If you look at courage and if you look at the brain, there is one particular brain structure that plays a very important role when it comes to courage and your own performance. This part of the brain is called the amygdala. The amygdala is a brain structure that is very small, and we have two of them, one of the left side of the brain, one on the right side of the brain. They’re very small and look like an almond. Amygdala is also the Latin word for almond. Even though they are small, they amygdala is also extremely powerful. It plays a very important role in our survival. Whenever there is a real danger outside, it will trigger a fight, flight or freeze response, so you will fight danger, run away, or just be blocked in your own emotions, you will freeze, perhaps you will hide. The amygdala is very important for our survival and for many emotions in general, but in many situations, the amygdala will also become active when there is no real danger, for example, standing on stage and holding a presentation, leading a difficult conversation. These are two examples where there’s no real danger, but nevertheless, the amygdala can be triggered and cause this feeling of nervousness and anxiety. It’s these feelings of nervousness, anxiety or insecurity that will also block us in our potential to hold a presentation or to lead a good conversation.
How does the direction of motion of the bar magnet affect the direction of deflection of the galvanometer needle?
If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed.
What is galvanometer?An electromechanical device used to measure electric current is a galvanometer. Early galvanometers were not calibrated, but later models, known as ammeters, were, and could measure current flow more precisely.
If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed. This suggests that an emf is produced anytime the magnetic flux connected to a coil changes.
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When a body moves in a simple harmonic motion, its acceleration at the ends of its path is:____.
a. zero
b. less than at equilibrium
c. more than g
d. maximum
When a body moves in a simple harmonic motion, its acceleration at the ends of its path is: zero. So, the correct option is (a).
Simple harmonic motion is the motion of a particle moving in a straight line with an acceleration that is always directed towards a fixed point on the line and whose magnitude is proportional to the distance from the fixed point.
There is no restoring force once the mass has reached equilibrium. Therefore, there is no acceleration, but the mass is travelling at its fastest rate. The mass will continue past the equilibrium position due to its inertia, stretching the string.
Therefore, when a body moves in a simple harmonic motion, its acceleration at the ends of its path is: zero. So, the correct option is (a).
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An electron moves in an electric field. Does it move toward regions of higher potential or lower potential? explain.
The electric fields is always directed from higher potential to the lower potential.
An electron moves in an electric field. Does it move toward regions of higher potential or lower potential?
The electric fields always aiming from the region of higher potential to the region of lower potential. So the force of electrostatic and the direction of the travel of electrons will be always from lower potential to the region of higher potential.
An electric field is defined as the physical field which covers the electrically charged particles and also they can apply force on all other charged particles.
So we can conclude that the electric fields is always directed from higher potential to the lower potential.
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a projectile is launched from level ground with an initial speed v0 at an angle θ with the horizontal. if air resistance is negligible, how long will the projectile remain in the air?
The time of flight of the launched particle will be 2v₀ sinθ / g.
What is kinematics?The study of motion without considering the mass and the cause of the motion.
A projectile is launched from level ground with an initial speed v₀ at an angle θ with the horizontal. If air resistance is negligible.
Then the time of flight of the launched particle will be given as,
Determine how long it requires the projectile to reach its highest point in order to calculate the flight duration. Just twice as long as the maximum altitude is the travel time.
[tex]\rm v_y = v_{o_y} + a_y t[/tex]
At maximum height, [tex]\rm v_y = 0[/tex].
The time to reach maximum height is given as
[tex]\rm t_{1/2} = - \dfrac{v_{o_y} }{ a_y}[/tex]
The time of flight is given as,
[tex]\rm t = 2 \times t_{1/2} = - \dfrac{2v_{o_y}}{ a_y}[/tex]
Substituting in [tex]\rm v_{o_y} = v_o \ \sin(\theta ) \ and \ a_y = -g[/tex], then we have
The time of flight of the launched particle will be 2v₀ sinθ / g.
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a runner starts from rest and attains a speed of 8.00 ft/s after 2.00 s. what is the runner’s acceleration?
The runner who starts from rest and attains a speed of 8.00 ft/s, after 2.00 s his acceleration would be 4ft/s^2.
Concept of acceleration.An object’s velocity can change depending on whether that object moves faster or slower or in a different direction.
A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a stop sign.
Who first proposed the idea of acceleration?Sir Isaac Newton (1642–1727) defined acceleration in his second law of motion as the relationship between the force acting on an object and its mass: a = f/m.
The meter per second per second square (m/s2) is the unit of acceleration. The newton is the force that causes an acceleration of one newton per kilograms of mass when it acts on that mass.
u=0 (initial speed)
v= 8 ft/sec (speed of the runner)
t = 2s
According to equation of motion,
a = (v-u)/ t = 8/2
a= 4ft/s^2
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the time varying components of capacitance and inductance results in reactive power elements that can decrease power transfer.
The capacitance of the capacitor varies with time. i'm doubtful if this RC circuit should be called a linear circuit.
Linear circuit :
According to the definition, a linear circuit obeys principle of superposition . The RC circuit with variable capacitor still obeys principle of superposition at any instant of time.
On the opposite hand, traditional analysis techniques for linear circuits might not be applicable for the analysis of this RC circuit.
A device or system is said to be time-invariant if and only if shifting in time its zero-state response by some constant always results in only shifting in time its zero-state response by that same constant, valid for all time, all possible inputs, and every one possible time shifts.
Elaboration of time variant :If the capacitance varies only with time, then that's a linear time-variant capacitor. If the resistance is constant or may be a function of time only, then that's a linear time-invariant or linear time-variant resistor respectively. therefore the RC network is linear time-variant. (It is time-variant due to the capacitor, whether the resistor is time-invariant or time-variant.)
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A 1kg block sits 75m from the left. if the board is 4kg, where should the pivot point be placed to balance?
The pivot point should be placed 15m right from the 4kg board and 60m left from 1kg block to be balanced.
ExplanationLet d block be x and d board be y
so, x + y = 75 ...1
This problem needs to add torques about the pivot point. In order to be balanced, the torque must be equal on each side of the pivot point.
T block =T board
Use the equation for torque in this equation.
(F block)(d block )=(F board )(d board )
The force of each object will be equal to the force of gravity.
(m block )g(d block )=(m board )g(d board )
Gravity is cancelled from each side of the equation. for simplicity.
(m block )(d block )=(m board )(d board )
⇒ 1 kg × x = 4kg × y
⇒ 1/4 = x/y
⇒ x = 4y ...2
Now applying eq 2 in eq 1 we get
⇒ 4y + y = 75
⇒ 5y = 75
⇒ y = 75/5
= 15
Thus, the pivot point should be placed 15 m right from the 4kg board and 60 m left from 1kg block to be balanced.
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a cylindrical resistor element on a circuit board dissipates 1.2 w of powera cylindrical resistor element on a circuit board dissipates 1.2 w of power
The amount of heat this resistor gives in 24 hours and heat fiux q is mathematically given as
Qd=4340.589 W/m^2
What is the amount of heat this resistor gives in 24 hours and heat fiux q?Generally, the equation for Qt is mathematically given asQ_t amp;=Q*time
amp;=1.2 *J*(24*3600)
Q_damp=03680J
Q_damp;=103.680
[tex]A_s &=\frac{\pi}{4} d^2 \times 2+\pi d L \\\\A &=\frac{\pi}{4} \times 0.4^2 \times 2+\pi \times 0.4 \times 2[/tex]
A amp;=2.764601 cm^2
[tex]\\\q &=\frac{1.2 \times 104^{+}}{2.764601}=4340.589(\mathrm{~W} / \mathrm{m})[/tex]
qamp;=4340.589mm^2
In conclusion,
Qd=103.680Jq
Qd=4340.589 W/m^2
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how is the rating of the branch-circuit protective device affected when the conductors used are of a larger size than called for by the code?
The rating of the branch-circuit protective device is affected when the conductors used are of a larger size than called for by the code of up the amps and up the AWG.
Branch circuit protection devices are also known as UL 489 circuit breakers.
These devices are tasked to provide protection to all sorts of circuit wiring by keeping in control the amps and AWG.
In addition to this, they also help prevent fire and electric shocks and are also suitable for electrical isolation.
During the maintenance period, they limit the flow of current and also serve as means to cut off the electricity supply.
If large-sized conductors are used then the performance of the branch-circuit protective device may get affected.
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a steam power plant with a power output of 150 mw consumes coal at a rate of 60 tons/h. if the heating value of the coal is 30,000 kj/k
The overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.
What is efficiency?Efficiency is the capacity to achieve something or get the desired outcome without wasting resources, time, money, energy, or effort.
It is given that:
A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour.
As we know,
Thermal efficiency Te = (W/Q)x100
m(coal) = 60 tons/h = 50/3 kg/s
The heating value of the coal is 30,000 kj/k = 30 MJ/kg
Q = (50/3)30
Q = 500 MW
Te = (150/500)100
Te = 30%
Thus, the overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.
The question is incomplete.
The complete question is:
A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour. If the heating value of coal is 30,000 KJ/kg, determine the overall efficiency (in %) of the plant.
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If an object’s velocity is changing direction but not magnitude, what direction is the acceleration pointing?.
Answer:
a = (v2 - v1) / t
If the velocity is changing but not the magnitude of speed then
the change in velocity is directed perpendicular to the current velocity of the object
(An example is an object undergoing uniform circular motion where the speed of the object around the circle is constant but the change in velocity is always directed toward the center of rotation)
How much energy is contained in 1 mol of each? a. x-ray photons with a wavelength of 0.135 nm b. g-ray photons with a wavelength of 2.15 * 10-5 nm
The x ray photons have 885234000 J of energy, and the g-ray photons have an energy of 5.57 x 10^12 J in a total of 1 mol of each of these.
What is wavelength?The distance calculated over which a periodic wave's shape repeats itself is known as the wavelength in physics. This wavelength can be described as the space between waves' crests, particularly between electromagnetic or sound wave points.
The distance that any kind of a wave travels between its crests or troughs, it is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave).
Thus, the process can be defined as:Here we have to use the formula
E= hc/λ
To calculate energy of x-ray photons, we have
a) E = [6.626 x 10^(-34) x 3 x 10^8] / 0.135 x 10^(-9)
⇒ E= 1.47 x 10^(-15) J per photon
Using Avogadro's number, the energy calculated per mole can be calculated as
E= 1 mol x 6.022 x 10^23 x 1.47 x 10^-15
E= 885234000 J
Then for the energy of g-ray photons, can be calculated as
b) E = [6.626 x 10^(-34) x 3 x 10^8] / 2.15 x 10^(-14)
E= 9.25 x 10^-12 J per photon
Then using Avogadro's number, we have
E = 1 mol x 6.022 x 10^23 x 9.25 x 10^-12
E = 5.57 x 10^12 J
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The sound intensity a distance d1 = 15.0 m from a chain saw is 0.280 w/m2. what is the sound intensity a distance d2 = 32.0 m from the chain saw?
The sound intensity [tex]I_1[/tex] a distance [tex]d_1[/tex] = 15.0 m from a chain saw is 0.280 [tex]W/m^2[/tex]The sound intensity [tex]I_2[/tex] a distance [tex]d_2[/tex] = 32.0 m from the chain saw will be [tex]0.0615W/m^2[/tex].
How to find the sound intensity at the given distance?
To find the sound intensity, following formula is used:
[tex]\frac{I_1}{I_2} =\frac{d_2^2}{d_1^2}[/tex]
We will substitute the numerical values, we get:
[tex]\frac{0.280}{I_2} =\frac{32^2}{15^2} \\I_2=\frac{15^2\times0.280}{32^2} =0.0615W/m^2[/tex]
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Which 'advanced' material changes shape with an applied voltage?
a. piezoelectric
b. magnetostrictive
c. shape-memory alloy
d. magnetorheological
The 'advanced' material that changes shape with an applied voltage is: a. piezoelectric
A piezoelectric material has the ability to transform electrical energy into mechanical energy and mechanical energy into electrical energy and due to this can change its shape in response to applied voltage.
The piezoelectric materials are natural or synthetic crystals that do not have a defined center of symmetry. Some piezoelectric materials are found naturally as some crystals, ceramics, DNA, enamel and others.
These materials are classified into two groups:
Piezoelectric nature: quartz, tourmaline, among others.Ferroelectrics: lithium nitrate, berlinite, in the form of monocrystalline materials and ceramics or polar polymers, which when subjected to polarization obtain piezoelectric characteristics.What is voltage?Voltage is the quantity that expresses the amount of electricity that exists in an electrical circuit.
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At the instant a current of 0.20 a is flowing through a coil of wire, the energy stored in its magnetic field is 6.0 x 10-3 j. what is the self-inductance of the coil?
At the instant a current of 0.20 a is flowing through a coil of wire, the energy stored in its magnetic field is 6.0 x 10-3 j. The self inductance of the coil will be 0.30 H.
What is self inductance?
An example of electromagnetic induction is the property of self-inductance. The definition of self inductance is something like induction of a voltage in a wire that carries current when the current in the wire is changing. In the instance of self-inductance, the circuit itself induces a voltage through the magnetic field produced by a changing current. The voltage is thus self-induced.
Given,
Current (I) = 0.20 A
Energy (U)= 6.0 x 10⁻³
By the equation,
U = 1/2 (LI²)
L = 2U/I²
Putting the values given in the above equation,
L = 2(6.0 x 10⁻³) / (0.20)²
L = 0.30
Hence, the self inductance in the coil is 0.30 H.
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student measured the flow time of 10 g of honey at different
temperatures and graphed the data.
What is the independent variable shown on this graph?
O
The independent variable is the amount of honey,
which is not shown on the graph.
O The flow time is the independent variable.
O The tomperature is the independent variable.
Answer:
what graph?
Explanation:
please give the proper information
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound. The test get progressively faster as it continues until the student reaches their max lap score.
The PACER Test score is combined in the FitnessGram software with scores for muscular strength, endurance, flexibility and body composition to determine whether a student is in the Healthy Fitness Zone™ or the Needs Improvement Zone™.
Two plates of area 377 cm2377 cm2 each are separated by a distance 11.5 cm.11.5 cm. calculate the capacitance of the capacitor in microfarads.
Answer:
The capacitance of the capacitor with two plates of area 377 cm2377 cm2 each separated by a distance 11.5 cm.11.5 cm in microfarads is 2.90 * 10-16 µF
Explanation:
Capacitance is proportional to the physical size of the plates as indicated by the plate area, A, and inversely proportional to the distance between the plates. The plate separation is denoted as d. Capacitance is also related to the dielectric constant. Farads are used to express it.
Using the formula: C=εoA/d
Where C is capacitance
A is Area
d is distance
εo is the permittivity of free space
εo = 8.854 * 10-12 F/m
A= 377 cm2 =3.77m
d = 11.5 cm2= 0.115m
C= 8.854 * 10-12*3.77m2 /0.115 m2
C=290.26*10-12 F
C= 2.90 * 10-16 µF
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5. George walks to a friend's house. He walks 750 meters North, then realizes he walked too far.
turns around and walks 250 meters South. The entire walk takes him 13 seconds. What is his speed
per second?
1000m S=76.92m/s
5=735
d=1000m
₁7=135
5=22
S=76.92m/s
what was George's velocity in meters per second? (hint: draw a picture to find his
displacement)
DPERC
quests. 4719
12
Answer:
Average speed: approximately [tex]76.9\; {\rm m\cdot s^{-1}}[/tex].
Average velocity: approximately [tex]38.5\; {\rm m \cdot s^{-1}}[/tex] (to the north.)
Explanation:
Consider an object that travelled along a certain path. Distance travelled would be equal to the length of the entire path.
In contrast, the magnitude of displacement is equal to distance between where the object started and where it stopped.
In this question, the path George took required him to travel [tex]750\; {\rm m} + 250\; {\rm m} = 1000\; {\rm m}[/tex] in total. Hence, the distance George travelled would be [tex]1000\; {\rm m}[/tex]. However, since George stopped at a point [tex](750\; {\rm m} - 250\; {\rm m}) = 500\; {\rm m}[/tex] to the north of where he started, his displacement would be only [tex]500\; {\rm m}[/tex] to the north.
Divide total distance by total time to find the average speed.
Divide total displacement by total time to find average velocity.
The total time of travel in this question is [tex]13\; {\rm s}[/tex].. Therefore:
[tex]\begin{aligned}\text{average speed} &= \frac{\text{total distance}}{\text{total time}} \\ &= \frac{1000\; {\rm m}}{13\; {\rm s}} \\ &\approx 76.9\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
[tex]\begin{aligned}\text{average velocity} &= \frac{\text{total displacement}}{\text{total time}} \\ &= \frac{500\; {\rm m}}{13\; {\rm s}} && \genfrac{}{}{0px}{}{(\text{to the north})}{}\\ &\approx 38.5\; {\rm m\cdot s^{-1}} && (\text{to the north})\end{aligned}[/tex].
In a loop in a closed circuit, the sum of the currents entering a junction equals the sum of the currents leaving a junction because?
Answer:
The sum of the currents entering a junction equals the sum of the currents leaving a junction because no charge is lost.
Explanation:
The law of conservation of charge as proposed by Kirchoff ensures that the sum of currents entering and leaving a circuit are the same. Kirchoff's law asserts that the total current entering a circuit's junction is precisely equal to the total current exiting the same junction for a parallel line. Because no charge is lost, the currents have nowhere else to go. This implies that the algebraic total of ALL currents entering and exiting a junction must equal zero. Kirchoff’s first law is alternatively referred to as the law of conservation of charge.
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The position of a particle undergoing simple harmonic motion is given by: x = 2 cos (50t). what is its maximum velocity?
The position of a particle undergoing simple harmonic motion is given by:
x = 2 cos (50t).
The maximum velocity is 100 m/s.
What is meant by Simple Harmonic Motion, refer to:
Simple harmonic motion is described as an oscillatory motion in which the acceleration of the particle is directly proportional to the displacement from the mean position. It is a special case of oscillatory motion.All the Simple Harmonic Motions are oscillatory and also periodic, but not all oscillatory motions are SHM.To learn more about Simple harmonic motion, refer to:
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a.) What is its instantaneous velocity at t=10.0s?
b.) What is its instantaneous velocity at t=30.0s?
c.) What is its average velocity between t=0 and t=5.0s?
d.) What is its average velocity between t=25.0s and t=30.0s?
e.) What is its average velocity between t=40.0s and t=50.0s?
(a) Its instantaneous velocity at t = 10.0s is 0.4m/s.
(b) Its instantaneous velocity at t = 30.0s is 0.5 m/s.
(c) Its average velocity between t = 0 and t=5.0s is 0.6 m/s.
(d) Its average velocity between t = 25.0s and t=30.0s is 1.4 m/s.
(e) Its average velocity between t=40.0s and t=50.0s is -1 m/s.
What is instantaneous velocity?
Instantaneous velocity is defined as the velocity of an object under motion at a specific point of time.
instantaneous velocity at t=10.0sat time, t = 10 seconds, x = 4 m
v = 4 m / 10 s = 0.4 m/s
instantaneous velocity at t=30.0sat time, t = 30 seconds, x = 15 m
v = 15 m / 30 s = 0.5 m/s
average velocity between t=0 and t=5.0sv(avg) = Δx / Δt
v(avg) = (3 - 0)/(5 - 0) = 0.6 m/s
average velocity between t=25.0s and t=30.0sv(avg) = Δx / Δt
v(avg) = (15 - 8)/(30 - 25) = 1.4 m/s
average velocity between t = 40.0s and t = 50.0sv(avg) = Δx / Δt
v(avg) = (10 - 20)/(50 - 40) = -1 m/s
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Two vectors of fixed magnitude, but variable direction, are added. the result has a minimum magnitude of 0 and a maximum magnitude of 200. the magnitudes of these two vectors could be?
The magnitudes of these two vectors could be the same which could be 100 for each.
What is a Vector Quantity ?A vector quantity has both magnitude and direction. Some of the examples of vectors quantities are;
ForceVelocityAccelerationMomentumE.T.CGiven that two vectors of fixed magnitude, but variable direction, are added. the result has a minimum magnitude of 0 and a maximum magnitude of 200.
When the two vectors are parallel and move opposite direction to each other, the resultant will be zero. That is,
Resultant vector = 100 - 100 = 0
But when the two vectors are parallel and move in the same direction to each other, the resultant will be 200. That is,
Resultant vector = 100 + 100 = 200
Therefore, the magnitudes of these two vectors could be the same which could be 100 for each.
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A tennis player tosses a tennis ball straight up and then catches it after 1.60 s at the same height as the point of release. (a) what is the acceleration of the ball while it is in flight?
Answer:
The acceleration of the ball (excluding air resistance) is
9.80 m/s^2 in the downward direction.
That's all that can be inferred from the problem as it is stated.
Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. (a) what are the magnitude and direction of the electric field?
When Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. Then magnitude of the electric field is E= 3.4893 N/C.
What is electric field?The electric force per unit charge is referred to as the "electric field." It is thought that the field's direction corresponds to the force it would apply to a positive test charge.
The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units.
Around a charged object, an electric field is produced that affects the surrounding environment.
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Help me with this pls I will make brainlest
Answer:
Help with what??
Explanation:
Explanation:
there is no question to answer..
the star thuban in draco group of answer choices lies as the center of the precession cycle. lies halfway between the bowls of the big and little dippers. is used to locate the vernal equinox. is brighter than polaris. was an excellent north pole star in 3,000 bc.
The correct option is option (D) Was an excellent north pole star in 3,000 BC.
About the Thuban StarDraco’s northernmost constellationThuban (/jubaen/), also known as Alpha Draconis or Draconis, is a binary star system. It is a faint star in the Northern Hemisphere’s night sky, but because it served as the north pole star from the fourth to the second millennium BC, it is noteworthy historically. Thuban is the only member of Johann Bayer’s secondary magnitude class in the constellation Draco, despite the fact that at its current apparent magnitude of 3.65, it is 3.7 times fainter than Gamma Draconis (formerly called Eltanin), the brightest star in the constellation, which Bayer placed in his tertiae magnitude class despite its current apparent magnitude of 2.24.Thuban’s positioning regard to the Big Dipper (also known as the Plough) asterism of Ursa Major makes it very simple to see in the night sky under ideal viewing conditions. The two inner stars, Phecda and Megrez, point to Thuban, which is located only 15 degrees of arc from Megrez.Thuban is not bright enough to be seen in locations with significant light pollution.
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the planet earth orbits the sun within a period of one year. in this problem, you may assume the radius
The correct answer is 29883.3m/s
The pace at w.hich an object's position changes in relation to a frame of reference is known as its velocity, which is a time-dependent quantity. The speed and direction of an object's motion are its velocity. The rate at which an object's velocity changes in relation to time is defined as its acceleration.
The following kinematic equation can be used to connect velocity and acceleration:
v_1=v_0+at
Where v_1 denotes the ultimate velocity, v_0 denotes the starting velocity, a denotes the acceleration, and t is the passing of time.
Calculate the length of the Earth's orbit around the Sun to get started. For this issue, a circle rather than an ellipse can be used to represent the Earth's orbit.
Circumference = C=πD=2πR
=2π(1.5×10km)
=9.424π×10^8
Do a dimensional analysis to convert the speed of the Earth around the Sun from miles per hour to metres per second:
s_earth= 9.424π×10^8/1year × (1year×100m×1day×1hour×1min)/(1km×365days×24hours×3600seconds)
=29883.3m/s
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Data can be arranged in visual displays called blank to make identifying trends easier
Data can be displayed as graphs, which are graphic representations, to help identify trends more quickly.
A graph is a visual representation of the relationship between two variables, typically two variables that are measured along an axis that is perpendicular to the other two axes. A graph, in a nutshell, is a visual representation of data for easy comprehension. Graphs are commonly used to show scientific data so that readers may immediately see trends. Graphs are often used in the social sciences to visually convey important information. A network's connection between lines and points is represented mathematically by a graph. The points and arcs that connect them make form a graph.
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explain the components of vector. if the magnitude a and direction θ of a two-d vector a are given, how do you calculate the components? give one sample. chegg
In a two-d coordinate system, every vector can be broken down and considered as the x-component and y-component.
The sampleA vector quantity has two characteristics, a magnitude and a direction. And these two characteristics are accompanied by two components.
If the vector is V, then these components can be represented as vx and vy.
These vx and vy are the parts of the vector that are generated along the axes of the coordinate plane.
Any vector with a two-dimensional direction can be conceived of as having two distinct parts. A single vector's component specifies how that vector acts in a certain direction.
If the magnitude of the vector is given as a and the direction is given as [tex]\theta[/tex] of a two-dimensional vector, then the components of the vector can be found out using the following formulas:
vx=vcosθ for the x component
and
vy=vsinθ for the y component
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An analytical chemist is titrating of a solution of propylamine with a solution of . the of propylamine is . calculate the ph of the base solution after the chemist has added of the solution to it.
After the equivalence point, pH of the base solution is 1.52.
What is equivalence point?
The number of moles of base = 88.4 x 0.2700 = 23.868
The number of moles of acid = 0.4300 x 66.3 = 28.509
After the equivalence point,
Net moles of acid = 28.509 - 23.868
= 4.641mol
Total vol. of solution = 88.4 + 66.3 = 154.7mL
Conc. of Acid = moles/volume = 4.641/154.7 = 0.03M
pH = [tex]-log[H^{+} ][/tex] = -Log[0.03]
pH = 1.52
Hence, the pH of the base solution is 1.52.
The titration's equivalence point occurs when the amount of titrant applied is just sufficient to totally neutralize the analyte solution. In an acid-base titration, the solution only comprises salt and water at the equivalence point, where moles of base equal moles of acid.
The equivalency point for acid-base titrations is extremely simple to identify. To create a titration curve, different quantities of titrant are added, and then the pH of the solution is measured using a pH meter. Then, the curve's equivalence point can be determined.
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