Question

A solid sphere of mass ${}^{m=2kg}$ and specific gravity $s=0.5$ is held stationary relative to tank filled with water as shown. The tank is accelerating vertically upward with acceleration $a=2m{s}^{-2}$. The tension in the thread connected between the sphere and the bottom of the tank is $[g=10m/s^2]$

Answer 1

According to the question,

$T=B-W$

$=V(\sigma -\rho )(g+a)$

$=\frac{m}{\rho }[\sigma -\rho )(g+a)$

$=m(\frac{\sigma }{\rho }-1)(g+a)$

Here, $\frac{\sigma }{\rho }$ is specific gravity $=0.5$ and mass $m=2kg$

$g=10m{s}^{-2},a=2m{s}^{-2}$

$T=2[0.5-1][10+2]$

$=2[-0.5]\left[12\right]$

$=-12$