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What is the maximum value the string tension can have before the can slips?

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Final answer:

The maximum value the string tension can have before the can slips depends on the breaking tension of the string. The shorter string will snap first when the tension in the shorter string is twice that of the longer string.

Step-by-step explanation:

The maximum value the string tension can have before the can slips depends on the breaking tension of the string. In the given example, the maximum tension the string can support is 2.80 N.

To determine which string will snap first, we can use the equilibrium equations. The tension T₁ in the shorter string is twice the tension T₂ in the longer string. Therefore, the shorter string will snap first.

To calculate how much mass needs to be added for the string to snap, we can use the relation between the mass on the pan and the tension in the shorter string.

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