To find the specific yield strength of the "liquidmetal" alloy in units of MPa·cm/g, we need to divide the yield strength by the density in appropriate units.
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Convert the density from grams per cubic centimeter to kilograms per cubic meter: \[ 6.1 \text{ g/cm}^3 = 6.1 \times 10^3 \text{ kg/m}^3 \]
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Convert the density to grams per cubic centimeter to the desired unit: We can keep the density as 6.1 g/cm³ since we are interested in comparing in cm/g.
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Calculate the specific yield strength: The formula for specific yield strength is: \[ \text{Specific Yield Strength} = \frac{\text{Yield Strength}}{\text{Density}} \] where yield strength is given in MPa (which is equivalent to N/mm²) and density is in g/cm³:
\[ \text{Specific Yield Strength} = \frac{1723 \text{ MPa}}{6.1 \text{ g/cm}^3} \]
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Perform the calculation: \[ \text{Specific Yield Strength} = \frac{1723}{6.1} \approx 282.2951 \text{ MPa·cm/g} \]
Thus, the specific yield strength of the liquidmetal alloy is approximately 282.3 MPa·cm/g.