Entrance Exams Q&A: Q. 1.15 - "Problems in General Physics" by I.E. Irodov

$\begin{justify} \textbf{Question}: An elevator car whose floor-to-ceiling dista... ...the free fall in the reference frame fixed to the elevator shaft. \end{justify}$

$\begin{justify} \noindent\textbf{Answer}: When the bolt gets detached from th... ...as $t_0$. Also, let us denote the elevator's acceleration as $a$. \end{justify}$

$\begin{justify} After detaching, the bolt experiences an acceleration of magnit... ...his is in direction opposite to the acceleration of the elevator. \end{justify}$

$\begin{justify} Thus the bolt's acceleration relative to the elevator floor is ... ...ion. And the bolt's initial speed relative to elevator floor is 0. \end{justify}$

$\begin{justify} The bolt travels $l$, the floor-to-ceiling distance in the elev... ...gin{eqnarray*} d & = & a t_0 t - \frac{1}{2}gt^2 \end{eqnarray*}\end{justify}$

$\begin{justify} Now, to calculate the total distance covered by the bolt, we sh... ...ay*} The negative sign indicates that the bolt traveled downwards. \end{justify}$

$\begin{justify} Now, to get the total distance covered by bolt, we need to get ... ...} 2h + d & = & 2 \times 0.3 + 0.7 \\ & = & 1.3m \end{eqnarray*}\end{justify}$

Entrance Exams Q&A

July 29, 2008

Q. 1.15 - "Problems in General Physics" by I.E. Irodov

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