1 Answer

Khue Vu · Answer 1 · 2021-07-01T13:17:08+0000

$\large\bold{\underline{\underline{Given:-}}}$

$\sf{m_1}$ = 8kg

$\sf{m_2}$ = 4kg

g = 10m/s²

→Acceleration of block

→Tension in strings

Let, the two equation will be ,

$\leadsto$ 8g - T = 8a ..... Equation no (1)

$\leadsto$ T - 4g = 4a ..... Equation no (2)

Putting the value of equation no (1) and (2) we get,

$\implies$ 4g = 12a

$\implies$ 4 × 10 = 12a

$\implies$ 40 = 12a

$\implies$ a =
$\sf\frac{\cancel{40}}{\cancel{12}}$

$\dashrightarrow$ a =
(10)/(3)

Again, we have to putting the value of a in the equation no (2) we get,

$\implies$ T - 4g = 4 ×
(10)/(3)

$\implies$ T - 4 × 10 = 4 ×
(10)/(3)

$\implies$ T - 40 =
(40)/(3)

$\implies$ T =
(40)/(3) + 40

$\implies$ T =
(40 + 120)/(3)

$\dashrightarrow$ T =
(160)/(3) N

$\therefore$ Acceleration of block =
(10)/(3) m/s².

And, Tension in strings =
(160)/(3) N