This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Step 1: Identify the given values. The force applied () is . The required pressure () is .
Step 2: Recall the formula for pressure. Pressure is defined as force per unit area: where is pressure, is force, and is area.
Step 3: Rearrange the formula to solve for area. To find the area, we can rearrange the formula:
Step 4: Substitute the given values into the formula.
Step 5: Calculate the area. This can also be expressed in scientific notation:
The maximum area of the needle must be .
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Hey, good to see you again. Step 1: Identify the given values.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.