A balloon of mass $10 k g$ is raising up with an acceleration of $20 {m s}^{- 2}$ . If a mass of $4 k g$ removed from the balloon its acceleration becomes (take $g = 10 {m s}^{- 2}$ )

40 {m s}^{- 2}

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20 {m s}^{- 2}

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30 {m s}^{- 2}

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12 {m s}^{- 2}

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Solution

The correct option is A $40 {m s}^{- 2}$
Acceleration of the balloon upwards is a resultant of buoyant force acting upwards and gravitational force acting downwards.
Thus, $m a = B - m g$
$⟹ 200 = B - 100$
$⟹ B = 300 N$
When mass of $4 k g$ is removed,
$m^{'} a^{'} = B - m^{'} g$
$⟹ a^{'} = \frac{B}{m^{'}} - g$ $= \frac{300}{6} - 10 = 40 m / s^{2}$

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A balloon of mass 10 kg is raising up with an acceleration of 20ms−2. If a mass of 4 kg removed from the balloon its acceleration becomes (take g=10ms−2)

The correct option is A 40 ms−2Acceleration of the balloon upwards is a resultant of buoyant force acting upwards and gravitational force acting downwards.Thus, ma=B−mg⟹200=B−100⟹B=300 NWhen mass of 4 kg is removed,m′a′=B−m′g⟹a′=Bm′−g=3006−10=40 m/s2

A balloon of mass $10 k g$ is raising up with an acceleration of $20 {m s}^{- 2}$ . If a mass of $4 k g$ removed from the balloon its acceleration becomes (take $g = 10 {m s}^{- 2}$ )