Calculating Contact Forces Between Blocks on a Frictionless Surface

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The problem involves calculating the contact forces between three blocks on a frictionless surface when a horizontal force is applied to the first block. The user attempted to use a formula to find the contact forces between blocks 1 and 2, and blocks 2 and 3, but their calculations yielded incorrect results. The user specifically used the formula P=(M2/(M1+M2)) x F for block 1 and P=(M3/(M2+M3)) x F for block 2. The discussion seeks clarification on the correct approach to determine the contact forces. Accurate calculations are essential for understanding the dynamics of the system.
Lannie
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This problem seemed very straightforward but I've somehow missed something...

Three blocks (M1, M2, M3) are in contact with each other on a frictionless, horizontal surface. A horizontal force is applied to M1.

If M1= 1.67kg, M2= 2.67kg, M3= 3.78kg, and F= 16.1 N:

a) what is the magnitude of the contact force between blocks 1 and 2
b) what is the magnitude of the contact force between blocks 2 and 3


I used the formula P=(M2/M1+M2) x F to find these contact forces, but the answers I got were not correct.

for a) I calculated P= (2.67/1.67+2.67) x 16.1
and for b) I calculated P= (3.78/2.67+3.78) x 16.1

This seemed like it should lead to the right answer, but it didn't work. Anyone know what I've done wrong?
 
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that makes sense :) thanks for the help
 
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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