A rectangular tank of mass `m_(0)` and charge Q is placed over a smooth horizontal floor. A horizontal electric field£ exist in the region. Rain drops are falling vertically in the tank at the constant rate of n drops per second. Mass of each drop is m. Find velocityoftank as function of time.

A rectangular tank of mass `m_(0)` and charge Q is placed over a smoot

1.	A rectangular tank of mass `m_(0)` and charge Q is placed over a smooth horizontal floor. A horizontal electric field£ exist in the region. Rain drops are falling vertically in the tank at the constant rate of n drops per second. Mass of each drop is m. Find velocityoftank as function of time.
Answer» Two forces will act on the tank a. Electrostatic force b. Thrust force. let v bet the velocity at any instat. Then, `F_("net")=QE-mnv` `or `(m_0+mnt)(dv)/(dt)=QE=mnv` or `int_0^v (dv)/(QE-mnv)=int_0^t (dt)/(m_0+mnt)` or `"ln" ((QE)/(QE-mnv))="In" ((m_0+mnt)/m_0)` or `(QE)/(QE-mnv)=(m_0+mnt)/m_0` or` v=QE(t/(m_0+mnt))`

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A rectangular tank of mass `m_(0)` and charge Q is placed over a smooth horizontal floor. A horizontal electric field£ exist in the region. Rain drops are falling vertically in the tank at the constant rate of n drops per second. Mass of each drop is m. Find velocityoftank as function of time.

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