Integrated ConceptsFusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei toward one another. (a) Calculate the potential energy of two singly charged nuclei separated by 1.00 × 10-12 m by finding the voltage of one at that distance and multiplying by the charge of the other. (b) At what temperature will atoms of a gas have an average kinetic energy equal to this needed electrical potential energy?

(1) A small droplet with a mass of 0.2 g is placed in between the plates. In order to make the droplet float at its original position, how much charge do we need to put on the droplet? Is the charge positive or negative? (2) You are given three types of dielectric materials to fill up the space between the plates (highlighted in light blue). Each material has to take up at least 20% of the total volume of the space. The table below provides the dielectric constant of the materials. Suppose the materials can form any shape. (i) Find a way to fill up the space such that the capacitance of the capacitor is smaller than 24 × 10-10 F. (ii) Find a way to fill up the space such that the capacitance of the capacitor is larger than 52 x 10-10 F. (3) For 2(ii), suppose that the materials are filled sequentially in the order of A–B C and that before filling the space is filled with air. (The dielectric constant of air is 1.) Calculate the electric potential energy stored by the capacitor at each…

Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges Q of the same sign. As a result each string makes angle a to the vertical (see figure below). Calculate m, if 1 = 78.3 cm, Q = 4 µC and a = π/6. Take Coulomb constant ke-8.99×109 Nm² C-2. Give your answer in grams. / / / / L d M

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For problem 49 of the text, calculate the initial speed of the third electron in m/s using a separation of the other two electrons of 0.66 m. Answer in 5 sig figs!!!