in this problem we will examine an "electric dipole". many systems can be viewed as consisting of equal and opposite electric charges separated by some distance (e. g. the salt molecule nacl). thus, t is important to understand their cumulative electrical effect on their surroundings. using a-0.1 m and d-1 m, determine the net electric force on q then repeat this but use d 2 m. by what factor did the net electric force change? explain this result. note that the distance d extends from q to the point halfway between the other two charges b: now use a binomial expansion to expand the electric force from each charge in the dipole in terms of a/(2d). show that after "adding" the electric forces due to each charge that the first remaining term depends upon 1/d3. here is the binomial expansion if x < 1. m(m-1)(m-2 m-n1)zn 飆 ti

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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