A $269$ g object attached to a horizontal spring moves in simple harmonic motion with a period of $0\mathrm{.}280$ s$.$ The total mechanical energy of the spring$-$mass system is $5\mathrm{.}06$ J$.$

$($a$)$

What is the maximum speed of the object $($in m$/$s$)?$

m$/$s

$($b$)$

What is the spring constant $($in N$/$m$)?$

N$/$m

$($c$)$

What is the amplitude of the motion $($in m$)?$

m