An oxygen molecule consists of two oxygen nuclei, each of massm= 2.7×10−26kg, separated by a distance 1.2×10−10m, and surrounded by a cloud of electrons, each ofmass 9.1×10−31kg.(a) ignoring the small mass of the electron, what is the moment of inertia for rotationof the nuclei around their center of mass? if this rotation has angular momentumequal to~, that is, planck’s constant divided by 2π, what is the correspondingenergy of rotation? express your answer in units of electron volts (ev), where 1ev = 1.6×10−19j.(b) suppose one of the electrons orbits in a circular orbit perpendicular to the axisjoining the nuclei, with radius 1×10−10m. this motion contributes a momentof inertia of the molecule along the internuclear axis. how big is this momentof inertia? if the electron has angular momentum~, what is the correspondingenergy of rotation, in ev? (this illustrates, very roughly, the discrepancy betweenelectronic and rotational energy scales in molecules.)

The charge on a charged sphere is: a)concentrated at its centerb)distributed uniformly throughout its volumec)clustered on its centerd)distributed uniformly over its surface

Aheat engine running backward is called a refrigerator if its purpose is to extract heat from a cold reservoir. the same engine running backward is called a heat pump if its purpose is to exhaust warm air into the hot reservoir. heat pumps are widely used for home heating. you can think of a heat pump as a refrigerator that is cooling the already cold outdoors and, with its exhaust heat qh, warming the indoors. perhaps this seems a little silly, but consider the following. electricity can be directly used to heat a home by passing an electric current through a heating coil. this is a direct, 100% conversion of work to heat. that is, 19.0 \rm kw of electric power (generated by doing work at the rate 19.0 kj/s at the power plant) produces heat energy inside the home at a rate of 19.0 kj/s. suppose that the neighbor's home has a heat pump with a coefficient of performance of 4.00, a realistic value. note: with a refrigerator, "what you get" is heat removed. but with a heat pump, "what you get" is heat delivered. so the coefficient of performance of a heat pump is k=qh/win. an average price for electricity is about 40 mj per dollar. a furnace or heat pump will run typically 200 hours per month during the winter. what does one month's heating cost in the home with a 16.0 kw electric heater? what does one month's heating cost in the home of a neighbor who uses a heat pump to provide the same amount of heating?

When the displacement of a mass on a spring is 12a the half of the amplitude, what fraction of the mechanical energy is kinetic energy? at what displacement, as a fraction of a, is the mechanical energy half kinetic and half potential?