Answer to Question #189188 in Mechanics | Relativity for anuj

Question #189188

 substance has a mass M= 100 kg and a volume V=0.415 m3. Find density


1
Expert's answer
2021-05-05T10:54:04-0400

Explanations & Calculations


  • The average density — "\\small \\rho" — of a substance of volume "\\small V"and a mass of "\\small m" is given by the equation

"\\qquad\\,\\,\\,\\small m=V\\rho".

  • And the SI units for this quantity is "\\small kgm^{-3}" or simply "kg\/m^3"
  • And the knowns for this question are "\\small m=100kg" and "\\small V =0.415m^3"
  • Therefore, simply plugging these into the equation stated above we get the result.

"\\qquad\\qquad\n\\begin{aligned}\n\\small \\rho&=\\small \\frac{m}{V}\\\\\n\\small &=\\small \\frac{100\\,kg}{0.415\\,m^3}\\\\\n&=\\small \\bold{240.964\\,kgm^{-3}}\n\\end{aligned}"


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