How much energy does a fly exert if it does a single push up in cgs units?
(Assuming that a fly is a .25cm x .25cm x .25cm cube of water)
\(\rho=1g/cm^3\)
\(L=0.25cm\)
\(\Delta H=6.25\times 10^{-2}cm\)
\(g=9.8 \times 10^2 cm/sec^2\)
\(m=?\)
\(V=?\)
\(E=?\)
First, lets calculate more about the fly. We know his dimensions, so we can calculate his mass using density.
\[m=\rho V=\rho L^3=1g/cm^3 \times (0.25cm)^3=\boxed{1.6\times 10^{-2}g}\]
Let's assume that our fly decides to be really epic and do a pushup using all four of his limbs such that he lifts his entire body off of the ground instead of just pivoting on his rear legs. Let's also assume that a cubic fly's legs are about \(\frac{1}{4}\) of its height, giving it a change in height of \(\Delta H=0.0625cm\).
(Assuming that a fly is a .25cm x .25cm x .25cm cube of water)
\(L=0.25cm\)
\(\Delta H=6.25\times 10^{-2}cm\)
\(g=9.8 \times 10^2 cm/sec^2\)
\(m=?\)
\(V=?\)
\(E=?\)
First, lets calculate more about the fly. We know his dimensions, so we can calculate his mass using density.
\[m=\rho V=\rho L^3=1g/cm^3 \times (0.25cm)^3=\boxed{1.6\times 10^{-2}g}\]
Let's assume that our fly decides to be really epic and do a pushup using all four of his limbs such that he lifts his entire body off of the ground instead of just pivoting on his rear legs. Let's also assume that a cubic fly's legs are about \(\frac{1}{4}\) of its height, giving it a change in height of \(\Delta H=0.0625cm\).
We now have all of the components necessary to solve for energy exerted in a pushup.
\[E=mg\Delta H=\]
\[E=(1.6\times 10^{-2}g) \times (9.8 \times 10^2 cm/sec^2) \times (6.25\times 10^{-2}cm) \approx \boxed{1.0\text{ }erg}\]
That's not a lot of energy, but for a little fly, that's not too bad.
\[E=(1.6\times 10^{-2}g) \times (9.8 \times 10^2 cm/sec^2) \times (6.25\times 10^{-2}cm) \approx \boxed{1.0\text{ }erg}\]
That's not a lot of energy, but for a little fly, that's not too bad.
No comments:
Post a Comment