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# A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall.3.0 J of work is required to

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A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall.3.0 J of work is required to compress the spring by 0.12 m. If the mass is released s from rest with the spring compressed, it experiences a maximum acceleration of 15 $$\displaystyle\frac{{m}}{{s}^{{2}}}$$. Find the value of (a) the spring constant and(b) the mass.
$$\displaystyle{F}={m}{a}$$
$$\displaystyle{k}{x}={m}{a}$$
$$\displaystyle{m}={\frac{{{k}{x}}}{{{a}}}}={\frac{{{\left({416.67}\right)}{\left({0.12}\right)}}}{{{15}}}}={3.33}$$