Physics

Physics

Problem

A particle of mass 1.0 mg1.0\,\text{mg} carries a charge of +1.0 nC+1.0\,\text{nC}. It is launched from the origin with a speed of 0.50 m/s0.50\,\text{m/s} directly along the +x+x-axis. The electric potential along this axis is given by V(x)=4x2V(x)=4x^{2}, where xx is in meters and VV in volts. Neglecting all forces other than the electric force, at what xx-coordinate will the particle momentarily come to rest before reversing direction? a) 11 m11\,\text{m} b) 5.6 m5.6\,\text{m} c) 7.9 m7.9\,\text{m} d) 4.0 m4.0\,\text{m}

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