A man is standing in lift which goes up and comes down with the same constant acceleration. If the ratio of the apparent weights in the two cases is $2 : 1$ , then the acceleration of the lift is

3.33 m s^{- 2}

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2.50 m s^{- 2}

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2.00 m s^{- 2}

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1.67 m s^{- 2}

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Solution

The correct option is C $3.33 m s^{- 2}$
$\begin{matrix} \frac{m (g + a)}{m (g - a)} = \frac{2}{1} \Rightarrow g + a = 2 g - 2 a \Rightarrow a = \frac{g}{3} = \frac{10}{3} = 3.33 m / s^{2} A n s . (A) \end{matrix}$

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A man is standing in lift which goes up and comes down with the same constant acceleration. If the ratio of the apparent weights in the two cases is 2:1, then the acceleration of the lift is

The correct option is C 3.33ms−2m(g+a)m(g−a)=21⇒g+a=2g−2a⇒a=g3=103=3.33m/s2Ans.(A)

A man is standing in lift which goes up and comes down with the same constant acceleration. If the ratio of the apparent weights in the two cases is $2 : 1$ , then the acceleration of the lift is

The correct option is C $3.33 m s^{- 2}$
$\begin{matrix} \frac{m (g + a)}{m (g - a)} = \frac{2}{1} \Rightarrow g + a = 2 g - 2 a \Rightarrow a = \frac{g}{3} = \frac{10}{3} = 3.33 m / s^{2} A n s . (A) \end{matrix}$