A massless string with constant tension T has one end attached to a wall and the other

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A massless string with constant tension T has one end attached to a wall and the other end attached to a mass M. The initial length of the string is ? (see Figure). The mass is released. Halfway to the wall, the back half of the mass breaks away from the front half (with zero initial relative speed). What is the total time it takes the front half to reach the wall?image

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