Answer
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Step 1: Understand the problem and convert the units given.
We are given that 1 MPa is equivalent to 1 N/mm². We need to determine if this statement is true or false. First, let's convert the units to be the same in both the given statement and the conversion factor provided. We know that: 1 MPa = 1,000,000 Pa (Pascal) 1 N = 1 kg·m/s² 1 mm = 0.001 m
Step 2: Calculate the equivalent units.
Now, we can calculate the equivalent units for both sides of the given statement: For MPa side: 1 N/mm² = (1 kg·m/s²) / (0.001 m)² = 1,000,000 kg·m/s²/m² = 1,000,000 Pa = 1,000,000 N/m²
Final Answer
The calculated equivalent unit for MPa (1,000,000 N/m²) is not the same as the given unit for MPa (1 N/mm²). Therefore, the given statement is: b) False
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