Bernoulli's Equation to find a depth

[awertag]

Homework Statement

A perfectly spherical golf ball with a specific gravity of 0.55 is dropped from a height of 10 m above the surface of a smooth lake. Determine the maximum depth to which the ball will sink. Neglect any frictional loses or energy transferred to the water during impact and sinking.

Homework Equations

P=pressure ρ=density h or Y=depth g=9.8 Patmospheric=1.01e3 V=velocity

The Attempt at a Solution

I got velocity =14 m/s with free fall first. Then I did Bernoulli's.

P1 + ρgY1 + .5ρ(V1^2) = P2 + ρgY2 + .5ρ(V2^2)

1.01e3 + [STRIKE]ρg(0)[/STRIKE] +.5(550)(14^2) = (1000)(9.8)(h)+(550)(9.8)(h) + [STRIKE].5(ρ)(0)[/STRIKE]

54910 = (1000)(9.8)(h) +(550)(9.8)(h)

h = 3.6149 m




I would really really appreciate help! :)

 

[zorro]

errr why do you think you have to use Bernoulli's equation here ? I don't think it has any application here.

 

[awertag]

Oh never mind, I got the answer. Thanks for replying though! :) have a great day