particle is projected from level ground. Its kinetic energy $K$ changes due to gravity so $\frac{{{K_{\max }}}}{{{K_{\min }}}} = 9$. The ratio of the range to the maximum height attained during its flight is

If the kinetic energy of a body becomes four times of its initial value, then new momentum will

Is kinetic energy a scalar quantity or vector quantity ?

If momentum is increased by $20\%$ , then K.E. increases by ........... $\%$

The machine as shown has $2$ rods of length $1\, m$ connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor  in a slot As the roller goes back and forth, a $2\, kg$ weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a

A body of mass $(4m)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(v).$ The total kinetic energy generated due to explosion is................. $mv^2$