Mechanics Challenge 3

There is a half-filled round bottomed flask(of spherical shape) with radius \(R = 3 m\) and let the cap be a cylinder of radius \(d = 1.5 m\). The cylinder is attached to a pump which sucks all the liquid filled inside the rb flask out of the flask into the ground. All the liquid is pumped out of the rb flask in \(\tau = 2 s\). Find the minimum work that must be done by the pump to achieve this objective. Put your answer to the nearest integer.

Details and Assumptions

  1. Density of liquid is \(\rho = 1 kgM^{-3}\)

  2. Take \(g = 10 ms^{-2}\)

  3. Height of the cylinder is assumed to be negligible.


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