A $296$ g object is attached to a spring and executes simple harmonic motion with a period of $0\mathrm{.}300$ s$.$ If the total energy of the system is $4\mathrm{.}81$ J$.$

$($a$)$ Find the maximum speed of the object.

$($b$)$ Find the force constant of the spring.

$($c$)$ Find the amplitude of the motion.