An elastic string of natural length 2 metres and modulus of elasticity 40 newtons is stretched between two fixed pegs 4 metres apart on a smooth horizontal table. A particle of mass 0.1kg is attached to the string at its midpoint and pulled aside through a distance of 1 metre at right angles to the line joining the pegs. After the particle is released, how fast is it moving when it crosses the line joining the pegs?
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