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, and v = 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?