Answer:
Therefore The hypothesis is not plausible Because
[tex]P.E \geq P.E_e[/tex]
[tex]P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J[/tex]
Explanation:
From the question we are told that:
Mass [tex]M=0.45mg[/tex]
Jump height [tex]h=3.5cm \approx 0.03m[/tex]
Percentage strain [tex]\mu =100\%[/tex]
Generally the equation for potential energy is mathematically given by
[tex]P.E=mgh[/tex]
[tex]P.E=0.45*10^{-3}*9.8*0.03[/tex]
[tex]P.E=12.435*10^{-5}J[/tex]
Generally the equation for Elastic potential energy is mathematically given by
[tex]P.E_e=0.5*stress*strain *volume[/tex]
[tex]P.E_e=0.5*1*2*10^6*1*1.4*10^{-4*(10^-3)^3}[/tex]
[tex]P.E_e=1.4*10^{-7}J[/tex]
The hypothesis is only plausible at conditions where
[tex]P.E\leq P.E_e[/tex]
Therefore The hypothesis is not plausible Because
[tex]P.E \geq P.E_e[/tex]
[tex]P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J[/tex]
