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Six capacitors are connected as shown in the given figure. a) If , what does have to be to yield an equivalent capacitance of for the combination of the two capacitors? b) For the same values of and as in part (a), what is the value of that will give an equivalent capacitance of for the combination of the three capacitors? c) For the same values of , and as in part (b), what is the equivalent capacitance of the whole set of capacitors if the values of the other capacitances are , and ? d) If a battery with a potential difference of is connected to the capacitors as shown in the figure, what is the total charge on the six capacitors? e) What is the potential drop across in this case? What is the electric potential, , across ? What is the magnitude and sign of the charge , on the right plate of (marked by point ?
A box of mass on the floor is connected to a horizontal spring of force constant (Figure 7-52). The coefficient of kinetic friction between the box and the floor is . The other end of the spring is connected to a wall. The spring is initially unstressed. If the box is pulled away from the wall a distance and released, the box slides toward the wall. Assume the box does not slide so far that the coils of the spring touch.
Obtain an expression for the distance the box slides before it first comes to a stop.