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A particle of mass 0.000117 g and charge 15 mC moves in a region of space...

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Physics

A particle of mass 0.000117 g and charge 15 mC moves in a regionof space where the electric field is uniform and is 4.5 N/C in thex direction and zero in the y and z direction. If the initialvelocity of the particle is given by vy = 3.6 × 10^5 m/s, vx = vz =0, what is the speed of the particle at 0.7 s? Answer in units ofm/s.

Answer & Explanation Solved by verified expert
4.5 Ratings (725 Votes)

If the particle experience a costant force then theacceleration along the y direction is

         ay = e E / m

             = (15×10-3 C)(4.5 N/C) / (1.17*10-7 kg )

             = 5.76×105 m/s2

Using the equation Vy = Voy+ ay t

                                Vy=   ayt           [  Voy = 0]

                                    = (5.76×105 m/s2 )(0.7s)

                                     = 4.03×105 m/s

   As Vx and Vz =0 so the speed is 4.03×105 m/s
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