Answer:
0.78m/s
Explanation:
We are given that
Acceleration=![a=\frac{1}{4}s^{\frac{1}{2}}m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B4%7Ds%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dm%2Fs%5E2)
v=0, s=1 when t=0
We have to find the particle's velocity at s=2m
We know that
![a=\frac{dv}{dt}=\frac{dv}{ds}\times \frac{ds}{dt}=\frac{dv}{ds}v](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bdv%7D%7Bdt%7D%3D%5Cfrac%7Bdv%7D%7Bds%7D%5Ctimes%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7Bdv%7D%7Bds%7Dv)
![vdv=ads](https://tex.z-dn.net/?f=vdv%3Dads)
![\int_{0}^{v} vdv=\int_{1}^{s}0.25s^{\frac{1}{2}}ds](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7Bv%7D%20vdv%3D%5Cint_%7B1%7D%5E%7Bs%7D0.25s%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dds)
![\frac{v^2}{2}=0.25\times \frac{2}{3}(s^{\frac{3}{2})^{s}_{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D0.25%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%28s%5E%7B%5Cfrac%7B3%7D%7B2%7D%29%5E%7Bs%7D_%7B1%7D)
By using formula:![\int x^ndx=\frac{x^{n+1}}{n+1}+C](https://tex.z-dn.net/?f=%5Cint%20x%5Endx%3D%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%2BC)
![\frac{v^2}{2}=0.25\times \frac{2}{3}(s^{\frac{3}{2}}-1](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D0.25%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%28s%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D-1)
Substitute s=2
![\frac{v^2}{2}=\frac{0.50}{3}((2^{1.5})-1)](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D%5Cfrac%7B0.50%7D%7B3%7D%28%282%5E%7B1.5%7D%29-1%29)
![\frac{v^2}{2}=\frac{0.50}{3}\times 1.83](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D%5Cfrac%7B0.50%7D%7B3%7D%5Ctimes%201.83)
![v^2=2\times 0.305=0.61](https://tex.z-dn.net/?f=v%5E2%3D2%5Ctimes%200.305%3D0.61)
![v=\sqrt{0.61}=0.78m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B0.61%7D%3D0.78m%2Fs)
Hence, the velocity of particle at s=2m=0.78m/s
Answer:
a)
![z=561.7](https://tex.z-dn.net/?f=z%3D561.7)
b)
![z=214.1](https://tex.z-dn.net/?f=z%3D214.1)
Explanation:
L = inductance of the Inductor = 3.14 mH = 0.00314 H
C = capacitance of the capacitor = 5.08 x 10⁻⁶ F
a)
f = frequency = 55.7 Hz
Impedance is given as
![z=\frac{1}{2\pi fC} - 2\pi fL](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B2%5Cpi%20fC%7D%20-%202%5Cpi%20fL)
![z=\frac{1}{2(3.14) (55.7)(5.08\times 10^{-6})} - 2(3.14) (55.7)(0.00314)](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B2%283.14%29%20%2855.7%29%285.08%5Ctimes%2010%5E%7B-6%7D%29%7D%20-%202%283.14%29%20%2855.7%29%280.00314%29)
![z=561.7](https://tex.z-dn.net/?f=z%3D561.7)
b)
f = frequency = 11000 Hz
Impedance is given as
![z= - \frac{1}{2\pi fC} + 2\pi fL](https://tex.z-dn.net/?f=z%3D%20-%20%5Cfrac%7B1%7D%7B2%5Cpi%20fC%7D%20%2B%202%5Cpi%20fL)
![z= - \frac{1}{2(3.14) (11000)(5.08\times 10^{-6})} + 2(3.14) (11000)(0.00314)](https://tex.z-dn.net/?f=z%3D%20-%20%5Cfrac%7B1%7D%7B2%283.14%29%20%2811000%29%285.08%5Ctimes%2010%5E%7B-6%7D%29%7D%20%2B%202%283.14%29%20%2811000%29%280.00314%29)
![z=214.1](https://tex.z-dn.net/?f=z%3D214.1)
When cattle are processed, the most likely use for the animals' skin is in
the production of Leather.
<h3 /><h3>Animals used for Leather production</h3>
The commonly used animals in leather production is however cattle and
they amount for a large percentage of leather present today. They also
involve various techniques such as tanning and crusting to ensure
conversion to leather.
Read more about Leather here brainly.com/question/2494725
The phenomenon that is occurring is depicted in fig. Induction can be used to provide an explanation for this. As seen in Fig., when a negatively charged plastic rod is pushed close to a metal rod that is initially unaltered, the metal rod's left end picks up positive charges while the right end will pick up negative charges as a result of induction. when the empty metal ball is brought close to the metal rod's right end. The ball's near face subsequently develops a positive charge as a result of induction, and this positive charge attracts the rod since opposite charges are attracted to one another.
<h3>
Define Induction?</h3>
Electromagnetic induction, often known as induction, is the technique of creating electrical current in a conductor by exposing the conductor to a fluctuating magnetic field. Because the magnetic field is thought to have induced the current in the conductor, it is known as induction.
To learn more about Induction, visit:
brainly.com/question/18575018
#SPJ4
Answer:
a toy car speed is about 2.5 to 3.5 mph