As the whole system is going up with acceleration $a=$ $2 m s^2$
As given that, $m_1=5 \mathrm{~kg}, m_2=3 \mathrm{~kg}$
Tension, $g=9.8 \mathrm{~m} / \mathrm{s}^2$


Tension a string is equal and opposite in all parts of a string.
For the upper block of mass $5 \mathrm{~kg}$, the forces on mass $m_1$.
$$
\begin{aligned}
&T_1-T_2-m_1 g=m_1 a \\
&T_1-T_2-5 g=5 a \\
&T_1-T_2=5(g+a)
\end{aligned}
$$
For the lower block of mass $3 \mathrm{~kg}$, the force on mass $m_2$
$$
\begin{aligned}
&T_2-m_2 g=m_2 a \\
&T_2-3 g=3 a \\
&T_2=3(g+a)=3(9.8+2)=35.4 \mathrm{~N}
\end{aligned}
$$
From eq. (i),
$$
\begin{aligned}
T_1 &=T_2+5(g+a) \\
&=35.4+5(9.8+2)=94.4 \mathrm{~N}
\end{aligned}
$$