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AP EAMCET202423 May 2024Morning ShiftPhysicsMotion in One DimensionActual

A balloon carrying some sand of mass M is moving down with a constant acceleration a ₀ . The mass ' m ' of sand to be removed so that the balloon moves up with double the acceleration a ₀ is

Options

  1. Am= 2 M a₀ a₀+g
  2. Bm= 2 M a₀ a₀-g
  3. Cm= 3 M a₀ g+2 a₀
  4. Dm= 3 M a₀ g-2 a₀

Correct answer

A. m= 2 M a₀ a₀+g

Step-by-step solution

From the figure, Mg - R = Ma ₀ ....(i) R-(M-m) g=(M-m) a₀ ....(ii) Adding eq(i) and (ii), we get aligned & Mg - Mg + mg =(2 ~m - m ) a ₀ & ~m ( ~g + a ₀ )=2 Ma ₀ & ~m = 2 ma ₀ ~g + a ₀ aligned

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