Answer:
4000 Hz
Explanation:
An anti-alias filter is usually added in front of the ADC to limit a certain range of input frequencies in order to avoid aliasing. This filter is usually a low pass filter that passes low frequencies but attenuates the high frequencies.
The Nyquist sampling criteria states that the sampling rate should be at least twice the maximum frequency component of the desired signal.
Sampling rate = 2(max input frequency)
From the relation we can find out the cut-off frequency for the anti-aliasing filter.
max input frequency = sampling rate/2
max input frequency = 8100/2 = 4050 Hz
Therefore, 4000 Hz would be an appropriate cut-off frequency for the anti-aliasing filter.
Answer:
(3) Gabbro
Explanation:
Gabbro is a dark-colored, coarse-grained and intrusive igneous rock. Generally, this type of rock is having dark green or black color. The main composition of this type of rock is augite and plagioclase minerals.
The approximate composition of Gabbro rock given as
1 .25% plagioclase feldspar
2.5% amphibole
3.10% olivine
5460% pyroxene
Therefore the answer will be (3).
(3) Gabbro
Answer:
A unit vector is (D) a vector with a magnitude of one
Explanation:
<u>Unit Vector Information:</u>
A unit vector is a vector with a magnitude of one. Vectors of different magnitudes can be scaled off the unit vector. Also, they can be used in two, three, or more dimensions.
<u>Other Answers:</u>
A. a vector with all three directions or dimensions that are given
This is the definition of a 3D vector. This is a line segment in three-dimensional space running from point A (tail) to point B (head). Each vector has a magnitude (or length) and direction.
B. a vector with only one dimension
This is the definition of an one-dimensional vector. This type of vector has no dimension, but a number of components, therefore it behaves like a real number.
C. a vector that has an x and y components that are equal in magnitude
(Unsure, I believe this would be defined as an equal vector. Correct me if I'm wrong and I will edit it.)
I hope this helps!
At a depth of 10 m, the manatee's neutral buoyancy keeps it at the same level in water as if there were no air inside its lungs. However, because more air is now contained in the manatee's lungs than before it dove, its weight increases by 9.81 kg and therefore it accelerates downwards (due to momentum). This downward acceleration continues until equilibrium is reached and then ceases due to gravity pulling on both objects equally.
As a result, the manatee now becomes negatively buoyant and must rise to compensate.
<h3>What does it mean when something has neutral buoyancy?</h3>
When something has neutral buoyancy, it is not affected by the weight of anything above or below it.
This means that objects with neutral buoyancy will stay in place regardless of how high or low they are located in a liquid medium.
Examples of things with neutral buoyancy include air balloons and swimming caps.
To learn more about neutral buoyancy, visit:
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The average force on the ball is 287.3 N.
Explanation:
The impulse exerted on an object, which is equal to the product between the force exerted and the duration of the collision, is equal to the change in momentum of the object.
If we apply this to the ball, we can write:
where
F is the force exerted on the ball
is the duration of the collision
m = 513 g = 0.513 kg is the mass of the ball
u = 12.1 m/s is the initial velocity of the ball
v = -13.1 m/s is the final velocity (negative since the ball rebounds in the opposite direction)
And solving for F, we find:
So, the magnitude of the average force is 287.3 N.
Learn more about impulse and change in momentum:
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