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

In summary, the conversation discusses two materials, A and B, and their respective surface areas and bulk moduli. The ratio of surface area A to surface area B is 30, while the ratio of bulk modulus B to bulk modulus A is 11. The question is raised about the pressure exerted through material B compared to material A in a collision, assuming all else is equal. The relevant equations mentioned are the bulk modulus and pressure. It is also noted that the two surfaces have different surface areas, which raises the question of how they can push on each other.
  • #1
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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  • #2
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?)
 

1. What is surface area and bulk modulus?

Surface area refers to the total area of an object's outer surface. Bulk modulus is a measure of a substance's resistance to compression under pressure.

2. How are surface area and bulk modulus related in a collision?

In a collision, the surface area of an object can affect the amount of force and pressure exerted on the object. This can in turn impact the bulk modulus, as a larger surface area may result in a higher compression of the object.

3. Does surface area or bulk modulus have a greater impact on the outcome of a collision?

This can depend on various factors such as the materials and velocities involved in the collision. However, in general, bulk modulus tends to have a greater impact as it directly affects the object's ability to withstand compression forces.

4. How does surface area and bulk modulus affect the energy transfer in a collision?

Surface area and bulk modulus can both play a role in the energy transfer during a collision. A larger surface area may result in a greater amount of energy being transferred, while a higher bulk modulus can lead to less energy being absorbed by the object and more being transferred to other objects involved in the collision.

5. Can the relationship between surface area and bulk modulus be applied to all types of collisions?

The relationship between surface area and bulk modulus can be applied to many types of collisions, but it may not always be the most significant factor. Other factors such as the elasticity and density of the objects involved may also play a role in the outcome of a collision.

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