Find the value of $T_1$ and $T_2$ in the given arrangement.

The mass of an elevator is $800 \mathrm{kg}.$ Calculate the magnitude of tension produced in the cable of the elevator when

$\left(\mathrm{i}\right)$ It is stationary.

$\left(\mathrm{ii}\right)$ It is ascending with an acceleration of $4 \mathrm{m}{ \mathrm{s}}^{-2}.$

$\left(\mathrm{iii}\right)$ It is descending with same acceleration. (Take $g=10 \mathrm{m}{ \mathrm{s}}^{-2})$

$\left(\mathrm{i}\right)$ What are impulsive forces? Give two examples.

$\left(\mathrm{ii}\right)$ How can we measure impulse from force-time graph?

$\left(\mathrm{iii}\right)$ Write $SI$ unit of impulse.

$\left(\mathrm{i}\right)$ Define one newton and one dyne.

$\left(\mathrm{ii}\right)$ A bullet penetrates $3 \mathrm{cm}$ in a wooden plank which produces a resistive force to half its velocity. After how much more distance does the resistive force will stop the bullet?