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A ball of mass 2 kg having charge 1 C is dropped from the top of a very high tower. In space electric field exist in horizontal direction away from tower which varies as E=(5-2 x) 10^6 ~V / m (where x is horizontal distance from tower). Find the maximum horizontal distance (in m ) ball can go from the tower. (no air resistance)

Correct answer

5

Step-by-step solution

aligned & F _ x = (1 10⁻⁶ )(5-2 x ) 10^6=5-2 x a _ x = 5-2 x 2 , v _ x dv _ x dx = 5-2 x 2 & ₀^0 2 v_x d v_x= ₀^ X _ m (5-2 x ) dx 5 X _ - X _ max ^2=0 aligned

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