A large fish hangs from a spring balance supported from the roof of an elevator. $($a$)$ If the elevator has an upward acceleration of $2\mathrm{.}45$ m$/$s and the balance reads $60\mathrm{.}0$ N$,$ what is the true weight of the fish? $($b$)$ Under what circumstances will the balance read $35\mathrm{.}0$ N$?($c$)$ What will the balance read if the elevator cable breaks?