A balloon of mass `m’ is rising with an acceleration `a’. A fraction of its mass is detached from the balloon. Its acceleration will

Decrease

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Increase

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Remain the same

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None of these

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Solution

The correct option is B Increase
Suppose upthrust = Reaction = R
R= m(g+a)
If mass $m_{1}$ is detached
$R = (m - m_{1}) g + (m - m_{1}) g + (m - m_{1}) 2 a$
$m (g + q) = (m - m_{1}) g + (m - m_{1}) 2 a$
$= (m - m_{1}) (g + 2 a)$
$∴ m_{1} = \frac{m (g + a)}{g + 2 a}$

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A balloon of mass `m’ is rising with an acceleration `a’. A fraction of its mass is detached from the balloon. Its acceleration will

The correct option is B IncreaseSuppose upthrust = Reaction = R R= m(g+a) If mass m1 is detached R=(m−m1)g+(m−m1)g+(m−m1)2a m(g+q)=(m−m1)g+(m−m1)2a =(m−m1)(g+2a) ∴m1=m(g+a)g+2a

The correct option is B Increase
Suppose upthrust = Reaction = R
R= m(g+a)
If mass $m_{1}$ is detached
$R = (m - m_{1}) g + (m - m_{1}) g + (m - m_{1}) 2 a$
$m (g + q) = (m - m_{1}) g + (m - m_{1}) 2 a$
$= (m - m_{1}) (g + 2 a)$
$∴ m_{1} = \frac{m (g + a)}{g + 2 a}$