How Does Deformation Affect the Net Force Between Two Masses?

In summary, the normal force acting on m1 will be m1g+m2g and normal force on m2 will just be m2g, but this may only be true for rigid masses. If m1 is able to deform from the weight of m2, the scale underneath m1 may register less weight. However, even if mass 1 suffers a plastic deformation, the weight force will not change as it is only the result of the combination of mass and the acceleration of gravity.
  • #1
anonymous99
25
5
Homework Statement
Suppose you have two masses m1 and m2 with m2 on top of m1. I understand the normal force acting on m1 will be m1g+m2g and normal force on m2 will just be m2g but wanted to know, is this only true for rigid masses? If m1 was able to deform from the weight of m2 above it (like a trampoline for example), would a scale underneath m1 register less weight now?
Relevant Equations
Thanks
S
 
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  • #2
John781049 said:
Homework Statement:: Suppose you have two masses m1 and m2 with m2 on top of m1. I understand the normal force acting on m1 will be m1g+m2g and normal force on m2 will just be m2g but wanted to know, is this only true for rigid masses? If m1 was able to deform from the weight of m2 above it (like a trampoline for example), would a scale underneath m1 register less weight now?
Relevant Equations:: Thanks

S
Consider the vertical balance of forces on each mass. Can there be a net force on either?
 
  • #3
I think there is for m1 because it wouldn't deform otherwise.
 
  • #4
John781049 said:
I think there is for m1 because it wouldn't deform otherwise.
Equal and opposite forces are quite able to deform objects.
What does ΣF=ma tell you about the consequences of a net force?
 
  • #5
haruspex said:
Equal and opposite forces are quite able to deform objects.
What does ΣF=ma tell you about the consequences of a net force?
Well, there is a net force initially then while m1 deforms but once it's stopped deforming forces are balanced? I think it would be like with a trampoline. If someone stands on the trampoline, there's a net force that causes the ropes to sag downwards when you land from each jump and once the trampoline doesn't sag anymore, it will propel you back up.
 
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  • #6
Even if mass 1 is not elastic and suffers a plastic deformation under the weight of mass 2, would a scale underneath mass 1 and 2 register less weight?

Tip: Weight force is only the result of the combination of mass and the acceleration of gravity.
Have any of those changed for mass 1?
 
  • #7
John781049 said:
there is a net force initially then while m1 deforms but once it's stopped deforming forces are balanced?
Yes.
Does that answer your original question?
 

Related to How Does Deformation Affect the Net Force Between Two Masses?

What is the formula for calculating the force between two masses?

The formula for calculating the force between two masses is F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the two objects.

How does the distance between two masses affect the force between them?

The force between two masses is inversely proportional to the square of the distance between them. This means that as the distance between the masses increases, the force between them decreases.

What is the value of the gravitational constant?

The gravitational constant, denoted by G, is a fundamental constant in physics that is approximately equal to 6.67 x 10^-11 N*m^2/kg^2.

How does the mass of the two objects affect the force between them?

The force between two masses is directly proportional to the product of their masses. This means that as the mass of either object increases, the force between them also increases.

What is the difference between gravitational force and gravitational acceleration?

Gravitational force is the attractive force between two objects due to their mass, while gravitational acceleration is the acceleration of an object due to the force of gravity. The force is what causes the acceleration, so they are closely related but not the same thing.

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