Assume they have the same fiber type composition for a through c$.$

a$.$ Assuming a maximum muscle stress of $25\frac{N}{c}{m}^2,$ who has a greater PCSA? Show all your work.

b$.$ Assuming Johnny's and Sammy's arms are the same length, who can lift the heavier dumbbell? Show all your work.

c$.$ Who produces a greater force at a velocity of $1\mathrm{.}2\frac{m}{s}?$ Consider Hills Equation and assume $\frac{a}{F_0}=\frac{b}{V_{\text{m}\text{a}\text{x}}}=0\mathrm{.}25.$ Show all your work.

d$.$ Whose muscle is longer originally if Johnny is using fast twitch fibers and Sammy is using slow twitch fibers? $($Slow twitch fibers: $V_{\text{m}\text{a}\text{x}}$~~$\frac{{61}_0}{s},$ fast twitch fibers: $V_{\text{m}\text{a}\text{x}}$~~$16$ lo$/$s$).$ Show all your work.

$4$