A wire AB 10 metres long is bent into an arc of a circle. It is mounted in a vertical plane so that the tangent at B is horizontal and the tangent at A is at 40 degrees to the horizontal, with the level of B below the level of A. A bead of mass 2 grams is threaded on the wire at A and released. Find its speed when it reaches B: a. if the wire is smooth b. if there is a resistance of constant magnitude 0.004 newtons.
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