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  4. A particle is projected along a horizontal field whose coefficient of friction varies as μ=A / r2, where r is the distance from the origin in metres and A is a positive constant. The initial distance of the particle is 1 m from the origin and its velocity is radially outwards. The minimum initial velocity at this point so the particle never stops is

Q. A particle is projected along a horizontal field whose coefficient of friction varies as , where is the distance from the origin in metres and is a positive constant. The initial distance of the particle is from the origin and its velocity is radially outwards. The minimum initial velocity at this point so the particle never stops is

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Solution:

Work done against friction must equal to the initial kinetic energy.




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