$A$ force exerts an impulse $I$ on a particle changing its speed from $u$ to $2u$. The applied force and the initial velocity are oppositely directed along the same line. The work done by the force is
$\frac{3}{2}{\text{I}}\,{\text{u}}$
$\frac{1}{2}{\text{I}}\,{\text{u}}$
$I \,u$
$2\, I\, u$
Explain the different forms of energy.
$(a)$ The Equivalence of Mass and Energy
$(b)$ Nuclear Energy
$(c)$ The Principle of Conservation of Energy
Two identical steel cubes (masses $50\,g$, side $1\,cm$) collide head-on face to face with a space of $10\,cm/s$ each. Find the maximum compression of each. Young’s modulus for steel $Y = 2 \times 10^{11}\,Nm^{-2}$.
A number of identical cubical blocks of edge $'a'$ and mass $m$ are lying on a horizontal table. The work done on the blocks in arranging them in a column of height $(n + 1)a$ on the table is
A bullet of mass $20\,g$ has an initial speed of $1\,ms^{-1}$ just before it starts penetrating a mud wall of thickness $20\,cm.$ If the wall offers a mean resistances of $2.5 \times 10^{-2}\,N,$ the speed of the bullet after emerging from the other side of the wall is close to .............. $\mathrm{ms}^{-1}$
Consider a drop of rain water having mass $1\, g$ falling from a height of $1\, km.$ It hits the ground with a speed of $50\, m s^{-1}$. Take $g$ constant with a value $10 \, m s^{-1}$. The work done by the $(i)$ gravitational force and the $(ii)$ resistive force of air is