Answer:
(1) chess is played by him
(2) The great black engine was seen by her
(3) Arrangements for functions had been made by him
(4) A meeting is being attended by Raman
= when the last of the guests left, I went back into the hall to look for my mobile phone that I had kept on the table, I found that my mobile phone was not there. I felt freaked and I asked to every member of my family about my phone, but nobody had idea about that. then there was a phone call made by my uncle to my father, that his son had taken the mobile by mistake. After sometime, My uncle came to return my mobile. Then I took a sigh of relief .
please mark me as a brainelist
Answer:
Time = t = 6.62 s
Explanation:
Given data:
Height = h = 215 m
Initial velocity =
= 0 m/s
gravitational acceleration = g = 9.8 m/s²
Time = t = ?
According to second equation of motion
![h = v_{i}t + \frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=h%20%3D%20v_%7Bi%7Dt%20%2B%20%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
As initial velocity is zero, So the first term of right hand side of above equation equal to zero.
![h = \frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
t² = ![\frac{2h}{g}](https://tex.z-dn.net/?f=%5Cfrac%7B2h%7D%7Bg%7D)
t =![\sqrt{\frac{2h}{g} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B2h%7D%7Bg%7D%20%7D)
t = ![\sqrt{\frac{(2)(215) }{9.8} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%282%29%28215%29%20%7D%7B9.8%7D%20%7D)
t = 6.62 s
If you measured all the energy related to motion and all the stored
energy in the particles of a substance, you would be measuring the thermal energy of the particles. If
there is movement of the particles, they are also releasing energy in the form
of heat.
1) ![1.11\cdot 10^{-7} J](https://tex.z-dn.net/?f=1.11%5Ccdot%2010%5E%7B-7%7D%20J)
The capacitance of a parallel-plate capacitor is given by:
![C=\frac{\epsilon_0 A}{d}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%5Cepsilon_0%20A%7D%7Bd%7D)
where
is the vacuum permittivity
A is the area of each plate
d is the distance between the plates
Here, the radius of each plate is
![r=\frac{2.0 cm}{2}=1.0 cm=0.01 m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B2.0%20cm%7D%7B2%7D%3D1.0%20cm%3D0.01%20m)
so the area is
![A=\pi r^2 = \pi (0.01 m)^2=3.14\cdot 10^{-4} m^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%20%3D%20%5Cpi%20%280.01%20m%29%5E2%3D3.14%5Ccdot%2010%5E%7B-4%7D%20m%5E2)
While the separation between the plates is
![d=0.50 mm=5\cdot 10^{-4} m](https://tex.z-dn.net/?f=d%3D0.50%20mm%3D5%5Ccdot%2010%5E%7B-4%7D%20m)
So the capacitance is
![C=\frac{(8.85\cdot 10^{-12} F/m)(3.14\cdot 10^{-4} m^2)}{5\cdot 10^{-4} m}=5.56\cdot 10^{-12} F](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%288.85%5Ccdot%2010%5E%7B-12%7D%20F%2Fm%29%283.14%5Ccdot%2010%5E%7B-4%7D%20m%5E2%29%7D%7B5%5Ccdot%2010%5E%7B-4%7D%20m%7D%3D5.56%5Ccdot%2010%5E%7B-12%7D%20F)
And now we can find the energy stored,which is given by:
![U=\frac{1}{2}CV^2=\frac{1}{2}(5.56\cdot 10^{-12} F/m)(200 V)^2=1.11\cdot 10^{-7} J](https://tex.z-dn.net/?f=U%3D%5Cfrac%7B1%7D%7B2%7DCV%5E2%3D%5Cfrac%7B1%7D%7B2%7D%285.56%5Ccdot%2010%5E%7B-12%7D%20F%2Fm%29%28200%20V%29%5E2%3D1.11%5Ccdot%2010%5E%7B-7%7D%20J)
2) 0.71 J/m^3
The magnitude of the electric field is given by
![E=\frac{V}{d}=\frac{200 V}{5\cdot 10^{-4} m}=4\cdot 10^5 V/m](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BV%7D%7Bd%7D%3D%5Cfrac%7B200%20V%7D%7B5%5Ccdot%2010%5E%7B-4%7D%20m%7D%3D4%5Ccdot%2010%5E5%20V%2Fm)
and the energy density of the electric field is given by
![u=\frac{1}{2}\epsilon_0 E^2](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B1%7D%7B2%7D%5Cepsilon_0%20E%5E2)
and using
, we find
![u=\frac{1}{2}(8.85\cdot 10^{-12} F/m)(4\cdot 10^5 V/m)^2=0.71 J/m^3](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B1%7D%7B2%7D%288.85%5Ccdot%2010%5E%7B-12%7D%20F%2Fm%29%284%5Ccdot%2010%5E5%20V%2Fm%29%5E2%3D0.71%20J%2Fm%5E3)
Power is defined as the rate at which the body is doing work:
![P=\frac{W}{t}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BW%7D%7Bt%7D)
Work is defined as displacement done by the force times that displacement:
![W=F\cdot h](https://tex.z-dn.net/?f=W%3DF%5Ccdot%20h)
We know that we need 62N to move the box, so when we apply this force along the path of 10m we have done:
![W=62N\cdot10m=620J](https://tex.z-dn.net/?f=W%3D62N%5Ccdot10m%3D620J)
of work.
Now we just divide that by 5s to get how much power is required: