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

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SUMMARY

The discussion focuses on calculating the tension in a rope connecting two blocks, specifically a 45 kg block and a 30 kg block, under the influence of a 200 N force on a frictionless surface. The tension T in the rope can be determined using Newton's second law, where the net force acting on the system is equal to the mass of the system multiplied by its acceleration. The participants emphasize the importance of free-body diagrams in visualizing the forces acting on each block to solve for the tension accurately.

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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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