Converting Units: Are These Conversions Accurate?

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The conversions presented are accurate. For 0.1nm, the conversion to 10^-10 is correct, as it involves dividing by 10. Similarly, converting 520nm to 5.2 x 10^-7 is also accurate, achieved by expressing 520nm as 520 x 10^-9. The calculations maintain the integrity of the values through proper division and multiplication. Overall, the conversions are confirmed to be correct.
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Homework Statement



I want to know if my conversions seem correct to you:

If 1nm = 10^-9, then...

0.1nm = 10^-10 ?

520nm = 5.2 x 10^-7 ?
 
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domyy said:

Homework Statement



I want to know if my conversions seem correct to you:

If 1nm = 10^-9, then...

0.1nm = 10^-10 ?

Yes. To get from the first equation to the 2nd one, you divided both the LHS and RHS by 10

domyy said:
520nm = 5.2 x 10^-7 ?

520nm = 520 x 10^-9 = 5.2 x 10^-7

Yes. To convert from the 2nd quantity above to the 3rd quantity, you divide 520 by 100, and multiply 10^9 by 100 to keep the same value for the full quantity.
 
Thanks! :blushing:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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