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AP EAMCET · PHYSICS · Laws of Motion

A balloon of mass \(M\) descends with an acceleration \(a( < g)\). What mass need to be removed from the balloon, so that it starts ascending with acceleration, \(a\) ?

  1. A \(\frac{2 M}{(a+g)}\)
  2. B \(\frac{2 M a}{(a+g)}\)
  3. C \(\frac{2 M a}{(a-g)}\)
  4. D \(\frac{2 M a}{(g-a)}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2 M a}{(a+g)}\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the figure In above figures, \(M\) is the mass of balloon and \(M^{\prime}\) is the mass remove from the ballon. According to Newton's law of motion in first case, \(M g-F=M a \Rightarrow F=M g-M a\) ...(i) According to Newton's second law of…