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1. A rock is dropped off a cliff of height h. As it falls, a camera takes several photographs, at random intervals. At each picture, I measure the distance the rock has fallen. Let the average (expected value) of all of these distances be K into h. If the number of photographs taken is huge, find K. That is: what is the time-average of the distance traveled divided by h, dividing by h? 2.Consider an infinitely long, thin, non-conducting wire, along which there is a uniform line charge density of 20 micro C/m. One end of a mass less, inextensible thread of length 1m is tied at some point on this wire; and a particle of mass m, with a charge of 4.83 micro C is tied at the other end of this thread. The particle is repelled by the charged wire, so that at equilibrium, the taut thread makes an angle of 45° with the wire. Use this information to find the mass m of the particle
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