Vapor is usually made with water and it would be made with gas.
Answer:
![3.67\cdot 10^{-5} J/m^3](https://tex.z-dn.net/?f=3.67%5Ccdot%2010%5E%7B-5%7D%20J%2Fm%5E3)
Explanation:
First of all, we need to calculate the magnetic field magnitude at 25 cm from the wire, which is given by
![B=\frac{\mu_0 I}{2\pi r}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Cmu_0%20I%7D%7B2%5Cpi%20r%7D)
where
μ0 = 4π × 10-7 t · m/a is the vacuum permeability
I = 12 A is the current in the wire
r = 25 cm = 0.25 m is the distance from the wire
Substituting,
![B=\frac{(4\pi \cdot 10^{-7})(12)}{2\pi(0.25)}=9.6\cdot 10^{-6} T](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%284%5Cpi%20%5Ccdot%2010%5E%7B-7%7D%29%2812%29%7D%7B2%5Cpi%280.25%29%7D%3D9.6%5Ccdot%2010%5E%7B-6%7D%20T)
Now we can calculate the energy density of the magnetic field, which is given by
![u = \frac{B^2}{2\mu_0}](https://tex.z-dn.net/?f=u%20%3D%20%5Cfrac%7BB%5E2%7D%7B2%5Cmu_0%7D)
And substituting, we find
![u = \frac{(9.6\cdot 10^{-6})^2}{2(4\pi \cdot 10^{-7})}=3.67\cdot 10^{-5} J/m^3](https://tex.z-dn.net/?f=u%20%3D%20%5Cfrac%7B%289.6%5Ccdot%2010%5E%7B-6%7D%29%5E2%7D%7B2%284%5Cpi%20%5Ccdot%2010%5E%7B-7%7D%29%7D%3D3.67%5Ccdot%2010%5E%7B-5%7D%20J%2Fm%5E3)
Answer:
Gravity Increases - Mass increases, distance decreases
Gravity Decreaes - Mass decreases, distance increases
Momentum = mass x velocity
Mementum = 60 × 8
= 48 kg-m/s
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Answer:
The work done required is ![W_{1}=4W_{2}](https://tex.z-dn.net/?f=W_%7B1%7D%3D4W_%7B2%7D)
Explanation:
Given that,
Stretch spring = 2 cm
Stretch spring = 1 cm
We need to calculate the work done
Using formula of work done
![W_{1}=\dfrac{1}{2}kx_{1}^2](https://tex.z-dn.net/?f=W_%7B1%7D%3D%5Cdfrac%7B1%7D%7B2%7Dkx_%7B1%7D%5E2)
Put the value into the formula
.....(I)
We need to calculate the work done
Using formula of work done
![W_{2}=\dfrac{1}{2}kx_{2}^2](https://tex.z-dn.net/?f=W_%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7Dkx_%7B2%7D%5E2)
Put the value into the formula
.....(II)
We need to calculate the work done
Using equation (I) and (II)
![\dfrac{W_{1}}{W_{2}}=\dfrac{\dfrac{1}{2}\timesk\times0.02^2}{\dfrac{1}{2}\timesk\times0.01^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BW_%7B1%7D%7D%7BW_%7B2%7D%7D%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B2%7D%5Ctimesk%5Ctimes0.02%5E2%7D%7B%5Cdfrac%7B1%7D%7B2%7D%5Ctimesk%5Ctimes0.01%5E2%7D)
![\dfrac{W_{1}}{W_{2}}=\dfrac{0.02^2}{0.01^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BW_%7B1%7D%7D%7BW_%7B2%7D%7D%3D%5Cdfrac%7B0.02%5E2%7D%7B0.01%5E2%7D)
![W_{1}=4W_{2}](https://tex.z-dn.net/?f=W_%7B1%7D%3D4W_%7B2%7D)
Hence, The work done required is ![W_{1}=4W_{2}](https://tex.z-dn.net/?f=W_%7B1%7D%3D4W_%7B2%7D)