Cork: Solving for the Height of a Cork in a Dropped Bucket of Water

[GeneralShamu]

Please help! I need this within like 15 minutes!

Homework Statement

A cork is held at the bottom of a bucket of water of depth d.

The bucket is dropped from a height h, and simultaneously the cork is released. At the moment the bucket hits the ground, what height ill the cork have reached in the water?

Density of water = 1*10^3 kg m^-3

Homework Equations

Don't know...

I am in need of the equation, no numeical result.

The Attempt at a Solution

 

[Andrew Mason]

Please help! I need this within like 15 minutes!

Homework Statement

A cork is held at the bottom of a bucket of water of depth d.

The bucket is dropped from a height h, and simultaneously the cork is released. At the moment the bucket hits the ground, what height ill the cork have reached in the water?

Density of water = 1*10^3 kg m^-3

Homework Equations

Don't know...

I am in need of the equation, no numeical result.

The Attempt at a Solution

1. What is the upward buoyant force (relative to the water)? What is the upward acceleration of the cork (relative to the water - ignore water resistance)? What is the vertical position of the cork (relative to the water) as a function of time?

2. What is the downward acceleration of the bucket and water? How long does the bucket take to fall to the ground?

3. What is the position of the cork at that time?

AM