A small mouse, which we can call Albert, is suspended from a spring and made to swing up and down. Albert's mass is only $38$ grams and the period of oscillation is found to be $1\mathrm{.}60$ seconds.a$)$ What is the force coefficient $($spring modulus$)$ of the spring?b$)$ Albert swings $8\mathrm{.}5$ cm above and below his equilibrium position on the spring. What is the maximum speed he reaches?c$)$ What is Albert's speed when he is $2\mathrm{.}0$ cm above his equilibrium position?