Question 51: Laws of Motion

Question

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)

Accepted Answer

$$\begin{aligned}
&\begin{aligned}
& F-m g=m a \
& F=m a+m g \
& F-(m-x) g=(m-x) 3 a
\end{aligned}\
&	ext { Put F }\
&\begin{aligned}
& \mathrm{Ma}+\mathrm{mg}-\mathrm{mg}+\mathrm{xg}=3 \mathrm{ma}-3 \mathrm{xa} \
& \mathrm{x}=\frac{2 \mathrm{ma}}{\mathrm{~g}+3 \mathrm{a}}
\end{aligned}
\end{aligned}$$

Answer

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

Answer

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

Answer

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

Answer

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

Laws of Motion

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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