Q- A mass in the form of a solid cylinder, of radius R acted upon by no forces, moves parallel to its axis through a uniform cloud of fine dust, of volume density ρ, which is at rest. If the particles of dust which meet the mass adhere to it, and if M and u be the mass and the velocity at the beginning of the motion, prove that the distance x traversed in time t is given by the equation

(M+ρπ R^{2}x)^{2} =M^{2} + 2ρπuR^{2}Mt

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Abhigyan Martin NinamaRohit DewalAjay kumar