Answer:
Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core.
Explanation:
Answer:
1) t=1.743 sec
2)Vo=61.388 m/sec
3)the x component of its velocity just be- fore it strikes the ground is the same as the initial velocity of the ball that is=61.388 m/sec
4)Vf=17.08 m/s
Explanation:
1)From second equation of motion we get
h=Vit+(1/2)gt^2
here in case(a): Vi=0 m/s,h=14.9m,,put these values in above equation to find the time the ball is in motion
14.9=(0)*t+(1/2)(9.8)t^2
t^2=14.9/4.9
t^2=3.040 sec
t=1.743 sec
2) s=Vo*t
Putting values we get
107=Vo*1.743
Vo=61.388 m/sec
3)the x component of its velocity just be- fore it strikes the ground is the same as the initial velocity of the ball that is=61.388 m/sec
4)From third equation of motion we know that
Vf^2-Vi^2=2gh
here Vi=0 m/s,h=14.9 m
Vf^2=Vi^2+2gh=0+2(9.8)(14.9)
Vf^2=292.04
Vf=17.08 m/s
Answer:
Isn't love a social construct?
Explanation:
Answer:
The maximum voltage is 41.92 V.
Explanation:
Given that,
Peak voltage = 590 volts
Suppose in an L-R-C series circuit, the resistance is 400 ohms, the inductance is 0.380 Henry, and the capacitance is
.
We need to calculate the resonance frequency
Using formula of frequency
![f=\dfrac{1}{2\pi\sqrt{LC}}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B2%5Cpi%5Csqrt%7BLC%7D%7D)
Put the value into the formula
![f=\dfrac{1}{2\pi\sqrt{0.380\times1.20\times10^{-8}}}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B2%5Cpi%5Csqrt%7B0.380%5Ctimes1.20%5Ctimes10%5E%7B-8%7D%7D%7D)
![f=2356.88\ Hz](https://tex.z-dn.net/?f=f%3D2356.88%5C%20Hz)
We need to calculate the maximum current
Using formula of current
![I=\dfrac{V_{c}}{X_{c}}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BV_%7Bc%7D%7D%7BX_%7Bc%7D%7D)
![I=2\pi\times f\times C\times V_{c}](https://tex.z-dn.net/?f=I%3D2%5Cpi%5Ctimes%20f%5Ctimes%20C%5Ctimes%20V_%7Bc%7D)
![I=2\pi\times2356.88\times1.20\times10^{-8}\times590](https://tex.z-dn.net/?f=I%3D2%5Cpi%5Ctimes2356.88%5Ctimes1.20%5Ctimes10%5E%7B-8%7D%5Ctimes590)
![I=0.1048\ A](https://tex.z-dn.net/?f=I%3D0.1048%5C%20A)
Impedance of the circuit is
![z=\sqrt{R^2+(X_{L}^2-X_{C}^2)}](https://tex.z-dn.net/?f=z%3D%5Csqrt%7BR%5E2%2B%28X_%7BL%7D%5E2-X_%7BC%7D%5E2%29%7D)
At resonance frequency ![X_{L}=X_{C}](https://tex.z-dn.net/?f=X_%7BL%7D%3DX_%7BC%7D)
![Z=R](https://tex.z-dn.net/?f=Z%3DR)
We need to calculate the maximum voltage
Using ohm's law
![V=I\times R](https://tex.z-dn.net/?f=V%3DI%5Ctimes%20R)
![V=0.1048\times400](https://tex.z-dn.net/?f=V%3D0.1048%5Ctimes400)
![V=41.92\ V](https://tex.z-dn.net/?f=V%3D41.92%5C%20V)
Hence, The maximum voltage is 41.92 V.