BraddoxF125767 BraddoxF125767
  • 25-10-2022
  • Physics
contestada

Please help me with my physics hw, thanks :) :D

Please help me with my physics hw thanks D class=

Respuesta :

ZohairX787537 ZohairX787537
  • 25-10-2022

Given:

The rate of decay,

[tex]\frac{dM}{dt}=-kM[/tex]

The initial mass, M=150 g

To find:

The expression for the mass at any time t.

Explanation:

On rearranging the given equation,

[tex]\frac{dM}{M}=-\text{kdt}[/tex]

On integrating the above equation,

[tex]\begin{gathered} \text{lnM=-kt} \\ \Rightarrow M=e^{-kt} \end{gathered}[/tex]

Final answer:

Thus the expression for the mass at any time t is

[tex]M=e^{-kt}[/tex]

Therefore the correct answer is option A.

Answer Link

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