Tension/ Force problem; How should I look at this?

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The problem involves three identical blocks connected by strings on a frictionless surface, with a known tension of 3.00N between blocks B and C. To find the force F, the equation F=ma is applied, where each block has a mass of 0.400kg. The calculations lead to an acceleration of 3.75 m/s², resulting in a force F of 4.5N. The tension between blocks A and B is determined to be 1.5N. The discussion concludes with a successful resolution of the tension and force calculations.
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1. Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F. The magnitude of the tension in the string between blocks B and C is T= 3.00N. Assume that each block has mass m= 0.400kg .

[a]--------[c]---->F

What is the magnitude F of the force?

What is the tension between block a and b?

2. F=ma;



3. The magnitude of the force should equal m*a, so (.4*3)*(3/.8) should provide the magnitude. And from that (.4)*(3/.8) should give me the answer to the second question. I feel that I am making some unwarranted assumptions. Please help
 
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T=2*m*a => 3.00=2m*a => a is known

F=3*m*a =>...
 
Ok so a= 3.75 m/s^2; From this: F= 1.2*3.75; F=4.5N; T=.8*3.75; T=3N ?
 
No, btween a and b m=.4; so T= 1.5N

Thanks, I understand now! :-)
 
OK! Good luck!
 
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