## Question:

Spring scales work by measuring the displacement of a spring that supports both the platform of mass ${ m }_{ p }$ and the object, of mass m, whose weight is being measured. In your solution, note that most scales read zero when no mass m has been placed on them; that is, they are calibrated so that the weight reading neglects the mass of the platform ${ m }_{ p }$. Assume that the spring is linear elastic with spring constant k. If the mass m is gently placed on the spring scale (i.e., it is dropped from zero height above the scale), determine the maximum velocity attained by the mass m as the spring compresses.