How Do You Calculate the Tension in a Rope Between Two Blocks?

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To calculate the tension in the rope connecting a 45 kg block and a 30 kg block on a frictionless surface with a pulling force of 200 N, one must analyze the system using Newton's second law. The total mass of the blocks is 75 kg, and the acceleration can be determined by dividing the applied force by the total mass. Once the acceleration is known, the tension in the rope can be found by applying Newton's second law to one of the blocks, considering the force exerted by the other block. A free-body diagram can aid in visualizing the forces acting on each block, which is crucial for solving the problem. Understanding these principles will lead to the correct calculation of the tension in the rope.
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1. There is a 45 kg block that is connected to a 30 kg block by a mass-less rope. The surface is frictionless. A force of F=200 N pulls the blocks to the right and in the positive direction. What is the magnitude of the tension T in the rope that connects the two blocks?


2. I am not sure what equation to use on this particular problem.



3. I made a free-body diagram for the forces but I don't understand how to find the tension of the rope.

Thank you.
 
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What does your diagram look like?
 

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