Two spheres $A$ and $B$ of masses $m_1$ and $m_2$ respectively collide. $A$ is at rest initially and $B$ is moving with velocity $v$ along $x-$ axis. After collision $B$ has a $\frac {v}{2}$ velocity in a direction perpendicular to the original direction. The mass $A$ moves after collision in the direction
Same as that of $B $
opposite to that of $B$
$\theta = ta{n^{ - 1}}\left( {\frac{1}{2}} \right)$ to the $x-$axis
$\theta = ta{n^{ - 1}}\left( { - \frac{1}{2}} \right)$ to the $x-$axis
A cannon ball is fired with a velocity $200\, m/sec$ at an angle of $60° $ with the horizontal. At the highest point of its flight it explodes into $3$ equal fragments, one going vertically upwards with a velocity $100 \,m/sec$, the second one falling vertically downwards with a velocity $100\, m/sec$. The third fragment will be moving with a velocity
A stationary body of mass $m$ gets exploded in $3$ parts having mass in the ratio of $1 : 3 : 3$. Its two fractions having equal mass moving at right angle to each other with velocity of $15\,m/sec$. Then the velocity of the third body is
A cannon ball is fired with a velocity $200\, m/sec$ at an angle of $60^o$ with the horizontal. At the highest point of its flight it explodes into $3$ equal fragments, one going vertically upwards with a velocity $100\, m/sec$, the second one falling vertically downwards with a velocity $100\, m/sec$. The third fragment will be moving with a velocity
A man is standing at the centre of frictionless pond of ice. How can he get himself to the shore
Two bodies of mass $4 \mathrm{~g}$ and $25 \mathrm{~g}$ are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :