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
$1$ implies $2$ and $2$ implies $1$
$1$ does not imply $2$ and $2$ does not imply $1$
$1$ implies $2$ but $2$ does not imply $1$
$1$ does not imply $2$ but $2$ implies $1$
Two carts of masses $200\, kg$ and $300 \,kg$ on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the $200 \,kg$ cart travels a distance of $36 \,m$ and stops, then the distance travelled by the cart weighing $300 \,kg$ is ........ $m$
Two masses of $1\,kg$ and $16\,kg$ are moving with equal K.E. The ratio of magnitude of the linear momentum is
Tripling the speed of the motor car multiplies the distance needed for stopping it by
A particle is dropped from a height $h$. A constant horizontal velocity is given to the particle. Taking $g$ to be constant every where, kinetic energy $E$ of the particle w. r. t. time t is correctly shown in
If the momentum of a body is increased $n$ times, its kinetic energy increases