A free body of mass $8\, kg$ is travelling at $2\, meter$ per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases $16 \,joules$ of energy. Neither part leaves the original line of motion finally
Both parts continue to move in the same direction as that of the original body
One part comes to rest and the other moves in the same direction as that of the original body
One part comes to rest and the other moves in the direction opposite to that of the original body
One part moves in the same direction and the other in the direction opposite to that of the original body
$A$ small sphere is moving at $a$ constant speed in $a$ vertical circle. Below is a list of quantities that could be used to describe some aspect of the motion of the sphere.
$I$ - kinetic energy
$II$- gravitational potential energy
$III$ - momentum
Which of these quantities will change as this sphere moves around the circle?
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 $\left.g=10\, {m} / {s}^{2}\right)$
A sphere of mass $m$, moving with velocity $V$, enters a hanging bag of sand and stops. If the mass of the bag is $M$ and it is raised by height $h$, then the velocity of the sphere was
$A$ section of fixed smooth circular track of radius $R$ in vertical plane is shown in the figure. $A$ block is released from position $A$ and leaves the track at $B$. The radius of curvature of its trajectory when it just leaves the track at $B$ is:
As per the given figure, two blocks each of mass $250\,g$ are connected to a spring of spring constant $2\,Nm ^{-1}$. If both are given velocity $V$ in opposite directions, then maximum elongation of the spring is: