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Problem A2 - Understand Coulombs Law 12 Write down the vector form of Coulombs Law for the force on a point charge q, which is a distance r from a point charge 42- Sketch and clearly indicate the starting point and direction of all vectors involved. Problem A3 - The connection between Electric field and Coulombs Law f3) The earth has a net electric charge that causes at points near its surface an electric field equal to 150 N/C and directed in towards the centre of the Earth. a) What magnitude and sign of charge would a 60kg human have to acquire to overcome her/his weight by the force ex erted by the Earths electric field? b) What would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100m? c) Is use of the Earths electric field a feasible means of flight? Problem A4 - Apply Coulombs Law using vectors (4) Four fixed charges are placed around a charge 9,-+ e located at the origin, i.e. charge 1: q,-+e , η-31+49 μ m, you fix a fifth charge 4s in order for charge go not to move, and what would the value of 4s be? For simplicity you may take the x-coordinate of the fifth charge to be 1 um. Represent the solution both graphically (with correct position and force vectors) as well as solving the problem mathematically using the vector form of Coulombs Law

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