A $0\mathrm{.}297-kg$ particle undergoes simple harmonic motion along the horizontal $x-$axis between the points $x_1=-0\mathrm{.}225m$ and $x_2=0\mathrm{.}491m.$ The period of oscillation is $0\mathrm{.}581s.$ Find the frequency, $f,$ the equilibrium position, $x_{eq},$ the amplitude, $A,$ the maximum speed, $v_{\text{m}\text{a}\text{x}},$ the maximum magnitude of acceleration, $a_{\text{m}\text{a}\text{x}},$ the force constant, $k,$ and the total mechanical energy, $E_{\text{t}\text{o}\text{t}}.$

$f=$

$Hz,x_{eq}=Cm$

$A=$

$m$

$v_{\text{m}\text{a}\text{x}}={}_{\text{I}\text{n}\text{c}\text{o}\text{r}\text{r}\text{e}\text{c}\text{t}}\frac{m}{s}$

$a_{\text{m}\text{a}\text{x}}=m^{\text{i}\text{n}\text{c}\text{o}\text{r}\text{r}\text{e}\text{c}\text{t}},k=s^2,\frac{N}{m}$

$E_{\text{t}\text{o}\text{t}}={}_{\text{i}\text{n}\text{c}\text{o}\text{r}\text{r}\text{e}\text{c}\text{t}}J$