A block of mass m is attached to a frame by a light spring of force constant k. The frame and block are initially at rest with `x = x_(0)`, the natural length of the spring. If the frame is given a constant horizontal accelration `a_(0)` towards left, determine the maximum velocity of the block relative to the frame (block is free to move inside frame). Ignore any friction.

Options

A. `a_(0)sqrt((m)/(2k))`
B. `a_(0)sqrt((2m)/(k))`
C. `a_(0)sqrt((m)/(k))`
D. `(1)/(2)a_(0)sqrt((m)/(k))`

Answer

C