Question

A solid sphere of mass m = 2 kg and specific gravity S = 0.5 is held stationary relative to tank filled with water. The tank is accelerating upward width acceleration $2m/s^2$. The tension in the string is found to be 8n. Find the value of n. Given density of water = $1000kg{m}^{-3}$ and $g=10m/s^2$.

• A. 0
• B. 1
• C. 3
• D. 5

Answer 1

Answer: (C)

3

$NLM$ equation on solid sphere$:$

$\rho \left(v\right)\left(g+2\right)-T-mg=ma$

$\Rightarrow 1000\left(\frac{2}{0.5\times 1000}\right)\left(12\right)-T-20=4$

$\Rightarrow T=24N$

$\therefore n=3$

Hence,

option $\left(C\right)$ is correct answer.