With what minimum acceleration can an athletic climb a rope whose breaking strength is (1/3)rd of his weight?

Question

With what minimum acceleration can an athletic climb a rope whose breaking strength is (1/3)rd of his weight? (A) 6.53 m/s2 (B) 7 m/s2 (C) 8 m/s2 (D) 7.23 m/s2

Tardigrade Admin · Accepted Answer

T = m ( g + a ) T = mg (1+( a / g )) ( Mg /3)= Mg (1+( a / g )) ⇒ (1/3)=1+( a / g ) ⇒ ( a / g )=1-(1/3) ( a / g )=(2/3) ⇒ a =6.53 m / s 2

Q. With what minimum acceleration can an athletic climb a rope whose breaking strength is $\frac{1}{3}$ rd of his weight?

$6.53 m / s^{2}$

$7 m / s^{2}$

$8 m / s^{2}$

$7.23 m / s^{2}$

$T = m (g + a)$
$T = m g (1 + \frac{a}{g})$
$\frac{M g}{3} = M g (1 + \frac{a}{g})$
$\Rightarrow \frac{1}{3} = 1 + \frac{a}{g}$
$\Rightarrow \frac{a}{g} = 1 - \frac{1}{3}$
$\frac{a}{g} = \frac{2}{3}$
$\Rightarrow a = 6.53 m / s^{2}$

Q. With what minimum acceleration can an athletic climb a rope whose breaking strength is 31​rd of his weight?

6.53m/s2

7m/s2

8m/s2

7.23m/s2