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A rectangular tank of mass m0 and charge...

A rectangular tank of mass `m_0` and charge `Q` over it is placed over a smooth horizontal floor. A horizontal electric field `E` 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 velocity of tank as function of time.

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To find the velocity of the tank as a function of time, we can follow these steps: ### Step 1: Identify the forces acting on the tank The forces acting on the tank are: 1. The electrostatic force \( F_e = QE \) acting horizontally due to the electric field. 2. The thrust force due to the rain drops falling into the tank, which can be expressed as \( F_t = mnv \), where \( n \) is the rate of rain drops falling per second and \( m \) is the mass of each drop. ### Step 2: Write the net force equation ...
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