Acollege friend of yours who has been postponing taking any science courses hears you talking about the generation of nuclear energy in the sun and makes the following observation: "the whole idea of the atomic nucleus is pretty ridiculous. if an oxygen nucleus consists of eight protons and eight neutrons, the charge on that nucleus is positive. since even i learned in high school that like charges repel, such a nucleus would find all its positive protons repelling and quickly fall apart." how would you answer his argument?

In positive numbers less than 1, the zeros between the decimal point and non zero are significant

Alinearly polarized electromagnetic wave has an average intensity of 196 w/m^2. this wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). polarizer a is oriented with its transmission axis at an angle of θ_1=20.8∘ with the incident electric field. polarizer b has its axis at an angle of θ_2=63.0∘ with the incident electric field. what is the average intensity of the wave after it passes through polarizer a? what is the average intensity of the wave after it passes through polarizer b? suppose that the two polarizers a and b are interchanged. what would the average intensity be after passing through both polarizers?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.