Understanding the Net Force on a Snorkeler's Eardrum

guyvsdcsniper
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Homework Statement
What is the net force on the ocean snorkeler of Question 1 if the pressure inside her ear is 1.0 atm (=101.3 kPa)? An adult's eardrum has a typical diameter of 8.0 mm
Relevant Equations
P=F/A
Can someone help me understand what I did wrong when solving this problem?
Screen Shot 2021-04-18 at 11.38.39 AM.png


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You found the force on the eardrum due to the pressure inside the ear. Is there also a force due to pressure outside the ear?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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