A $2 \,kg$ block is lying on a smooth table which is connected by a body of mass $1\, kg$ by a string which passes through a pulley. The $1\, kg$ mass is hanging vertically. The acceleration of block and tension in the string will be
A $2 \,kg$ block is lying on a smooth table which is connected by a body of mass $1\, kg$ by a string which passes through a pulley. The $1\, kg$ mass is hanging vertically. The acceleration of block and tension in the string will be
$3.27\,m/{s^2},\,6.54\,N$
$4.38\,m/{s^2},\,6.54\,N$
$3.27\,m/{s^2},\,9.86\,N$
$4.38\,m/{s^2},\,9.86\,N$
A $2 \,kg$ block is lying on a smooth table which is connected by a body of mass $1\, kg$ by a string which passes through a pulley. The $1\, kg$ mass is hanging vertically. The acceleration of block and tension in the string will be
Acceleration$ = \frac{{{m_2}}}{{{m_1} + {m_2}}} \times g$ $ = \frac{1}{{2 + 1}} \times 9.8 = 3.27\;m/{s^2}$
and $T = {m_1}a = 2 \times 3.27 = 6.54\;N$
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