Answer:
The answer is A. Which is true
Answer:
Mechanical waves need matter to transfer energy while electromagnetic waves do not. ... Waves change direction when they move from one material into another (matter) through the process of refraction. The wave will change direction when the speed of the wave changes.
Answer:
Energy stored in the capacitor will be ![1.835\times 10^{-6}J](https://tex.z-dn.net/?f=1.835%5Ctimes%2010%5E%7B-6%7DJ)
Explanation:
We have given edge length of capacitor = ![1.2\times 10^2cm=1.2m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E2cm%3D1.2m)
So area A = 1.2×1.2 = 1.44 ![m^2](https://tex.z-dn.net/?f=m%5E2)
Separation is given as d 1 mm = ![10^{-3}m](https://tex.z-dn.net/?f=10%5E%7B-3%7Dm)
We know that capacitance is given by ![C=\frac{\epsilon _0A}{d}=\frac{8.85\times 10^{-12}\times 1.44}{10^{-3}}=12.744\times 10^{-9}F](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B%5Cepsilon%20_0A%7D%7Bd%7D%3D%5Cfrac%7B8.85%5Ctimes%2010%5E%7B-12%7D%5Ctimes%201.44%7D%7B10%5E%7B-3%7D%7D%3D12.744%5Ctimes%2010%5E%7B-9%7DF)
Voltage is given as V = 12 volt
We know that energy stored is given by ![E=\frac{1}{2}CV^2=\frac{1}{2}\times 12.744\times 10^{-9}\times 12^2=1.835\times 10^{-6}J](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7DCV%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2012.744%5Ctimes%2010%5E%7B-9%7D%5Ctimes%2012%5E2%3D1.835%5Ctimes%2010%5E%7B-6%7DJ)
Answer:
1.57772 m
Explanation:
M = Mass of actor = 84.5 kg
m = Mass of costar = 55 kg
v = Velocity of costar
V = Velocity of actor
= Intial height of actor = 4.3 m
g = Acceleration due to gravity = 9.81 m/s²
As the energy of the system is conserved
![\frac{1}{2}MV^2=Mgh_i\\\Rightarrow V=\sqrt{2gh_i}\\\Rightarrow V=\sqrt{2\times 9.81\times 4.3}\\\Rightarrow V=9.18509\ m/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DMV%5E2%3DMgh_i%5C%5C%5CRightarrow%20V%3D%5Csqrt%7B2gh_i%7D%5C%5C%5CRightarrow%20V%3D%5Csqrt%7B2%5Ctimes%209.81%5Ctimes%204.3%7D%5C%5C%5CRightarrow%20V%3D9.18509%5C%20m%2Fs)
As the linear momentum is conserved
![MV=(m+M)v\\\Rightarrow v=\frac{MV}{m+M}\\\Rightarrow V=\frac{84.5\times 9.18509}{84.5+55}\\\Rightarrow v=5.56372\ m/s](https://tex.z-dn.net/?f=MV%3D%28m%2BM%29v%5C%5C%5CRightarrow%20v%3D%5Cfrac%7BMV%7D%7Bm%2BM%7D%5C%5C%5CRightarrow%20V%3D%5Cfrac%7B84.5%5Ctimes%209.18509%7D%7B84.5%2B55%7D%5C%5C%5CRightarrow%20v%3D5.56372%5C%20m%2Fs)
Applying conservation of energy again
![\frac{1}{2}(m+M)v^2=(m+M)gh_f\\\Rightarrow h_f=\frac{v^2}{2g}\\\Rightarrow h_f=\frac{5.56372^2}{2\times 9.81}\\\Rightarrow h_f=1.57772\ m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28m%2BM%29v%5E2%3D%28m%2BM%29gh_f%5C%5C%5CRightarrow%20h_f%3D%5Cfrac%7Bv%5E2%7D%7B2g%7D%5C%5C%5CRightarrow%20h_f%3D%5Cfrac%7B5.56372%5E2%7D%7B2%5Ctimes%209.81%7D%5C%5C%5CRightarrow%20h_f%3D1.57772%5C%20m)
The maximum height they reach is 1.57772 m