Determining Tension in a Frictionless System with Given Mass and Tension

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To determine the force F in a frictionless system with a mass of 4.0 kg and a tension of 12 N in string 1, apply Newton's second law. The interconnected blocks share the same acceleration, which has been calculated as 5 m/s². The net force acting on the system is 45 N, leading to the conclusion that F must be 40 N. The problem-solving approach involves understanding the relationship between tension, mass, and acceleration. Clarifying these concepts can aid in successfully solving similar physics problems.
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Hi! If anyone could pass on any hints as to how to go about figuring out this type of problem...thanks! I just need guidance as to how to determine F... attached is a diagram.

The horizontal surface on which the object slides is frictionless. If M=4.0kg, the tension in string 1 is 12N. Determine F in N.

a) 10 b) 20 c) 25 d) 40 e) none of the above
 

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All the blocks are interconnecrted so have the same acceleration. The force F accelerates all three blocks.
The tension, T1, accelerates the last two blocks with the same acceleration.

Use Newton's 2nd law.
 
While we're on the topic of tension (which I never really learned last year in ap physics b), can anyone show me where to start on this problem? I'm really regretting taking ap physics c, but I got a 5 on the exam for b so I can't be that bad, right?
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I've determined the net force is 45 N and that the acceleration must be 5 m/s2, but that's about it :/
 

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