1) 3 miles/Hour
The speed is defined as the distance covered divided by the time taken:
![v=\frac{d}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D)
where
d = 1.5 mi is the distance
t = 0.5 h is the time taken
Substituting,
![v=\frac{1.5}{0.5}=3 mi/h](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B1.5%7D%7B0.5%7D%3D3%20mi%2Fh)
2) 1.34 m/s south
Velocity, instead, is a vector, so it has both a magnitude and a direction. We have:
is the displacement in meters
is the time taken in seconds
Substituting,
![v=\frac{2414 m}{1800 s}=1.34 m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2414%20m%7D%7B1800%20s%7D%3D1.34%20m%2Fs)
And the direction of the velocity is the same as the displacement, so it is south.
The evidence that the universe is expanding comes with something called the red shift<span> of light. Light travels to Earth from other galaxies. As the light from that galaxy gets closer to Earth, the distance between Earth and the galaxy increases, which causes the wavelength of that light to get longer.</span>
Answer:9.34 A/s
Explanation:
Given
radius of solenoid ![R=1.06 m](https://tex.z-dn.net/?f=R%3D1.06%20m)
Emf induced ![E=8.50\times 10^{-6} V/m](https://tex.z-dn.net/?f=E%3D8.50%5Ctimes%2010%5E%7B-6%7D%20V%2Fm)
no of turns per meter n=450
we know Induced EMF is given by
![\int Edl=-\frac{\mathrm{d} \phi}{\mathrm{d} t}=-\frac{\mathrm{d} B}{\mathrm{d} t}A](https://tex.z-dn.net/?f=%5Cint%20Edl%3D-%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Cphi%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-%5Cfrac%7B%5Cmathrm%7Bd%7D%20B%7D%7B%5Cmathrm%7Bd%7D%20t%7DA)
Magnetic Field is given by
![B=\mu _0ni](https://tex.z-dn.net/?f=B%3D%5Cmu%20_0ni)
thus ![\frac{\mathrm{d} B}{\mathrm{d} t}=-\mu _0n\frac{\mathrm{d} i}{\mathrm{d} t}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20B%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D-%5Cmu%20_0n%5Cfrac%7B%5Cmathrm%7Bd%7D%20i%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
Area of cross-section
where
solving integration we get
![E.\cdot 2\pi r=\mu _0n\frac{\mathrm{d} i}{\mathrm{d} t}\pi R^2](https://tex.z-dn.net/?f=E.%5Ccdot%202%5Cpi%20r%3D%5Cmu%20_0n%5Cfrac%7B%5Cmathrm%7Bd%7D%20i%7D%7B%5Cmathrm%7Bd%7D%20t%7D%5Cpi%20R%5E2)
where r=distance from axis
R=radius of Solenoid
![\frac{\mathrm{d} i}{\mathrm{d} t}=\frac{Er}{\mu _0nR^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20i%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D%5Cfrac%7BEr%7D%7B%5Cmu%20_0nR%5E2%7D)
![\frac{\mathrm{d} i}{\mathrm{d} t}=\frac{8.50\times 10^{-6}\times 3.49\times 10^{-2}}{4\pi \times 10^{-7}\times 450\times 1.06^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20i%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D%5Cfrac%7B8.50%5Ctimes%2010%5E%7B-6%7D%5Ctimes%203.49%5Ctimes%2010%5E%7B-2%7D%7D%7B4%5Cpi%20%5Ctimes%2010%5E%7B-7%7D%5Ctimes%20450%5Ctimes%201.06%5E2%7D)
![\frac{\mathrm{d} i}{\mathrm{d} t}=9.34 A/s](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20i%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D9.34%20A%2Fs)
Answer:
Salinometer, also called salinimeter or salimeter, device used to measure the salinity of a solution. It is frequently a hydrometer that is specially calibrated to read out the percentage of salt in a solution.
Explanation:
I hope it is correct answer
The number of times a standard quantity is present in the given physical quantity is called magnitude of a physical quantity