With what maximum acceleration can a fireman slide down a ro... | Physics | SolveeIt | Solveeit

Today, August 18

Question

With what maximum acceleration can a fireman slide down a rope whose breaking strength is two third of his weight?

A

$\frac{g}{3}$

B

$\frac{2}{3} g$

C

$\frac{3}{2}g$

D

$\frac{g}{2}$

Answer

$\frac{g}{3}$

Explanation

Solution

Net downward force on fireman is
$ma = mg - T$
As $T_{min} = \frac{2}{3} mg$
$\therefore \, ma_{max} = mg - \frac{2}{3} mg$
or $a_{max} = \frac{g}{3}$