A mass 1 kg is suspended by a thread. It

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A mass $1\, kg$ is suspended by a thread. It is

$(i)\,$ lifted up with an acceleration $4.9\,m/{s^2}$

$(ii) \,$lowered with an acceleration $4.9\,m/{s^2}$.

The ratio of the tensions is

A

$3:1$

B

$1:3$

C

$1:2$

D

$2:1$

A mass $1\, kg$ is suspended by a thread. It is

$(i)\,$ lifted up with an acceleration $4.9\,m/{s^2}$

$(ii) \,$lowered with an acceleration $4.9\,m/{s^2}$.

The ratio of the tensions is

${T_1} = m\,(g + a) = 1 \times \left( {g + \frac{g}{2}} \right) = \frac{{3g}}{2}$

${T_2} = m\,(g - a) = 1 \times \left( {g - \frac{g}{2}} \right) = \frac{g}{2}$

$\frac{{{T_1}}}{{{T_2}}} = \frac{3}{1}$