Tension of rope between 2 blocks

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Rachel is pulling two blocks with a total mass of 6 kg across a frictionless surface, resulting in an acceleration of 1.5 m/s². To find the tension in the rope between the blocks, the equation F=ma can be applied, considering the forces acting on each block. The tension T1 in the rope between Block 1 and Block 2 is influenced by the force required to accelerate Block 2, while T2 is the tension acting on Block 1. Clarification is needed on how to express the net forces acting on each block to properly calculate the tensions. Understanding these relationships is crucial for solving the problem accurately.
Notion
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Homework Statement


Rachel is pulling 2 blocks across a horizontal friction less surface with an acceleration of 1.5m/s/s. The mass of Block 1 is 4kg and Block 2 is 2kg.

1) What is the tension in the rope between the blocks?
2) What is the tension of the rope being pulled?

Diagram :

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Homework Equations



F=ma is all I know because I missed the lesson where my teacher went over tension, I missed class due to a religious holiday btw.

The Attempt at a Solution



Well because its a friction-less surface I don't have to worry about that, but all I have to work with is
F=ma
2 masses
Acceleration

So only guess I have is because the blocks are being pulled horizontally the answer to part 1 might be just FofBlock2 - FofBlock1 = T1? (If you look at the diagram it makes more sense!)

For part 2 I have no idea..
 
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You can use F=ma to calculate the force on the left hand block. Then consider the total force on the right-hand block.
 
What do you mean by consider it?
 
Notion said:
What do you mean by consider it?
Write an expression for the net force on the right hand block. What value does it need to have to produce the desired acceleration?
 
We already have acceleration though?

But on the right hand block would FofBlck1= Ftotal - FofBlock2 ?

And how do I find T2?
 
Notion said:
We already have acceleration though?

But on the right hand block would FofBlck1= Ftotal - FofBlock2 ?

And how do I find T2?
What do you mean by these quantities: FofBlck1, FofBlock2, Ftotal ?

The tension, T1 in rope 1 is the force acting to the right on block, B1.

The tension, T2 in rope 2 is the force acting to the left on block, B1.

The tension, T2 in rope 2 is also equal the force acting on block, B2, but it acts to the right on B2.

What's the net force on each block?
 
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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