Solution:
f ( t )= 20 S ( t ) + 55/30 tS ( t )− 55/30 ( t − 30 ) S ( t − 30 )
• Taking the Laplace Transform:
F ( s ) = 20/s + 55/30 ( 1/s^2 ) – 55/30 ( 1/s^2) e^-30s = 20/s + 55/30 ( 1/s^2 ) ( 1 – e^-30s)
Answer:
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Explanation:
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Answer:
e.)At twice the distance, the strength of the field is E/4.
Explanation:
The strength of the electric field at a certain distance from a point charge is given by:
![E=k\frac{Q}{r^2}](https://tex.z-dn.net/?f=E%3Dk%5Cfrac%7BQ%7D%7Br%5E2%7D)
where
k is the Coulomb's constant
Q is the charge
r is the distance from the point charge
In this problem, the distance from the point charge is doubled:
r' = 2r
So the new electric field strength is
![E'=k\frac{Q}{(2r)^2}=k \frac{Q}{4 r^2}=\frac{1}{4} (k\frac{Q}{r^2})=\frac{E}{4}](https://tex.z-dn.net/?f=E%27%3Dk%5Cfrac%7BQ%7D%7B%282r%29%5E2%7D%3Dk%20%5Cfrac%7BQ%7D%7B4%20r%5E2%7D%3D%5Cfrac%7B1%7D%7B4%7D%20%28k%5Cfrac%7BQ%7D%7Br%5E2%7D%29%3D%5Cfrac%7BE%7D%7B4%7D)
so, at twice the distance the strength of the field is E/4.
Gamma rays because it has more penetrating power and frequency but shorter wavelength.
In thermodynamics, work of a system at constant pressure conditions is equal to the product of the pressure and the change in volume. It is expressed as follows:
W = P(V2 - V1)
W = 1.3x10^5 (2x6 - 6 )
<span>W = 780000 J
</span>
Hope this answers the question. Have a nice day.