Answer:
Kinetic energy and potential energy.
The term 'mechanical energy' refers to the sum of the kinetic energy and the gravitational potential energy of an object,
Answer:
![4.71\times 10^{-3}A](https://tex.z-dn.net/?f=4.71%5Ctimes%2010%5E%7B-3%7DA)
Explanation:
= Maximum charge stored by capacitor = 6 μC = 6 x 10⁻⁶ C
= time taken for charge on the capacitor to become zero = 2 ms = 2 x 10⁻³ s
Time period is given as
![T = 4t](https://tex.z-dn.net/?f=T%20%3D%204t)
![T = 4(2\times 10^{-3})](https://tex.z-dn.net/?f=T%20%3D%204%282%5Ctimes%2010%5E%7B-3%7D%29)
![T = 8\times 10^{-3} s](https://tex.z-dn.net/?f=T%20%3D%208%5Ctimes%2010%5E%7B-3%7D%20s)
Angular frequency is given as
![w = \frac{2\pi }{T}](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B2%5Cpi%20%7D%7BT%7D)
![w = \frac{2(3.14) }{8\times 10^{-3}}](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B2%283.14%29%20%7D%7B8%5Ctimes%2010%5E%7B-3%7D%7D)
=785 rad/s
Charge at any time is given as
![Q(t) = Q_{max}Coswt](https://tex.z-dn.net/?f=Q%28t%29%20%3D%20Q_%7Bmax%7DCoswt)
Taking derivative both side relative to "t"
![\frac{\mathrm{d}Q(t) }{\mathrm{d} t} = \frac{\mathrm{d}(Q_{max}Coswt) }{\mathrm{d} t}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7DQ%28t%29%20%7D%7B%5Cmathrm%7Bd%7D%20t%7D%20%3D%20%5Cfrac%7B%5Cmathrm%7Bd%7D%28Q_%7Bmax%7DCoswt%29%20%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![i(t)= -Q_{max} w Sinwt](https://tex.z-dn.net/?f=i%28t%29%3D%20-Q_%7Bmax%7D%20w%20Sinwt)
Amplitude of the current is given as
![i_{max}= Q_{max} w](https://tex.z-dn.net/?f=i_%7Bmax%7D%3D%20Q_%7Bmax%7D%20w)
![i_{max}= (6\times 10^{-6}) (785)](https://tex.z-dn.net/?f=i_%7Bmax%7D%3D%20%286%5Ctimes%2010%5E%7B-6%7D%29%20%28785%29)
![i_{max}= 4.71\times 10^{-3}A](https://tex.z-dn.net/?f=i_%7Bmax%7D%3D%204.71%5Ctimes%2010%5E%7B-3%7DA)
“Intelligent Design” (henceforth ID) is the view that the universe gives evidence of being the product of an intelligent designer. As such it is a very old view. Certainly this was the position of the biblical writers (as Ps. 19:1, Rom. 1:18-20). Historically, many have articulated this position by means of the “teleological argument:” that when unintelligent beings act for a purpose, they must be under the control of a personal intelligence.
Answer:
Explanation:
A solid is Sphere is somehow place inside a solid cube and the system is heated .
Material of cube and Sphere is same therefore coefficient of volume expansion is same for both shapes.
change in volume is given by
![\Delta V=\gamma V_0\Delta T](https://tex.z-dn.net/?f=%5CDelta%20V%3D%5Cgamma%20V_0%5CDelta%20T)
where ![\Delta V=change\ in\ volume](https://tex.z-dn.net/?f=%5CDelta%20V%3Dchange%5C%20in%5C%20volume%20)
![\gamma =coefficient\ of\ volume\ expansion](https://tex.z-dn.net/?f=%5Cgamma%20%3Dcoefficient%5C%20of%5C%20volume%5C%20expansion)
![\Delta T=Change\ in\ Temperature](https://tex.z-dn.net/?f=%5CDelta%20T%3DChange%5C%20in%5C%20Temperature)
![V_0=Initial\ Volume](https://tex.z-dn.net/?f=V_0%3DInitial%5C%20Volume)
As initial volume of Cube is more than the sphere therefore Cube will expand more keeping other two factors same.