the answer is 1 because a single pulley has 1 rope
The fraction of radioisotope left after 1 day is
, with the half-life expressed in days
Explanation:
The question is incomplete: however, we can still answer as follows.
The mass of a radioactive sample after a time t is given by the equation:
![m(t)=m_0 (\frac{1}{2})^{\frac{t}{\tau}}](https://tex.z-dn.net/?f=m%28t%29%3Dm_0%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B%5Ctau%7D%7D)
where:
is the mass of the radioactive sample at t = 0
is the half-life of the sample
This means that the mass of the sample halves after one half-life.
We can rewrite the equation as
![\frac{m(t)}{m_0}=(\frac{1}{2})^{\frac{t}{\tau}}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%28t%29%7D%7Bm_0%7D%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B%5Ctau%7D%7D)
And the term on the left represents the fraction of the radioisotope left after a certain time t.
Therefore, after t = 1 days, the fraction of radioisotope left in the body is
![\frac{m(1)}{m_0}=(\frac{1}{2})^{\frac{1}{\tau}}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%281%29%7D%7Bm_0%7D%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B%5Ctau%7D%7D)
where the half-life
must be expressed in days in order to match the units.
Learn more about radioactive decay:
brainly.com/question/4207569
brainly.com/question/1695370
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