Answer
$T_1 =4.54\ N$
Work Step by Step
Applying newton second law for mass $m_1$;
$T_1 - m_1g =m_1 a$
$T_1 = m_1 (a+g)$
$T_1 =(0.46\ kg)(0.06\ m/s^2+9.8\ m/s^2)$
$T_1 =4.54\ N$
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