A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses $1\, g$ and $3\;g$. The total K.E. of the fragments is $6.4 \times {10^4}J$. What is the K.E. of the smaller fragment
$2.5 \times {10^4}J$
$3.5 \times {10^4}J$
$4.8 \times {10^4}J$
$5.2 \times {10^4}J$
If the momentum of a body is increased $n$ times, its kinetic energy increases
Two masses of $1\,kg$ and $16\,kg$ are moving with equal K.E. The ratio of magnitude of the linear momentum is
A cylinder of $10 \,kg$ is sliding in a plane with an initial velocity of $10 \,m/s$. If the coefficient of friction between the surface and cylinder is $0.5$ then before stopping, it will cover. $(g = 10\,\,m/{s^2})$ ........ $m$
A ball is projected from ground at an angle of $\theta $ from horizontal then graph of kinetic energy and time will be
Consider the following two statements
$1.$ Linear momentum of a system of particles is zero
$2.$ Kinetic energy of a system of particles is zeroThen