(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A small sphere 0.75 times as dense as water is dropped from a height of 11 m above the surface of a smooth lake. Determine the maximum depth to which the sphere will sink. Neglect any energy transferred to the water during impact and sinking.

for clarity's sake, i'm letting v = volume, andv= velocity

2. Relevant equations

vf^2 = Vi^2 + 2ad, Fb = pgv, K = 1/2mv^2, Work(non conservative) = change in mechanical energy

3. The attempt at a solution

the first thing i did was basic kinematics to get a velocity of 14.68 m/s upon hitting the water.

next i set Fb equal to nonconservative work and i got pgv(d) = Kf -Ki...

simplified down i got it to pvg(d) = 1/2mv^2

= pvg(d) = 1/2pvv^2

at this point i cancled out the volumes and got a final equation of

1000*9.8*(d) = .5*750*(14.68^2)

this got me a final answer of 8.25 meters which seems to be too large, and in fact it was wrong.

can anyone find where i'm going wrong?

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# Homework Help: Quick static fluids question

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