mathrm{M}$ is suspended by a massless string of length $\mathrm{L}$. The horizontal velocity $\mathrm{V}$ at position $\mathrm{A}$ is just sufficient to make it reach the point $B$. The angle $\theta$ at which the speed of the bob is half of that at $A$, satisfies Figure:
$\theta=\frac{\pi}{4}$
$\frac{\pi}{4}<\theta<\frac{\pi}{2}$
$\frac{\pi}{2}<\theta<\frac{3 \pi}{4}$
$\frac{3 \pi}{4}<\theta<\pi$
A space craft of mass $M$ is moving with velocity $V$ and suddenly explodes into two pieces. A part of it of mass m becomes at rest, then the velocity of other part will be
A particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at $x = 0$, its velocity at $x = 12\,m$ is .......... $m/s$
In a system of particles, internal forces can change (for the system)
A uniform chain of length $3\, meter$ and mass $3\, {kg}$ overhangs a smooth table with $2\, meter$ laying on the table. If $k$ is the kinetic energy of the chain in joule as it completely slips off the table, then the value of ${k}$ is (Take $\left.g=10\, {m} / {s}^{2}\right)$
Two balls at same temperature collide. What is conserved