Question
A thin rod lies along the positive x-axis and has uniform lin- ear charge density = +4.0 1015 C/m. Its left end is lo- cated
A thin rod lies along the positive x-axis and has uniform lin- ear charge density = +4.0 1015 C/m. Its left end is lo- cated at x0 = +1.5 m, and its right end extends out to infin- ity. A proton is placed at the origin and released from rest. Determine the proton's acceleration immediately after being released. (Hint: this will require building and evaluating an integral.) In your diagram, make sure to pick out an arbitrary element of charge along the rod, and indicate the force it exerts on the proton. For your limit check, investigate what happens to the proton's initial acceleration as the left end of the rod is moved farther away from the origin (i.e., as x0 ).
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