$(25$ points$)$ A large fish hangs from a spring balance supported from the roof of an elevator.

$($a$)(10$ points$)$ If the elevator has a downward acceleration of $3\mathrm{.}85\frac{m}{s^2}$ and the balance reads $40\mathrm{.}0$ N $,$ then what is the mass of the fish?

$M=3\mathrm{.}05+(\frac{40\mathrm{.}0}{9\mathrm{.}80})$

$M=7\mathrm{.}93(-8)$

$($b$)(10$ points$)$ What would the balance read if the elevator travels down at a constant velocity of $2\mathrm{.}35\frac{m}{s}?$

$($c$)(5$ points$)$ When accelerating upward, the elevator cable suaden$$y oreaks and then the elevator falls downward with the only force acting on it being gravity. What does the scale read now?

$M=(\frac{40\mathrm{.}9}{9\mathrm{.}80})=4\mathrm{.}08kg$

$3$