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Question

A charged particle of mass m=2 kg and charge q=2 μC is thrown from a horizontal ground at an angle θ=45 with the speed 25 m/s, In space a horizontal electric field E=2×107 V/m exist in the direction of motion, The range on horizontal ground of the projectile thrown is 3.125×10xm . Find x. Take g=10ms2.

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Solution

time of flight = t=2uyg
horizontal acceleration of charge = a=Eqm
inital velocity along horizontal =ux=uy=25cos45=252
range = uxt+12at2=312.5m

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