Sphere 1 with radius r1 has positive charge q. sphere 2 with radius 4.0r1 is far from sphere 1 and initially uncharged. after the separated spheres are connected with a wire thin enough to retain only negligible charge, (a) is potential v1 of sphere 1 greater than, less than, or equal to potential v2 of sphere 2? what fraction of q ends up on (b) sphere 1 and (c) sphere 2? (d) what is the ratio of the final surface charge density of sphere 1 to that of sphere 2? (answer with 2 significant figures.)

An object has a weight of 500 on earth what is the mass of this object

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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.