Looks like you simply substitute the length of the femur
Answer:
The maximum speed will be 26.475 m/sec
Explanation:
We have given mass of the toy m = 0.50 kg
radius of the light string r = 1 m
Tension on the string T = 350 N
We have to find the maximum speed without breaking the string
For without breaking the string tension must be equal to the centripetal force
So ![T=\frac{mv^2}{r}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7Bmv%5E2%7D%7Br%7D)
So ![350=\frac{0.5\times v^2}{1}](https://tex.z-dn.net/?f=350%3D%5Cfrac%7B0.5%5Ctimes%20v%5E2%7D%7B1%7D)
![v^2=700](https://tex.z-dn.net/?f=v%5E2%3D700)
v = 26.475 m /sec
So the maximum speed will be 26.475 m/sec
Answer:
a) α=7.9x10^-4 rad
b) θ=1.12x10^-4 rad
c) The Earth and the Moon cannot be seen without a telescope.
Explanation:
In this exercise we will use the concepts of angular resolution, which depends on both the wavelength of the rays and the diameter of the eye or lens on the meter. Its unit of measure is the radian. The attached image shows the solution step by step.
To solve the problem it is necessary to apply the concepts related to the conservation of energy through the heat transferred and the work done, as well as through the calculation of entropy due to heat and temperatra.
By definition we know that the change in entropy is given by
![\Delta S = \frac{Q}{T}](https://tex.z-dn.net/?f=%5CDelta%20S%20%3D%20%5Cfrac%7BQ%7D%7BT%7D)
Where,
Q = Heat transfer
T = Temperature
On the other hand we know that by conserving energy the work done in a system is equal to the change in heat transferred, that is
![W = Q_{source}-Q_{sink}](https://tex.z-dn.net/?f=W%20%3D%20Q_%7Bsource%7D-Q_%7Bsink%7D)
According to the data given we have to,
![Q_{source} = 200000Btu](https://tex.z-dn.net/?f=Q_%7Bsource%7D%20%3D%20200000Btu)
![T_{source} = 1500R](https://tex.z-dn.net/?f=T_%7Bsource%7D%20%3D%201500R)
![Q_{sink} = 100000Btu](https://tex.z-dn.net/?f=Q_%7Bsink%7D%20%3D%20100000Btu)
![T_{sink} = 600R](https://tex.z-dn.net/?f=T_%7Bsink%7D%20%3D%20600R)
PART A) The total change in entropy, would be given by the changes that exist in the source and sink, that is
![\Delta S_{sink} = \frac{Q_{sink}}{T_{sink}}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20%5Cfrac%7BQ_%7Bsink%7D%7D%7BT_%7Bsink%7D%7D)
![\Delta S_{sink} = \frac{100000}{600}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20%5Cfrac%7B100000%7D%7B600%7D)
![\Delta S_{sink} = 166.67Btu/R](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20166.67Btu%2FR)
On the other hand,
![\Delta S_{source} = \frac{Q_{source}}{T_{source}}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20%5Cfrac%7BQ_%7Bsource%7D%7D%7BT_%7Bsource%7D%7D)
![\Delta S_{source} = \frac{-200000}{1500}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20%5Cfrac%7B-200000%7D%7B1500%7D)
![\Delta S_{source} = -133.33Btu/R](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20-133.33Btu%2FR)
The total change of entropy would be,
![S = \Delta S_{source}+\Delta S_{sink}](https://tex.z-dn.net/?f=S%20%3D%20%5CDelta%20S_%7Bsource%7D%2B%5CDelta%20S_%7Bsink%7D)
![S = -133.33+166.67](https://tex.z-dn.net/?f=S%20%3D%20-133.33%2B166.67)
![S = 33.34Btu/R](https://tex.z-dn.net/?f=S%20%3D%2033.34Btu%2FR)
Since
the heat engine is not reversible.
PART B)
Work done by heat engine is given by
![W=Q_{source}-Q_{sink}](https://tex.z-dn.net/?f=W%3DQ_%7Bsource%7D-Q_%7Bsink%7D)
![W = 200000-100000](https://tex.z-dn.net/?f=W%20%3D%20200000-100000)
![W = 100000 Btu](https://tex.z-dn.net/?f=W%20%3D%20100000%20Btu)
Therefore the work in the system is 100000Btu
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