The car which accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s2 travels 69.33 m
The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
x = (vf²-vi²)/ (2a)
Where:
x = distancevf = final velocityvi = initial velocitya = accelerationInformation about the problem:
vi= 5.0 m/s vf = 21 m/sa = 3.0 m/s2x= ?Applying the distance formula, we have:
x = (vf²-vi²)/ (2a)
x = [(21 m/s)²- (5.0 m/s)²]/ (2 * 3.0 m/s²)
x = (441 m²/s²- 25 m²/s²)/ 6 m/s²
x = 416 m²/s²/ 6 m/s²
x = 69.33 m
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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How many photons per second, n, would enter an aperture of area a = 5cm2 located a distance d = 4 m from the light bulb? n =
Photons per second, n, would enter an aperture of area a = 5cm2 located a distance d = 4 m from the light bulb, N = 6.4886 *10¹²
What is photon?A particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to radiation frequency but has a zero rest mass.
A photon is a particle of light defined as a discrete bundle (or quantum) of the electromagnetic (or light) energy. Photons are always in the motion and, in a vacuum (a completely empty space), have a constant speed of light to all observers.
Assumption:
2.5% of electrical energy is converted into the light.
Power = 100W
So, to calculate energy of light per second, we simply multiply 100 to 2.5%
E = 100 * (2.5/100) = 2.5J
To calculate number of photons, we have the formula
N = (2.5 * λ)/h c
Now, using distance of 5m, we find area of the sphere using formula 4λR²
A=4*3.14*4² = 314m²
Now, to determine the number of photons passing through area of 3cm² or 0.0003m²
N = (5*10⁻⁴/314)*[(2.5*λ)/h c ]
Now by putting values we get,
N = (5*10⁻⁴/314)*[(2.5*540*10⁻⁹)/((6.626*10⁻³⁴J.s)(5*10⁸))]
N = 6.4886 *10¹²
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An elevator is being lifted up an elevator shaft at a constant speed by a steel cable. all frictional effects are negligible. in this situation, forces on the elevator are such that:_____.
A steel cable is moving an elevator up an elevator shaft at a consistent speed. The consequences of friction are all insignificant. In this case, the forces acting on the elevator are such that the cable's upward force is equal to the force of gravity pulling downward.
Second Law of Motion of Newton:Often referred to as Newton's Second Law of Motion, the Law of Force and Acceleration asserts that an object accelerates when it is subjected to a force using the formula net force = mass x acceleration (F = ma). Thus, the acceleration of the item is directly proportional to its force and inversely proportional to its mass. A body's momentum is determined by its mass and velocity together. Momentum is a vector quantity, just like velocity, having both a magnitude and a direction. The amount, direction, or both of the momentum can vary when a force is applied to a body.Learn more about the Newton 2nd law with the help of the given link:
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A charge q is located at the origin (0,0). the electric field at (x,y) is given (in terms of its components) by:__________
A charge q is located at the origin (0,0). the electric field at (x,y) is given (in terms of its components) by E1i^+E2j^+E3k^.
The size of the electric field produced by a point charge Q is determined by this equation. The distance r in the denominator is the separation between the point of interest and the point charge, Q, or the center of a spherical charge. Positive charge is moving in the opposite direction, toward a negative charge. Q1 will produce an E-field vector that points left at the origin, and Q2 will produce an E-field vector that points right. The electric force F, or Coulomb force, exerted per unit positive electric charge q at that place can be used to determine an electric field's strength, or E = F/q.
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The __________ weight is affected by the buoyancy force.
A-actual
B-apparent
C-floating
D-mass
The Floating weight is affected by the buoyancy force.
What cause the weight Buoyancy force?
As we clearly know that in buoyancy force the weight or any other object will float over the surface of the water and this force is known as buoyancy force. The reason behind the Buoyancy force is that the object seeming lighter in water.
The Buoyancy force can be define as the upward force exerted by the fluid on any weight or any object placed in it. The Buoyancy force is directly proportional to the density of the immersed fluid. The Buoyancy force is also proportional to the volume of the object immersed in the fluid.
So we can conclude that the floating weight is affected by the buoyancy force.
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A bicyclist is finishing his repair of a flat tire when a chicken runs by with a constant velocity
of 3.5 m/s. Two seconds later, the bicyclist hops on his bike and accelerates at 2.4 m/s² until he catches the chicken. (A) How much time does it take until he catches the chicken? (B) How far has he traveled in
this time?
The time does it take until he catches the chicken 4.28 seconds. he traveled 10.3 m/s this time.
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
3.5(t+2) = 0.5*2.4t+2, 3.5t + 7
= 1.2t+2, 1.2t+2 - 3.5t + 7 = 0, and d1 = d2
Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.
t = 4.28s.
d = d1 = d2 = 3.5(4.28+2)
= 22m.
The pace at which an object moves is its speed. The distance traveled divided by the time is the calculation for speed. Distance x time equals speed. The formula for distance can be found by rearranging the formula for speed.
V = Vo + at = 0.04 + 2.4 * 4.28
= 10.3 m/s.
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A balloon is a sphere with a radius of 5.0 m. the force of air against the walls of the balloon is 45 n. what is the air pressure inside the balloon?
The air pressure inside the balloon is: 0.1432 Pa
The formulas and procedures that we will use to solve this problem are:
a = 4 * π * r²P = F/aWhere:
a = area of the spherer = radiusπ = mathematical constantP = PressureF = Forcea = surface areaInformation about the problem:
r = 5.0 mF = 45 N1 Pa = N/m²1 N = kg * m/s²a=?P=?Using the formula of the sphere area we get:
a = 4 * π * r²
a = 4 * 3.1416 * (5.0 m)²
a = 314.16 m²
Applying the pressure formula we get:
P = F/a
P = 45 N/314.16 m²
P = 0.1432 Pa
What is pressure?It is a physical quantity that expresses the force applied on the area of a surface.
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Car drives uphill at 40 km/h and then back downhill at 60 km/h. what is the average speed for the round trip?
Answer:
48 km/hr
Explanation:
These are often calculated incorrectly because TIME is ignored
time = distance / rate
uphill = d / 40 downhill = d/60
average rate = distance / time
= 2d / ( d/40 + d/60) 2d is uphill + downhill
= 2 / ( 1/40 + 1/60 ) = 48 km/hr
Which of the following describes the length of a football field using the metric system?
Disclaimer:
Rugby is known as the football in the United States of America
Soccer is known as football in United Kingdom and rest of the world.
The question is also incomplete as no options have been mentioned
A football field in United States of America is the field of rugby and its measurement in metric system is 91.44 meters in length and 64 meters in width
A soccer field as per the standards set by FIFA is 108 meters in length and 68 meters in width
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Branches of physics and their meanings
Answer:
Physics is a scientific discipline that seeks to construct and experimentally test theories of the physical universe. These theories vary in their scope and can be organized into several distinct branches.
MECHANICS :
Mechanics is the branch of physics that deals with the motion of an object without or with the reference of force. Mechanics can be further divided into two branches, namely quantum mechanics and classical mechanics. Quantum mechanics deals with the behaviour of the smallest particles like neutrons, protons, and electrons, while classical mechanics is the branch that deals with laws of motion of forces and physical objects.
OPTICS :
This branch of physics deals with the behaviour, propagation, and properties of light. Optics can be simply described as the study of the behaviour of infrared light, visible light, and ultraviolet.
THERMODYNAMICS:
Thermodynamics deals with the study of heat and its relation with work and energy. Thermodynamics also deals with the transmission of heat energy by means of convection, conduction, and radiation.
ELECTROMAGNETISM:
Electromagnetism deals with the study of electromagnetic force like electric fields, light, magnetic fields, etc. There are two aspects of electromagnetism which are “electricity” and “magnetism”.
RELATIVITY:
This branch of physics deals with the theorem that was formulated by Albert Einstein. The theory of relativity states that space and time are relative and all the motion must be relative to a frame of reference.
ACOUSTICS :
Acoustics deals with the study of sound and its transmission, production, and effects. Acoustics mainly involves the mechanical waves in gases, liquids, and solids, which include vibration, sound, ultrasound, and infrasound.
This means the evidence is valid on its face, or based on the evidence, and the elements :_____
Prima facie means the evidence is valid on its face, or based on the evidence, and the elements.
What is prima facie?Prima facie, a Latin phrase that means "at first glance" or "based on first impression," The feminine versions of primus, which means "first," and facies, which means "face," both in the ablative case, would be translated literally as "at first face" or "at first appearance." "On the face of it" is a typical translation in contemporary, colloquial, and conversational English.
Prima facie refers to the initial appearance of enough supporting evidence to establish a case, and it is used in modern legal English (both in civil law and criminal law). Prima facie evidence is a term used in common law regimes to describe evidence that, absent rebuttal, would be sufficient to establish a certain claim or fact. In academic philosophy, the phrase is used similarly.
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A nurse is calculating the pulse pressure for a client who has a blood pressure of 150/80. what is the pulse pressure?
According to the given statement the pulse pressure = 70mm Hg.
The correct option is 2.
What is heart rate?Systolic, as well as diastolic blood pressure, as well as diastolic blood pressure, is divided to create pulse pressure. Mercury millimeters are used to measure it (mmHg).It represents the contractional force of the beating heart. Normal rested blood pressure is about 120/80 mmHg, which results in a pulse pressure of about 40 mmHg.
How is pulse pressure determined in nursing?Diastolic blood pressure is subtracted from systolic blood pressure to determine pulse pressure. Age-related changes in the aorta and minor arteries' compliance result in elevated systolic pressure and decreased diastolic pressure, which raises pulse pressure.
According to the given information:Diastolic and systolic blood pressure differences are used to compute pulse pressure.
So, 150 - 80
= 70.
According to the given statement the pulse pressure = 70mm Hg
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I understand that the question you are looking for is:
A nurse is calculating the pulse pressure for a client who has a blood pressure of 150/80. What is the pulse pressure?
1. 230 mm Hg
2. 70 mm Hg
3. 1.875 mm Hg
4. 140 mm Hg
2. 70 mm Hg
A one dimensional array data is declared as follows: char data[4]; the base address is 2222 and each value takes up one location in memory. what is the address of the fourth element?
The correct answer for the address of the fourth element will be 2225.
The fourth element will be data -.
So if the data[0] element starts at 2222, and each char element takes 1 byte, then
data[0] starts at 2222
data[1] starts at 2223
data[2] starts at 2224
data[3] starts at 2225
Answer: 2225
A linear data structure that collects elements of the same data type and stores them in contiguous and adjacent memory locations is known as an array. Arrays use an index system that ranges from 0 to (n-1), where n is the array's size.
The array data type is a compound data type represented in the database dictionary by the number 8. Arrays are collections of elements of the same data type that are accessed via an index (attribute) number. The terms array, list, vector, and sequence are all synonymous
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Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called a(n):_________
Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called an endospores.
What is heat resistance bacteria?
These are bacteria that thrive in temperatures above 131 degrees Fahrenheit (55 Celsius).
Ferdinand Cohn discovered the heat-resistant endospores of bacilli, and was active in applied microbiology.
Thus, Tyndall and cohn's experiments in the 1870s showed the presence of a heat-resistant form of bacteria called an endospores.
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A car is traveling at vxvxv_x = 25 m/sm/s . the driver applies the brakes and the car decelerates at axaxa_x = -5.0 m/s2m/s2 . what is the stopping distance?
Answer:
The stopping distance is 62.5m for a car traveling at vxvxv_x = 25 m/sm/s and the driver applies the brakes and the car decelerates at axaxa_x = -5.0 m/s2m/s2.
Explanation:
Acceleration occurring in the opposite direction of an object’s the motion, is negative or referred to as deceleration. The formula below (stopping distance) solely compares the magnitudes of distance travelled, beginning velocity, and deceleration.
We use the fourth equation of motion, v2 = u2 +2ax. When the car stops, we have v = 0, and so
0 = u2 +2ax.
Solving for x, we have
x =−u2/2a
Given the following information from the question
U= 25 ms-1
-a = 5.0 ms-2
x = -(25)2 / 2* 5
x =625/10
x = 62.5 m
Hence the car travels 62.5m as the brake is applied to come to a halt.
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The mass of an apple is 84g and the volume is 120 cm^3. Calculate the density in g/cm^3
Answer:
0.7 g/cm^3
Explanation:
Density = Mass / Volume
= 84g / 120 cm^3
= 0.7 g / cm^3
The ball in front of you is going to drop one meter. how long will it take to fall?
The ball will take 0.45 seconds to reach the ground
How will we solve this question?We will use Newton’s laws of motion, so
H= [tex](1/2)gt^2[/tex] taking height= 1m
[tex]1= (1/2) x 9.8 x t^2[/tex]
[tex]t=\sqrt{10/49} = 0.45 seconds[/tex]
What are the three laws of motion given by Newton?The 3 laws of motion given by Newton are as follows:
1) Unless an unbalanced force acts upon it, an item at rest remains at rest, and an object in motion continues to move in a straight line at a constant pace.
2) An object's acceleration is influenced by its mass and the force being applied.
3) Whenever one thing applies force to another, the second object applies the opposing, equal force to the first.
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A(n) ________ microscope keeps an object in focus when the objective lens is changed.
Parfocal is the term used to describe a microscope that maintains focus when the objective lenses are replaced.
What is the name of the objective lens ?For observing minute features within a specimen sample, a high-powered objective lens, often known as a "high dry" lens, is perfect. You can see a very detailed image of the specimen on your slide thanks to the 400x total magnification that a high-power objective lens and a 10x eyepiece provide.
The four objective lenses on your microscope are for scanning (4x), low (10x), high (40x), and oil immersion (100x).
The first-stage lens used to create a picture from electrons leaving the specimen is referred to as the "objective lens." The objective lens is the most crucial component of the imaging system since the quality of the images is determined by how well it performs (resolution, contrast, etc.,).
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After oxygen has been administered, the next priority intervention the nurse would initiate for a patient with a pulmonary embolus is the administration of which of these therapies?
After oxygen has been administered, the next priority intervention the nurse would initiate for a patient with a pulmonary embolus is the administration of IV Heparin.
What is Heparin?Heparin is a prescription medicine used to treat and prevent symptoms of blood clots caused by medical conditions or medical procedures. Heparin may be used alone or with the other medications. Heparin belongs to a class of drugs called the Anticoagulants, Cardiovascular, Anticoagulants, Hematologic.
What are the side effects of Heparin?Heparin may cause serious side effects including:
skin warmth or discoloration,
chest pain,
irregular heartbeats,
shortness of breath,
dizziness,
anxiety,
sweating,
unusual bleeding or bruising,
severe pain or swelling in your stomach, lower back/growing
dark or blue-colored skin on your hands/feet,
nausea,
vomiting,
loss of appetite,
unusual tiredness,
bleeding that will not stop,
nosebleed,
blood in the urine or stool,
black or tarry stools,
coughing up blood or vomit that looks like the coffee grounds,
skin changes where the medication was injected,
fever,
chills,
runny nose,
watery eyes,
easy bruising,
purple or red spots under your skin,
sudden numbness or weakness,
problems with vision or speech, and
swelling or redness in an arm or leg
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A tennis player serves a ball horizontally at a height h = 2.7 m a distance d = 14.9 m from the net. what minimum speed must the ball be served so as to clear the 1.08 m tall net?
The minimum speed the ball must be served so as to clear the net is 25.69 m / s
We know that,
Speed = Distance / Time
In order to calculate the time, we can use one of the equations of motion,
y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]
where,
y = Initial height
[tex]y_{0}[/tex] = Final height
[tex]v_{0}[/tex] = Initial velocity
a = Acceleration due to gravity
t = Time
Given that,
y = 2.7 m
[tex]y_{0}[/tex] = 1.08 m
[tex]v_{0}[/tex] = 0
a = -9.81 m / [tex]s^{2}[/tex] (Due to gravity)
Distance = 14.9 m
y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]
2.7 = 1.08 + 0 + 1/2 * ( -9.81 ) * [tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 1.62 / ( - 4.9 ) = 0.33
t = 0.58 s
Speed = 14.9 / 0.58
Speed = 25.69 m / s
Velocity (speed) is the rate of change of distance with respect to time. It is denoted as V.
Therefore, the minimum speed the ball must be served so as to clear the net is 25.69 m / s
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A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is __
A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is less
What is velocity?Velocity is defined as a vector measurement of the rate and the direction of motion, simply, velocity is the speed at which something moves in one direction. The speed of a car traveling north on a major freeway and the speed a rocket launching into the space can both be measured using velocity.
The SI units for the velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time, and the other units include miles per hour (mph), kilometers per hour (k/h), and kilometers per second (km/s).
At highest point the velocity of football is 0 as it is neither moving up or moving down for a moment so it is less than initial velocity. Magnitude of initial and final velocity is maximum in projectile motion.
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A boat is stationary at 12m away from a dock. The boat then begins to move toward the dock with an acceleration of 5.0m/s^2
How long will it take the boat to reach the dock?
The following question can be solved using formulas of Motion on one dimension as there is no updrift or downdrift
We will use the formula
[tex]v^{2}-u^2=2aS[/tex]
where v is the final velocity
u is the initial velocity
a is the acceleration of the boat
s is the distance in meters
u=0 as the initially the boat is at rest
S=12meter
acceleration is 5 m/s^2
[tex]v^{2}=[/tex]2 x 5 x 12
v^2=120
therefore final velocity is [tex]\sqrt{120}[/tex]=10.95m/s
Now using the formula v=u+at
v=[tex]\sqrt{120}[/tex]
[tex]\sqrt{120}[/tex]=0+5 x t
t= [tex]\sqrt{ 120[/tex]/5
t = 2.20 seconds
t is the time taken
Hence the boat takes 2.20seconds
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When you push against a wall with your fingers, they bend. Identify the force or forces involved.
In the worst case, a linear search locates a value in an array of length n in ____ steps.
In the worst case, a linear search locates a value in an array of length n in O(N) steps.
Briefing :The best case scenario for a linear search on a list of n items is when the goal value is equal to the very first item on the list. In these circumstances, just one comparison is required. The best case performance is therefore O(1). A linear search in linear time can perform a maximum of n comparisons, where n is the length of the list. As a result, O represents the computing complexity of linear search (N). When the search item occurs at the top of the list and is O(1), the Linear Search algorithm performs at its best. The worst-case scenario is when the search result does not appear at all or appears at the bottom of the list. The worst case scenario is O(N) because this would require N comparisons.Learn more about the Linear search algorithm with the help of the given link:
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The patagonia region of chile and argentina features a large, elongated glacier approximately 90 km (56 mi) wide and 360 km (224 mi) long. this is an example of a(n):_________
The Patagonia region of Chile and Argentina features a large, elongated glacier approximately 90 km (56 mi) wide and 360 km (224 mi) long. this is an example of a(n): Ice field
The Patagonia region of Chile and Argentina is characterized by the largest ice fields in South America.
An ice field is a large mass of ice that covers part of the land.
What is Patagonia?The Patagonia is an area located in South America which is shared by Chile and Argentina.
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More solar energy reaches the equatorial regions than the polar regions because the equatorial regions _______
More solar energy reaches the equatorial regions than the polar regions, because of spherical shape of the Earth, sunlight falls on different parts at different angles. The sun rays falls on the equator directly and focused therefore, the regions are hotter and warmer. The polar regions receive diffused sun rays, so that the areas there are colder.
The type of energy generated by the sun is known as the solar energy. Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun's core and fuse to create a helium atom.
The power of Sun and Stars can be assumed by the process of nuclear fusion reaction. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei. The leftover mass becomes energy.
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A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information. median = 202.1
a) Yes, there is one outlier (lower).
b) The boxplot can be seen with the image as attached below.
Step-by-step explanation:Looking at the distribution of the lower/smallest observation, we can see that there is a value in the lower/smallest that is very far from others. See the attached diagram of the boxplot to understand it better.
The median is the line in the middle of the boxplot.
The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile, and the upper box line (just above the median) is 3rd quartile.
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Complete Question
A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information.
median = 202.1
lower fourth= 196.0
upper fourth= 216.8
three smallest observation 125.8 188.1 193.7
three largest observations 221.3 230.5 250.2
a. Are there any outliers in the sample? Any extreme outliers?
b. Construct a boxplot that shows outliers, and comment on any interesting features
B. lactic acid is produced and builds up in muscles during intense exercise and causes painful, sore muscles. what is the ph of 0.6 mm lactic acid, pka = 3.86?
When there is a high energy demand, frequent variations in the energy demand, and a deficiency in oxygen, lactic acid is created and builds up in the muscle.
Muscle pH drops to between 6.4 and 6.6 during prolonged, severe exercise. The high H+ ion concentration does not seem to be the main factor limiting force creation; instead, the PCr level appears to be more important. High H+ concentrations can inhibit phosphofructokinase, although the inhibition can be effectively overcome by increases in the activators AMP and ADP. High H+ concentrations reduce PCr by directly affecting the equilibrium of creatine kinase and indirectly by raising ADP.
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Assume the following beam cross section experiences a vertical shear force. what is the value of t (in = vq/it) for determining the largest horizontal shear stress?
2 in is the value of t (in τ = VQ/It) for determining the maximum horizontal shear stress.
Horizontal shearThe neutral axis of the beam is (typically) where the horizontal shear stress is at its highest. This contrasts with the behavior of the bending stress, which is zero at the neutral axis and highest at the other edge of the beam. Horizontal shear stress, for instance.How is horizontal shear discovered?Txy = Tyx causes the beam's horizontal shear force, which tends to cause the fibers to slide.
How is shear stress determined?Recall the equation = VQ/It, which is used to determine shear stresses caused by bending. The internal shear force, V, was just taken directly from the shear diagram.learn more about horizontal shear stress here
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How many coulombs of charge enter a 1.4 cm length of the axon during this process?
Charge enter a length of the axon during this process is 1.2544C
CHARGE : It is a physical property of matter that causes it to experience a first, then it placed in between the electromagnetic field.
During the inflow part of a cycle in the neurons approximately
5.6× 10¹¹Na ions per meter,
each with a charge of +e enter the axon.
Therefore, ions will be (5.6 ×10¹¹) × (1.4/100)
= 7.84 × 10⁸ Na ions
Charge of an electron is 1.6 × 10⁻¹⁹Coulombs
Thus; 7.84 ×10⁸ ×1.6 ×10⁻¹⁹
= 1.2544×10⁻¹⁰ coulombs
Charge enter a length of the axon during this process is 1.2544C
The given question is incomplete the complete question is
How many coulombs of charge enter a 1.4 cm length of the axon during this process?
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Find an equation of the sphere with center s23, 2, 5d and radius 4. what is the intersection of this sphere with the yz-plane? stewart, james. calculus (page 837). cengage learning. kindle edition.
The intersection of the sphere with the yz- plane will be (y -z)² + (z- 5)² =7
A sphere is can be define as , a geometrical object that has a three-dimensional analogue to a two-dimensional circle. In a very simple word, i.e. a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.
We are given that ,
The center of sphere = (h, k, l) = (-3,2,5)
The radius of sphere = (r) = 4
Then the formula of the equation of sphere with radius r and center (h, k, l) is given as,
(x- h)² +(y - k)² + ( z -l)² = r²
So that putting the value of center of sphere (h, k, l) and radius (r) in above equation then we get,
(x- (-3))² +(y - 2)² + ( z -5)² = 4²
(x +3 )² +( y - 2)² + ( z -5)² = 16
Therefore, we can write the equation of intersection of the sphere with the yz- plane and putting (x = 0) in above equation then,
(0 +3 )² +( y - 2)² + ( z -5)² = 16
( y - 2)² + ( z -5)² = 16 - 9
( y - 2)² + ( z -5)² = 7
The intersection of the sphere with the yz- plane is, (y -z)² + (z- 5)² =7
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