What is the relationship between surface area and bulk modulus in a collision?

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The discussion centers on the relationship between surface area and bulk modulus in a collision involving two materials, A and B. Material A has a surface area 30 times larger than that of Material B, while the bulk modulus of Material B is 11 times greater than that of Material A. Participants seek to determine the pressure exerted by Material B compared to Material A during a collision, assuming all other factors remain constant. Questions arise regarding the relevant equations for bulk modulus and pressure, as well as how differing surface areas affect the interaction between the two materials. The conversation emphasizes the need for clarity on these physical properties in collision dynamics.
jkhc23
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New poster has been reminded to show the Relevant Equations and their work on the solution
Homework Statement
bulk modulus
Relevant Equations
bulk modulus, pressure.
there are two materials:
Material A
Material B
surface area A/surface area B= 30

bulk modulus B/bulk modulus A= 11

How much more pressure is exerted through material B than material A in a collision, all else being equal?
 
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Welcome to the PF. :smile:
jkhc23 said:
Homework Statement:: bulk modulus
Relevant Equations:: bulk modulus, pressure.

there are two materials:
Material A
Material B
surface area A/surface area B= 30

bulk modulus B/bulk modulus A= 11

How much more pressure is exerted through material B than material A in a collision, all else being equal?
What is the equation for the Bulk Modulus? What equations can you list to describe pressure?

(And if these two surfaces have different surface areas, how can they be pushing on each other?)
 
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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