A particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown. If it starts its journey from rest at $x=0$, then its velocity at $x=12 \,m$ is .............. $m / s$
$0$
$20 \sqrt{2}$
$20 \sqrt{3}$
$40$
A bullet is fired from a gun. If the gun recoils freely, the kinetic energy of the gun will be
A block moving horizontally on a smooth surface with a speed of $40\, {m} / {s}$ splits into two parts with masses in the ratio of $1: 2$. If the smaller part moves at $60\, {m} / {s}$ in the same direction, then the fractional change in kinetic energy is :-
A body moving with velocity $v$ has momentum and kinetic energy numerically equal. What is the value of $v$ ........$m/s$
If work is positive, then kinetic energy increases or decreases ?
An object of $1 \,kg$ mass has a momentum of $10 \,kg$ $m/sec $ then the kinetic energy of the object will be .............. $\mathrm{J}$