The frequency of the wave of the wind gusts is determined as 40 Hz.
What is frequency of a wave?The frequency of a wave is the number of waves that pass a fixed point in a given amount of time. In other words, is the number of cycles completed by a wave in a given time period.
Mathematically, the relationship between frequency, velocity and wavelength of a wave is given as;
v = fλ
f = v / λ
where;
f is the frequency of the wavev is the velocity of the waveλ is the wavelengthf = (2 m/s) / (0.05 m)
f = 40 Hz
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a negative feedback system has the forward path transfer function g and feedback path transfer function h indicated below. you wish to add a controller gc to the system in cascade compensation with the plant, which means it is in the forward path. if gc has the form indicated below, and assuming the gain k is positive, what is the upper limit on the value of k? use the frequency response methods to find your answer.
The best technique to determine a system's response at a specific frequency is to drive the system being tested with a sine wave at the target frequency while keeping an eye on the relevant system output (s).
How does frequency response analysis work?
The process of measuring points on the frequency response of a transfer function or impedance function using a sinusoidal test signal is known as frequency response analysis. The fundamental configuration of a sine wave being applied to a system with a transfer function G is represented in Figure 1 (s).
The significance of frequency response analysis?
Frequency response analysis is frequently required with many modern electrical designs to make sure they meet performance standards. You can examine how the outputs of your circuit designs respond to a wide range of various frequency inputs using this area of signal characterisation.
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sketch a pavement serviceability curve, label the axes, and indicate initial and terminal serviceability
In the given figure we see the sketch of a pavement serviceability curve, label the axes, and indicate initial and terminal serviceability.
To fulfill the requirements of the Road Test, rather ordinary terms were given specific definitions as follows:
Present Serviceability: the ability of a specific section of pavement to serve highspeed, high-volume, mixed (truck and automobile) traffic in its existing condition. (Note that the definition applies to the existing condition that is, on the date of rating not to the assumed condition the next day or at any future or past date.)
This definition applies to the Road Test and can apply to any primary highway system, the system would easily be modified for use with city streets, farm roads, etc. Obviously, serviceability must be defined relative to the intended use of the road.
This is the sketch of a pavement serviceability curve, label the axes, and indicate initial and terminal serviceability
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question a company determines the mean and standard deviation of the number of sick days taken by its employees in one year. which of the following is the best description of the standard deviation?
A company determines the mean and standard deviation of approximately the mean distance between the number of sick days taken and the mean number of sick days taken by all employees.
What is standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.
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a large raindrop--the type that lands with a definite splat--has a mass of 0.014 gg and hits your roof at a speed of 8.1 m/sm/s.
The magnitude of the impulse that was transmitted to your roof is 1.134 x 10⁵ kg/m/s.
How would you define magnitude?In physics, size is simply described as "distance or quantity." It reflects the absolute or absolute motion the size in which an item moves in the idea of motion. It is utilized to define something's size or extent. Size in physics generally relates to a size or quantity.
Briefing:The impact's force is 0.0307 N in magnitude.
The parameters are as follows: raindrop mass,
m = 0.0014 g = 0.0014 x 10³ kg
raindrop speed, v = 8.1 m/s
raindrop motion, t = 0.37 ms.
The roof impulse is calculated using the formula below:
J = ΔP = mv
J=(0.0014*)*(8.1)\sJ= 1.134* 10⁵ kg.m/s
The following methods are used to calculate the force of impact using Newton's second law of motion:
F=ma
N=0,0307 F=(mv)/t
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The complete question is -
A large raindrop--the type that lands with a definite splat--has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s. part a what is the magnitude of the impulse delivered to your roof? express your answer with the appropriate units.
newton's third law formula; what is newton's third law of motion called; state and explain newton's third law of motion; state newton's third law of motion class 9; what is newton's third law example; law of interaction; an object's resistance to change its motion; 10 examples of newton's third law of motion
The third law is also known as the law of action and reaction
FA = −FB.
Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction (FA = −FB).
Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object (FA = −FB).
For every action there is a reaction equal in magnitude and opposite in direction.
Examples of Newton's Third Law of Motion are:
Rowing a boat
Attraction of paper clip to a magnet
Recoil of a gun
Therefore, The third law is also known as the law of action and reaction (FA = −FB).
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What is the only force acting on a freely falling object?
The gravitational force is the sole external force acting on an object falling through a vacuum.
What forces are at play when something is falling?A fall also involves the force of gravity pulling an object downward. The force of gravity is imbalanced at the beginning of the descent. The result is that the thing picks up speed or accelerates. It experiences aerodynamic drag or air resistance as it speeds.
What is a free fall's force?
As the only force acting on an object that is falling freely is the downward-acting force of gravity, the object feels weightlessness. The item accelerates at a rate equal to that of gravity. The object is subject to zero net force.
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The Little Prince (a character in a book by Antoine de Saint-Exupery) lives on the spherically symmetric asteroid B-612. The density of B-612 is 5000 kg/cubic meter. Assume that the asteroid does not rotate. The Little Prince noticed that he felt lighter whenever he walked quickly around the asteroid. In fact, he found that he became weightless and started to orbit the asteroid like a satellite whenever he speeded up to 1.80 m/s. (a) Estimate the radius of the asteroid from these data. (b) What is the escape speed for the asteroid? (c) Suppose that B-612 does rotate about an axis such that the length of the day there is 12.0 h. Can the Little Prince take advantage of this rotation when he wants to orbit the asteroid? What is his minimum ground speed for orbit in this case?
The correct answers are A6. (a) 1.66 km (b) 2.83 m/s (c) 1.76 m/s but I don't understand how to get them
(a) To estimate the radius of the asteroid, we can use the formula v = √(GM/r), where v is the escape velocity, G is the gravitational constant (6.67x10-11 m3/kg/s2), M is the mass of the asteroid, and r is the radius of the asteroid.
Since we know the escape velocity (1.80 m/s) and the mass of the asteroid (5000 kg/m3 x 4π/3 x r3, where r is the radius), we can solve for the radius.
We know that M = 5000 kg/m3 x 4π/3 x r3. Substituting this value for M into the equation v = √(GM/r) and solving for r, we get r = (GM/v2)1/3. Plugging in the values for G, M, and v, we get r = (6.67x10-11 m3/kg/s2 x 5000 kg/m3 x 4π/3 x (1.80 m/s)2)1/3, or r = 1.66 km.
(b) The escape speed of the asteroid is the speed required for an object to escape the gravitational pull of the asteroid. This can be calculated using the formula v = √(2GM/r), where v is the escape velocity, G is the gravitational constant (6.67x10-11 m3/kg/s2), M is the mass of the asteroid, and r is the radius of the asteroid.
Plugging in the values for G, M, and r (M = 5000 kg/m3 x 4π/3 x (1.66 km)3 and r = 1.66 km), we get v = √(2 x 6.67x10-11 m3/kg/s2 x 5000 kg/m3 x 4π/3 x (1.66 km)3)/(1.66 km), or v = 2.83 m/s.
(c) Yes, the Little Prince can take advantage of the rotation of the asteroid when he wants to orbit it. The minimum ground speed for orbit in this case is equal to the speed of the asteroid's rotation, which is 1.76 m/s.
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A ball is held at rest at some height above a hard, horizontal surface. Once the ball is released it falls, hits the surface, and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified.How many times will the ball bounce before coming to rest (if at all)? Provide a detailed explanation of your reasoning, not simply a one-line answer.How long will it take for the ball to come to rest (if at all)? Give your answer as a formula that contains as variables only p and the time T1 from the moment that the ball was released to the first contact with the horizontal surface.
It can never theoretically become 0. After n bounces, it may be closer to 0 or extremely tiny, depending on the precise values of p and T1.
Briefing:initial height dropped =h = gT12/2
T1 - time from the moment that the ball was released to the first contact with the horizontal surface.
initial energy T = mgh
after first bounce energy loss = mghp
height it will raise after first bounce mgh1 = mgh(1-p)
after each bounce its energy is reduced by p
after n bounces it will raise to a height
mghn=mgh(1-p)n
hn= h(1-p)n = gT12/2 *(1-p)n
gT₁² (1-p)n/2
Theoritically hn can never become 0. It can be closer to 0 or can be negligibly small after n bounces, depending on the actual values of p and T1 .
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Above a flat horizontal plane, arrow A is shot horizontally from a bow at a speed of 20 meters per second, as shown in the following diagram. A second arrow B is dropped from the same height and at the same instant as A is fired. Compare the amount of time A takes to strike the plane to the amount of time B takes to strike the plane. [Neglect friction.]
It takes same time for A and B to strike the plane.
Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration directed towards the centre of the earth. The path of such a particle is called a projectile, and the motion is called projectile motion.
Given above a flat horizontal plane, arrow A is shot horizontally from a bow at a speed of 20 meters per second.Also a second arrow B is dropped from the same height and at the same instant as A is fired.Since height and speed are same along with initial position, there will be no change in time.So both A and B strikes the plane at same time.
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An inventive child named Nick wants to reach an apple in a tree without climbing the tree. Sitting in a chair connected to a rope that passes over a frictionless pulley (see figure below), Nick pulls on the loose end of the rope with such a force that the spring scale reads 310 N. Nick's true weight is 290 N, and the chair weighs 160 N. Nick's feet are not touching the ground.
(b) Show that the acceleration of the system is upward. (Do this on paper. Your instructor may ask you to turn in this work.)
Find its magnitude.
m/s2
(c) Find the force Nick exerts on the chair.
N
b) The magnitude of the acceleration of system is [tex]3.7m/s^2[/tex].
c)The force exerted by nick on the chair is 89.483 N.
Given,
weight of nick = 290 N
Weight of chair = 160 N
Spring scale force ,T = 310 N
then,
Total weight = 290+160= 450 N
b)
then the total mass be
Mass ,[tex]m = \frac{weight}{force}= \frac{450}{9.8} = 45.918 Kg[/tex]
By adding the forces of both ropes, the upward force can be calculated.
Net upward force = 310 + 310 = 620 N
The downward force can be calculated by adding the forces generated by Nick and its chair.
Net downward force = 290 + 160 = 450 N
Then, the resultant force be,
F = Net upward force - Net downward force = 620 - 450 = 170 N
To determine acceleration use formula,
[tex]F=ma\\\\45.918*a = 170\\\\a = \frac{170}{45.918} = 3.7 m/s^2[/tex]
Because net upward force exceeds net downward force, the resultant force is directed upwards thus the acceleration is also upward.
c)
The force exerted by nick on the chair can be calculated by
F = n + T - 290\\\\
ma=n+T-290
Here, consider only nick's weight then mass will be
[tex]m=\frac{290}{9.8}=59.591 kg[/tex]
[tex]59.591*3.7=n+310-290\\\n=89.483 N[/tex]
Thus, the force exerted by nick on the chair is 89.483 N
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what is the maximum speed of a 330 kg car if the spring is compressed the full amount? express your answer with the appropriate units.
A spring that has been fully compressed can move at a maximum speed of 4.993 m/s. According to kinetic theory, molecules in any system are orientated arbitrarily.
Determine the maximum speed?The weight of the spring is 330 kg, According to kinetic theory, molecules in any system are orientated arbitrarily. The radial and angular components of every molecule are unique.According to theory, the root mean square notion is used to compute energy leakage in any system.An illustration of determining energy dissipation parameters in electronics is zero current.When 3RT = mv2 and v2 = 3RT/m T/m = 1, K.E = 3RT/2 and K.V = mv2.A spring that has been fully compressed can move at a maximum speed of 4.993 m/s.To learn more about Maximum speed refer to:
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A 240 lb force (P) directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 6 in long and that a=4 in. determine the horizontal force exerted on block E. (Round the final answer to two decimal places).
The horizontal force exerted on block E is ( )lb.
The horizontal force applied on block E is 1343.89 lbs
Let [tex]E_{y}[/tex] and Eₓ are reactions and AD=d, now as ∑[tex]M_{A}[/tex]=0=D
[tex]E_{yx}[/tex]d = [tex]P_{x}[/tex]d=D[tex]E_{y}[/tex]=P=240lbs
BB'=a×sin15°
=1.035m
B'E=6×cos15°
now,∑[tex]M_{B}[/tex]=0
Eₓ×BB'=[tex]E_{y}[/tex]×B'E
Eₓ=240×5.795/1.035
Eₓ=1343.89 lbs
Any action that seeks to preserve, modify, or deform a body's motion is considered to be a force in mechanics. The concept of force is typically described in terms of Isaac Newton’s three laws of motion set forth in his Principia Mathematica (1687). (1687). Newton's first law states that until a force is applied to a body, it will remain in either its resting or uniformly moving state in a straight path. The second law indicates that when an external force acts on a body, it creates acceleration.
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A 1800 kg car traveling at a speed of 23 m/s skids to a halt on wet concrete where μk = 0.60. How long are the skid marks?
The length of the skid marks of a car of mass 1800 kg is 21.59 m.
What is length?Length is the distance between two points.
To calculate the length of the skid mark, we use the formula below
Formula:
d = (v²-μv²)/g.................. Equation 1Where:
d = Length of the skid marksv = Velocity of the carμ = Coefficient of kinetic frictiong = Acceleration due to gravityFrom the question,
Given:
v = 23 m/sμ = μk = 0.6g = 9.8 m/s²Substitute these values into equation 1
d = [23²-(0.6×23²)]/9.8d = (529-317.4)/9.8d = 211.6/9.8d = 21.59 mHence, the length of the skid marks is 21.59 m.
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one 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown. (a) if the buckets are at rest, what is the tension in each cord? (b) if the two buckets are pulled upward with an acceleration of 1.60 m/s2 by the upper cord, calculate the tension in each cord.
The tension in each cord will be T₁ = 35.3 N and T₂ = 70.7 N
In a one-dimensional string, its is a scalar quantity. Tension is not negative. If the tension is zero, the string is slack.
Unlike ropes and cords, which have a length dimension but no cross section, ropes and cords have no mass. Since the tension is constant along the string, there is no non-oscillating or pulley bending as occurs with vibrating or pulleys.
According to Newton's third law, these are the forces exerted on the ends of a string or rope by the object to which the ends are attached. When a string vibrates, the frequency produced is determined by the tension. These frequencies are derived from Newton's laws of motion.
The relation to calculate the tension is given by:
ΣF' = ma
T₂-T₁-mg=ma
T₂= T₁+mg+ma
On plugging the values in the above relation, you get:
T₂=(35.3 N)+(3.2 kg)(9.81 m/s²)+(3.2 kg)(1.25 m/s²)
T₂=70.7 N
Thus, T₁ = 35.3 N and T₂ = 70.7 N are the tensions on each cord.
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which graph represents a line with a slope of and a y intercept; arnoldo needs to write this system in slope-intercept form. which shows how he could do that?; which graph shows the system of equations and ?
The equation for the line that must be expressed in slope-intercept form is:3 x -2 y=6Y = m x + c is the equation for the line in slope intercept form.
How does one determine slope intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y interception point is represented by b in the equation.
what is Slope intercept is defined.The slope and intercept of a line show how steep it is, and the intercept shows where the line crosses an axis. It is possible to calculate an average rate of change using the slope and intercept, which describe the relationship between two variables.
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which of the following parameters affect the root-mean-squared (rms) speed of a sample of a pure substance in the gas phase?
The root-mean-squared speed of a sample of a pure substance in the gas phase is effected by a)temperature of the sample. So, correct option is A.
Genuinely, the root mean square (RMS) is the square foundation of the mean square, which is the number-crunching mean of the squares of a gathering of values. RMS is likewise called a quadratic mean and is an exceptional instance of the summed up mean whose example is 2. Root mean square is likewise characterized as a changing capability in view of a vital of the squares of the qualities which are quick in a cycle.
As such, the RMS of a gathering of numbers is the square of the number-crunching mean or the capability's square which characterizes the persistent waveform.
RMS is given by the below formula,
[tex]v_r_m_s[/tex] =√3KT/m
where K is Boltzmann constant,
T is the temperature,
and m is called as mass of the gas particle.
Hence, correct option is A.
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(Complete question) is:
Which of the following parameters affect the root-mean-squared (rms) speed of a sample of a pure substance in the gas phase?
a)temperature of sample
b)boltzmann constant
c)both a and b
d)None of the above.
from the list of terms below, choose the ones associated with the fault you observed in the gigapan image. select the three that apply.
The ones associated with the fault you observed in the GigaPan image:
Extension of the crustTensional environmentNormal faultWhen rocks slip through each other in a fault, the upper or overlying blocks along the fault plane are called hanging walls or headwalls. The underlying blocks are called foot walls. Tectonic basins are formed by crustal activity. A dimple is a fold where the originally horizontal layer is folded and the two legs of the fold are folded.
Tectonic activity is the movement of large portions of the Earth's crust called tectonic plates. Crustal activity is the cause of phenomena such as earthquakes and volcanoes. Gneiss is a type of metamorphic rock that forms when the sedimentary or igneous rock is subjected to extreme temperatures and pressures.
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examine the second figure(figure 2), in which you see jackie's spaceship traveling at 1000 km/hr , with the ship's headlight on. according to special relativity, jackie would say that a beam of light from the headlight is traveling at , and you would say that the beam of light is traveling at .
light from the headlight is traveling at speed of light , and you would say that the beam of light is traveling at Speed of light.
A fundamental premise of relativity is that everyone always measures the same speed of light, c, no matter how the observer or the light source may be moving. Note that this makes light different from material objects such as baseballs.
The speed of light in a vacuum, commonly denoted by c, is a universal physical constant important in many areas of physics. The speed of light, c, is exactly 299,792,458 meters/second (about 300,000 km/second; 186,000 miles/second; 671 million miles/hour). According to special relativity, c is the speed at which conventional matter or energy (and thus any signal carrying information) can travel in space.
All forms of electromagnetic radiation, including visible light, travel at the speed of light. For many practical purposes, light and other electromagnetic waves appear to travel instantaneously, but for long distances and highly sensitive measurements, finite velocities have significant implications.
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Is a net force of 0 balanced or unbalanced?; What does a net force of 0 N mean?; When the net force acting on an object is not 0 n the forces acting on the object are?; What happens when the net force is 0?
The forces acting on this object are Balanced and the net force is 0 N,
A system is said to be balanced, when the resultant of the forces acting on the system is 0.
If the net force acting on an object is 0 N the forces are balanced or not present.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
If the net force acting on an object is zero, then there may be no forces at all acting on it. If there ARE any, then they're balanced.
If the net force acting on an object is 0 N the forces are balanced or not present.
Therefore, the resultant force on the system is 0 N
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The GMAW-S process does not produce enough heat to make quality welds in sections much thicker than __________ unless it is used for the root pass on a grooved weld or to fill gaps in joints
The GMAW-S process does not produce enough heat to make quality welds in sections much thicker than 1/4(6 mm) unless it is used for the root pass on a grooved weld or to fill gaps in joints.
An object starts from rest then moves with constant acceleration for 5 seconds and travels a distance of 8 meters. What is the acceleration of the object?
An object starts from rest then moves with constant acceleration for 5 seconds and travels a distance of 8 meters. The acceleration of the object is 0.64 m/s.
The given values are,
s = 8 meters,
a= ?
t=5 s.
What is Acceleration?Acceleration is measured in meters per second squared (m/s^2). It must be noticed that acceleration is a vector, so it also has a direction.
In particular,
when acceleration is negative, it means that the object is slowing down, so acceleration is in opposite direction to the velocity.when acceleration is positive, it means that the object is speeding up, so acceleration is in the same direction as the velocity.Formula can be,
s=1/2 at² ,
where s= distance, a= acceleration, t =time
Therefore, a = 2s / (t²)
a = 2×8 / (5²)
= 16 / 25
= 0.64 m/s.
The acceleration of the object is 0.64 m/s.
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As a star ages, they get bigger and brighter (more luminous) which will move the edges of the habitable zone _____________Group of answer choicesCloser to the starFurther away from the starNone of the aboveIt won't move the edges of the habitable zone
As a star ages, they get bigger and brighter (more luminous) which will move the edges of the habitable zone further away from star will be right.
Luminous intensity, which is based on the luminosity function, is a measurement of the wavelength-weighted power emitted by a light source per unit solid angle in a specific direction. Measurements of visible light as seen by human eyes are the subject of photometry. Only the visible portion of the electromagnetic spectrum can be seen by the human eye, and different wavelengths of light within that spectrum are sensitive to the eye differently. The eye is most sensitive to greenish-yellow light at a wavelength of 555 nm when configured for bright settings (photopic vision).
Pierre Bouguer originally explored photometric principles in his work L'Essai d'Optique, published in 1729, in terms of the available light source, a wax candle.
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Differentiate Sexual and Asexual Reproduction
A wave with a wavelength of 3 m travels with a frequency of 450 Hz. What is its speed?
The speed of the wave is 1500m/s
What is the speed of a wave?The speed of a wave is determined by its wavelength and frequency. It is measured in meter per seconds. It is calculated from the expression speed= frequency ×wavelenghth. For example, if a wave has a wavelength of 5m and a frequency of 500 Hz , it's velocity is 500×5 =2500m/s
Similarly, the wave in question is of wavelength 3m and frequency 450 Hz , therefore it's speed will be calculated as ;
speed = frequency × wavelength
speed = 450×3= 1500m/s.
therefore the speed of the wave is 1500m/s.
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3. A 7.0-kg bowling ball is rolling down the alley with a velocity of 2.0 m/s. For each impulse, shown in Figures 9-3a and 9-3b, find the resulting speed and direction of motion of the bowling ball
(a) The resulting speed and direction of motion of the bowling ball in 1st graph is 0.71 m/s upward.
(B) The resulting speed and direction of motion of the bowling ball in 2nd graph is 0.71 m/s downward.
What is the impulse of the ball in the first graph?,The impulse experienced by an object is the product of applied force and time of motion.
The impulse of object is also equal to the change in momentum of the object.
J = ΔP = Ft
For the first graph;
J = 5 N x ( 2 - 1 ) s
J = 5 N x 1 s
J = 5 Ns = 5 kg m/s
The speed of the object is calculated as;
v = J / m
where;
m is the mass of the objectv = ( 5 kg m/s ) / ( 7 kg )
v = 0.71 m/s, upward
The impulse experienced by the object in the second graph is calculated as;
J = -5 N x 1 s
J = - 5 Ns = - 5kg m/s
v = J / m
v = - 5 kg m/s / 7 kg = - 0.71 m/s = 0.71 m/s, downward
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What can the arrow in a chemical reaction be translated to mean? Check all that applyA. yieldsB. accompanied byC. react to formD. added toE. except
The arrow in a chemical reaction is translated to mean yields and reactions to form.
We know,
A chemical reaction is simply known as an act or process by which chemical bonds between atoms are broken and new ones are generated. it entails making one or more different substances or compounds.The arrow simply directs us that when two or more elements are combined, a new substance is formed which is the yield, and then a reaction has taken place.Conclusively you can say that The arrow in a chemical reaction be translated to mean yields and react to form.
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(a) In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0 m, -2.0 m, 2.0 m) due to force F1 with components F1x = 5.0 N and F1y = F1z = 0?(b) In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0 m, -3.0 m, 2.0 m) due to force F2 with components F2x = 0, F2y = 3.0 N, and F2z = 5.0 N?
The torque about the origin is [tex]$2.0 \mathrm{Nm} \hat{i}-8.0 \mathrm{Nm} \hat{j}-12.0 \mathrm{Nm} \hat{k}$[/tex].
What is torque?
Torque[tex]$\vec{T}$[/tex] is the cross product between force [tex]$\vec{F}$[/tex] and vector position [tex]$\vec{r}$[/tex] respect a fixed point (in our case the origin):
[tex]\vec{\tau}=\vec{r} \times \vec{F}$$[/tex]
There are multiple ways to calculate a cross product but we're going to use most common method, finding the determinant of the matrix:
[tex]$\vec{r} \times \vec{F}=-\left[\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \\ F 1_x & F 1_y & F 1_z \\ r_x & r_y & r_z\end{array}\right]$[/tex]
[tex]\begin{aligned}& \vec{r} \times \vec{F}=-\left(\left(F 1_y r_z-F 1_z r_y\right) \hat{i}-\left(F 1_x r_z-F 1_z r_x\right) \hat{j}+\left(F 1_x r_y-F 1_y r_x\right) \hat{k}\right) \\& \vec{r} \times \vec{F}=-((0(2.0 m)-0(-3.0 m)) \hat{i}-((4.0 N)(2.0 m)-(0)(0)) \hat{j}+((4.0 N)(-3.0 m)- \\& 0(0) \hat{k}) \\& \vec{r} \times \vec{F}=-2.0 N m \hat{i}+8.0 N m \hat{j}+12.0 N m \hat{k}=\vec{\tau}\end{aligned}[/tex]
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which of the following are frequencies defined by 802.11 committees for wireless networking? (select two.)| 900 MHz | 1.9 GHz |2.4 GHz | 5.75 GHz | 10 GHz
According to 802.11 comedies the frequencies suitable for the Wireless networking R 2.5 GHz and 5.75 GHz.
The electromagnetic spectrum of the wave contains many types of electromagnetic waves.
Among these waves the waves used for the Wireless networking are radio waves.
The radio waves that are suitable as per the IEEE 802.11 for Wireless networking is suggested to be 2.5 GHz and 5.75 GHz.
These two frequencies are suitable for wireless communication because with their do not harm the environment and they do not intersect with each other.
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heteroatoms make a difference in the physical and chemical properties of an organic molecule because___.
Heteroatoms make a difference in the physical and chemical properties of an organic molecule because they substitute extra mass in an organic molecule
• Each heteroatom has its own characteristic chemistry. They substitute extra mass for the hydrocarbon structure. They increase the polarity of the organic molecule.
• Heteroatoms have an intense effect on the reactivity of organic molecules. Hydrocarbons have only a limited range of reactions, and so organic chemistry is often defined as the chemistry of carbon, it is the other elements that make it interesting.
• They are also classified as diatomic, triatomic, or polyatomic molecules depending on the number of atoms present. H2O, NH3, CH4, etc. are examples of heteroatomic molecules.
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a polonium isotope with an atomic mass of 207.981246 u207.981246 u undergoes alpha decay, resulting in a daughter isotope with an atomic mass of 203.973044 u.203.973044 u. ignoring any recoil of the daughter, find the kinetic energy of the emitted alpha particle in megaelectronvolts (mev).
The kinetic energy of the emitted alpha particle is 9.53MeV.
The kinetic energy that the alpha particle has emitted, is the energy in excess after removing the resting energy of the atoms and the helium nucleus that forms the alpha particle
Since energy and masses are related and cannot be
m₀ c² = c² + m_He c²+ K
K = c² (m₀ - m_{f} - m_He)
the mass of the Helium atom is 4 u
K = (3 10⁸)² (211,988868 -207.976652 - 4,002) 1,661 10⁻²⁷
K = 14,949 10⁻¹¹ (0.0102)
K = 1,527 10⁻¹² J
let's reduce 1 J = 6,242 10¹² MeV
K = 9.53 MeV
Therefore, The kinetic energy of the emitted alpha particle is 9.53MeV.
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