Calculating the applied retarding force

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To calculate the applied retarding force on a 30kg iron ball that falls from 30m and penetrates 8m into the ground, one must first determine the ball's velocity upon impact using gravitational equations. The kinetic energy at impact can be calculated, and then the work done by the retarding force can be equated to this energy to find the force. There is a suggestion to verify the penetration depth, as 8m seems excessive and might be a typographical error for 8mm. The discussion emphasizes the importance of using standard equations and showing work in the solution process. Accurate calculations are crucial for determining the retarding force effectively.
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Homework Statement


An iron ball with a mass of 30kg falls freely from a height of 30m and impacts with the ground without rebounding.

It enters into the ground and is brought to rest at a depth of 8m.

Calculate the applied retarding force.

Homework Equations

The Attempt at a Solution

 
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joejoe998 said:

Homework Statement


An iron ball with a mass of 30kg falls freely from a height of 30m and impacts with the ground without rebounding.

It enters into the ground and is brought to rest at a depth of 8m.

Calculate the applied retarding force.

Homework Equations

The Attempt at a Solution

You must complete the template. Quote any standard equations you believe may be relevant and show some attempt.
The attempt might just consist of your thoughts on the matter.
 
8m penetration sounds a lot, perhaps double check that isn't 8mm?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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