You have been asked to evaluate the design for a simple device to measure the mass of small rocks on the Moon. The rock is attached to the free end of a lightweight spring which horizontal. The surface on which the rock slides is almost frictionless. You are worried that the kinetic energy of the rock may make this device dangerous in some situations. The device specifications state that a $150$ gram rock will execute harmonic motion, with a frequency of $0\mathrm{.}32$ Hz $,$ described by x$($t$)=$ Asin$($bt$-35\backslash$deg $)$ when the rock has an initial speed of $1\mathrm{.}2c\frac{m}{s}.$