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Q.

A balloon and its content having mass M is moving up with an acceleration 'a'. The mass that must be released from the content so that the balloon starts moving up with an acceleration '3a' will be : (Take 'g' as acceleration due to gravity)

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a

$\frac{3 Ma}{2 a - g}$

b

$\frac{3 Ma}{2 a + g}$

c

$\frac{2 Ma}{3 a + g}$

d

$\frac{2 Ma}{3 a - g}$

answer is C.

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Detailed Solution

Question Image

F – mg = ma
F = ma + mg
F – (m – x)g = (m – x) 3a
Put F

Ma + mg – mg + xg = 3ma – 3xa
$x = \frac{2 ma}{g + 3 a}$

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A balloon and its content having mass M is moving up with an acceleration 'a'. The mass that must be released from the content so that the balloon starts moving up with an acceleration '3a' will be : (Take 'g' as acceleration due to gravity)