How to find the volume of a block that weighs 107 Newtons.

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SUMMARY

The discussion revolves around calculating the volume of a block of silver weighing 107 Newtons, using its density of 10,500 kg/m³. The user initially calculated the mass by dividing the weight by gravitational acceleration (9.81 m/s²), resulting in approximately 10.7 kg. However, the final volume calculation of 0.001 m³ was incorrect due to a misunderstanding of density units, which should be expressed as kg/m³ rather than kg alone. The correct approach requires ensuring that the units align properly to derive a valid volume measurement.

PREREQUISITES
  • Understanding of Newtons as a unit of force
  • Knowledge of density and its units (kg/m³)
  • Basic physics concepts including weight and mass conversion
  • Familiarity with the formula for volume calculation (Volume = Mass/Density)
NEXT STEPS
  • Review the concept of weight and its conversion to mass using gravitational acceleration
  • Study the relationship between density, mass, and volume in physics
  • Practice solving problems involving density and volume calculations
  • Learn about unit conversions in physics to avoid common mistakes
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Students studying physics, particularly those focusing on mechanics and fluid dynamics, as well as educators looking for examples of density and volume calculations.

FoliagedPegas
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Just a problem for my physics homework and just wondering how to solve this problem.
 
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In order to find this, you need to know the density of the material.
 
Yeah I just figured out how to do it but now I am wondering if i got the right answer. the problem was what is the volume of a block of silver that weighs 107 Newtons with the block of silvers density being 10,500 kg. the answer I got for this problem is.001 m^3 but idk if its right XD
 
FoliagedPegas said:
Yeah I just figured out how to do it but now I am wondering if i got the right answer. the problem was what is the volume of a block of silver that weighs 107 Newtons with the block of silvers density being 10,500 kg. the answer I got for this problem is.001 m^3 but idk if its right XD

Welcome to the PF.

Remember that the density has units of mass per volume. Can you fix up the units and show us your work? That will make it easier for us to check your work.
 
berkeman said:
Welcome to the PF.

Remember that the density has units of mass per volume. Can you fix up the units and show us your work? That will make it easier for us to check your work.

Well, the exact question is A block of silver weighs 107 Newtons. What is the volume of the block? so I started by dividing the 107 by 9.81 to find the weight in kg and got 10.7. The density was given in a table and the density of silver is 10500 kg so i did 10.9/10500 and got .001 m^3 as my final answer.
 
FoliagedPegas said:
Well, the exact question is A block of silver weighs 107 Newtons. What is the volume of the block? so I started by dividing the 107 by 9.81 to find the weight in kg and got 10.7. The density was given in a table and the density of silver is 10500 kg so i did 10.9/10500 and got .001 m^3 as my final answer.

kg is a unit of mass, not density. Density has units of mass/volume, so the units for your density should be kg/(something). If you work out the units in your calculation, the answer doesn't work out to be in units of m^3, your answer is actually unitless.
 

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