Question $2(20$ points$)$

A $0\mathrm{.}25$ kg mass is placed on a frictionless surface and attached to a horizontal spring with a spring constant of $\backslash (90\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ It is pulled $6\mathrm{.}5$ cm to the right and released, resulting in simple harmonic motion.

a$)$ The amplitude of the motion is

A

cm $.$

$($enter answer to two significant figures$)$

b$)$ The angular frequency of the oscillation is

rad$/$s$.$

$($enter your answer to two significant figures$)$

c$)$ The period of oscillation is

A

s$.$

$($enter your answer to two significant figures$)$

d$)$ The speed of the mass as it pass through the equilibrium point is