AP EAMCET · PHYSICS · Motion In One Dimension
A balloon carrying some sand of mass M is moving down with a constant acceleration \(\mathrm{a}_0\). The mass ' \(m\) ' of sand to be removed so that the balloon moves up with double the acceleration \(\mathrm{a}_0\) is
- A \(m=\frac{2 M a_0}{a_0+g}\)
- B \(m=\frac{2 M a_0}{a_0-g}\)
- C \(m=\frac{3 M a_0}{g+2 a_0}\)
- D \(m=\frac{3 M a_0}{g-2 a_0}\)
Answer & Solution
Correct Answer
(A) \(m=\frac{2 M a_0}{a_0+g}\)
Step-by-step Solution
Detailed explanation
From the figure, \(\mathrm{Mg}-\mathrm{R}=\mathrm{Ma}_0\) ....(i) \(R-(M-m) g=(M-m) a_0\) ....(ii) Adding eq(i) and (ii), we get…
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