Answer:
a.) 10Hz
b.) 0.1 s
c.) 187.4 m/s
d.) -412.6 m/s^2
Explanation:
Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.
(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?
from the equation given, the angular speed w = 20π
but w = 2πf
where f = frequency.
substitute w for 20π
20π = 2πf
f = 20π/2π
f = 10 Hz
(b) What is t the first time that the object is at its farthest right?
since F = 1/T
T = 1 / f
T = 1/10
T = 0.1 s
Therefore, the t of first time that the object is at its farthest right is 0.1 s
(c) At the time found in part (b), what is the object's velocity?
The velocity can be found by differentiating the equation;
x(t) = 3sin(20πt)
dx/dt = 60πcos(20πt)
where dx/dt = velocity V
V = 60πcos(20π * 0.1)
V = 187.4 m/s
(d) At the time found in part (b), what is the object's acceleration?
to get the acceleration, differentiate equation V = 60πcos(20πt)
dv/dt = -1200πSin(20πt)
dv/dt = acceleration a
a = -1200πSin(20πt)
substitute t into the equation
a = -1200πSin(20π * 0.1)
a = - 412.6 m/s^2
Answer:
Facilitated diffusion of solutes occurs through protein pores in the membrane.
Explanation:
Facilitated diffusion: It is known as a type a passive transport which diffuses the solutes through specific trans membrane integral proteins in the plasma membrane. Transport proteins helps in diffuse some ions, and molecules across the plasma membrane.
There are three types of transport proteins which are involved in this diffusion:
1) gated channel proteins.
2) carrier proteins.
3) channel proteins.
Some example of facilitated diffusion are: glucose transporter, ion channels, and aquaporins.
$10,350 is the amount of money that has been collected mangoes are sold by Anya and Lauren at $15.
Number of mangoes of Anya's = 115 mangoes
Number of mangoes of Lauren's = 5 × 115 = 575 mangoes
Total number of mangoes = Number of mangoes Anya has + Number of mangoes Lauren has
= 115 + 575
= 690 mangoes
Amount each mango sold = $15
The total amount of money collected = Total number of mangoes × Amount each mango were sold
= 690 × 15
= $10,350
So, therefore, Anya and Lauren sold their total mangoes for $10,350.
Learn more about the revenue at
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I think that peeing might be the correct answer? xD
Answer:
पत्र- अपने क्षेत्र की सड़कों की बुरी दशा की जानकारी देते हुए और उन्हें ठीक कराने की प्रार्थना करते हुए नगर निगम अधिकारी को पत्र लिखिए |
