A block of mass ' $m$ ' (as shown in figure) moving with kinetic energy $E$ compresses a spring through a distance $25\,cm$ when, its speed is halved. The value of spring constant of used spring will be $nE\; Nm ^{-1}$ for $n=$
$26$
$12$
$23$
$24$
Explain work energy theorem.
A bullet looses ${\left( {\frac{1}{n}} \right)^{th}}$ of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be
A uniform cable of mass $‘M’$ and length $‘L’$ is placed on a horizontal surface such that its ${\left( {\frac{1}{n}} \right)^{th}}$ part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be
A raindrop of mass $1.00\, g$ falling from a height of $1\,km$ hits the ground with a speed of $50\,m s^{-1}$. Calculate
$(a)$ the loss of $PE$ of the drop
$(b)$ the gain in $KE$ of the drop
$(c)$ Is the gain in $KE$ equal to loss of $PE$ ? If not why ?
Take, $g = 10\, m s^{-2}$.
A $2\ kg$ object is floating at rest, acted upon by only force as indicated in figure. Find the total work done by the force in $3\ sec$ ..................... $\mathrm{J}$