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An empty tin can of mass M is sliding wi...

An empty tin can of mass M is sliding with speed `V_(0)` across a horizontal sheet of ice in a rain storm. The area of opening of the can is A. The rain is falling vertically at a rate of n drops per second per square metre. Each rain drop has a mass m and is falling with a terminal velocity `V^(n)`. (a) Neglecting friction, calculate the speed of the can as a function of time,(b) Calculate the normal force ofreaction ofice on the can as a function of time.

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The correct Answer is:
`[v=M(V_(0))/(M+mAnt),Fn=Mg+nAm(Vn+g t)" upwards"]`
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