A and B are orthogonal vectors, so projab=0 and projab = b
If the vectors a and b are present in, then b is projected onto an as
[tex]proj_{a} b[/tex] = [tex]\frac{a.b}{a^{2} }[/tex]a.
Suppose a and b are orthogonal vectors. Then and
[tex]proj_{a} b[/tex][tex]=\frac{a.b}{a^{2} }=0[/tex]
Suppose a and b are parallel vectors. Then a scaler c exists such that b=cx and
[tex]proj_{a} b=[/tex][tex]=\frac{a.b}{a^{2} }=c\frac{a.b}{a^{2} } a=ca=b[/tex]
[tex]proj_{a} b=0\\proj_{a} b=b[/tex]
What are the orthogonal unit vectors?The term "orthogonal unit vectors" refers to a collection of vectors that are mutually perpendicular to one another, that is, they intersect at an angle of 90° with a magnitude of one unit. Since Cos90 is zero, the dot product of an orthogonal vector is always zero.
Two orthogonal vectors have a zero dot product. The zero dot product of the two column matrices that represent them. It only matters in relation to orientation. In the case of orthogonal vectors, the dot product is zero.
To learn more about orthogonal unit vectors, visit:
https://brainly.com/question/17278431
#SPJ4
What two principal factors affect the force of air resistance on a falling object?.
The two principal factors that affect the force of air resistance on a falling object are frontal area and speed, because the force mostly depends on these two factors.
What is air resistance?When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is named air resistance.
This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.
Simply state, the two most common factors that have an impact on the degree of air resistance can be said out as the speed of the object and then the cross-sectional are of the object.
Because the more the speed, the more the air resistance and so is the case with the cross-sectional area.
To know more about air resistance, visit:
https://brainly.com/question/25748718
#SPJ4
The wire loops in a simple dc motor are wound around an iron core called an armature. constant rotation of the armature provides ________ to operate mechanical devices.
Mechanical power is being provided for constant rotation of the armature in operating mechanical devices.
The armature has two functions. The first is to transport current across the field, resulting in shaft torque in a rotating machine or force in a linear machine. The second function is to create electromotive force (EMF).
The relative motion of the armature and the field produces an electromotive force in the armature. When employed as a motor, the EMF opposes the armature current, and the armature transforms electrical power to mechanical power in the form of torque and transfers it via the shaft. The armature EMF drives the armature current, and the shaft movement is converted to electrical power when the machine is utilized as a generator.
To learn more about how an armature and its windings works. Click on, https://brainly.com/question/26014630
#SPJ4
If the concentration of the product of a reaction goes from 0.55 m to 0.85 m over 6 minutes, what is the average rate of reaction over that time period in mmin?
Answer: 0.05 M/min
Explanation: (0.85 - 0.55)/ 6 mins
Describe a situation in which you can accelerate even though your speed doesn’t change.
Uniform circular motion is an example of this question.
Uniform motion in a circular path defines a uniform circular motion.For a circular motion, the essential condition to be fulfilled is having a centripetal force directed towards the centre of the locus.If not that kind of motion defines a uniform linear motion.According to Newton's second law, when there is a net force there exists an acceleration in the direction of the net force.This acceleration in a circular motion is called the "centripetal acceleration".Since the motion is uniform, its speed remains constant having only the direction of the instantaneous speed changing.Therefore, in that type of motion, there is the situation of no speed change with acceleration.
#SPJ4
A tie fighter is traveling around naboo with a velocity of 607 m/s. the tie fighter slows down at a rate of -7.5m/s^2 for 14.6 s. how far did the tie fighter travel while slowing?
The Total Distance covered by the train while slowing down is 8062.85 meters.
In the given situation,
We can find the distance covered by the tie fighter from the formula :
=> [tex]S = ut + \frac{1}{2}at^{2}[/tex]
Here S = Distance, u = Initial Velocity, t = Time taken, a = Acceleration
It is given that, u = 607m/s, t = 14.6s, a = -7.5 m/s^2
The negative Acceleration means it is a case of Slowing down.
Putting values into the equation,
=> S = (607)*(14.6) + (1/2)*(-7.5)*(14.6)^2
=> S = 8862.2 + (-799.35)
=> S = 8062.85
The total distance traveled while slowing is: 8062.85m
To know more about Equations of Motion, Click here :
https://brainly.com/question/5955789
#SPJ4
State the the first law of motion
Answer:
Explanation:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force
Answer:The first law of motion states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
A ball is thrown upward with a velocity of 19.6. what us its veloicty after 3 sec
Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.
How to find the initial velocity?The acceleration of the ball will be a constant [tex]$9.8 \frac{\mathrm{m}}{\mathrm{s}^2}$[/tex] (downward), regardless of whether the ball exists traveling upward or downward.
The equation that makes this calculation simplest is
[tex]$$V_f=V_i-g(\Delta t)$$[/tex]
where the negative sign has been used to account for the opposite directions of [tex]$V_i$[/tex] and g. After 3 seconds,
[tex]$V_f=19.6-(9.8)(3)=19.6-29.4=-9.8 \frac{m}{s}$$[/tex]
The negative result tells us that the ball is on its way downward by this time (consistent with our choice of a negative value for the downward acceleration of gravity).
Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.
The complete question is:
A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0 s, assuming negligible air resistance?
To learn more about Initial velocity refer to:
https://brainly.com/question/25749514
#SPJ4
If the force of gravity exerted on the sun by the earth is the same as the force exerted by the earth on the sun, why does the earth orbit the sun, and not the other way around?
The gravitational pull accelerates the Earth more since it is less heavy and causes it to move more quickly.
What are the three realities of gravity ?The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. We couldn't survive without gravity. It produces the force that keeps the Earth in orbit around the Sun and keeps us on the surface of the planet. When two objects contact, forces are the mechanism by which energy is transmitted from one to the other, but forces do not themselves contain energy. Since gravity is a force, it only offers one method for objects to exchange energy and change its state.
The weakest force that humans are aware of is gravity.
Weight and gravity are not the same.
Gravity generates waves that move at light speed.
Gravitons, which are massless particles, may carry gravity.
To learn more about gravity , visit
brainly.com/question/12054584
#SPJ4
If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will:__________
The true airspeed will increase and true altitude will increase.
What is true air speed?True airspeed is the airspeed of an aircraft relative to undisturbed air.
It's the aircraft speed relative to the airmass in which it's flying.
How does outside air temperature affect air speed?If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will increase and true altitude will increase.
Thus, the true airspeed will increase and true altitude will increase.
Learn more about true airspeed here: https://brainly.com/question/13257916
#SPJ1
Measuring human proportions on skeletal remains from ancient sites as well as among modern human populations is known as:_________
Measuring human proportions on skeletal remains from ancient sites as well as among modern human populations is known as: anthropometry
The anthropometry is the part of science that studies the proportions of the human body, using non-invasive methods such as the measurement of body mass, height and width.
By using anthropometry it is possible to assess the size, proportions and composition of the human body which gives a measure that reflects the nutritional state of health and allows predicting the performance, health and survival of the individual under analysis.
What is body mass?It is the amount of mass associated with a person's body
Learn more about body mass at: brainly.com/question/10091149
#SPJ4
When leak channels are present, why does a capacitive current flow in the reverse direction after the stimulus current has ended?
Capacitor always needs a resistive path to charge or discharge.
Suppose the capacitor is charging through the path R1 and its current flow direction is also shown as per the figure.
Now suppose fully charged capacitor is disconnected from the circuit, hence there will be no current flow out from the capacitor.
But practically ideal capacitors do not exist, there must have some leakage paths suppose R2 and i2.
Therefore, we can see that i1 was entering to C but i2 was leaving C. Hence Capacitive current flow is in reverse direction.
To know more about capacitive current, visit:
https://brainly.com/question/22706237
#SPJ4
Someone standing at the edge of a cliff throws one ball straight up and another ball straight down at the same initial speed. Neglecting air resistance, which ball has the greatest final velocity upon reaching the ground?.
Both balls have the same velocity upon reaching the ground.
Each ball is given some kinetic energy at the edge of the cliff that takes one upwards and the other down.Since the launching height is the same for both balls each one possesses some potential energy measured relative to the ground down there.Since the air resistance is neglected there would be no resistive forces acting upon each ball that could draw away some of the energy each ball has and therefore, the mechanical energy of each ball is conserved throughout the flight.So, if one writes the energy equation from the edge of the cliff to the ground, it would yield the following result.[tex]\begin{aligned}\\\small K.E +P.E &=\small K.E_1 +P.E_1\\\\\small \frac{mv^2}{2}+mgh&=\small \frac{mV^2}{2}+0\\\\\small V&=\small \sqrt{v^2+2gh}\end{aligned}[/tex]
The magnitude of the final velocity does not depend on the mass of the ball.Therefore, both balls would have the same velocity at the ground as they are given the same initial speed at the same initial height.#SPJ4
if tou were to become a scientist what will be your contribution to the society? why?
Best answer will be mark Brainliest!
Do you feel that Mendeleev should receive the main credit for the structure of today’s periodic table? Defend your position in a paragraph
Answer:
Mendeleev is generally given more credit than Meyer because his table was published first, and because of several key insights that he made regarding the table.
Explanation:
Which element, inductor or capacitor, releases its stored energy before it is removed from the circuit?
Inductor releases its stored energy before it is removed from the circuit.
What is an inductor?A passive two-terminal electrical device known as an inductor, also known as a coil, choke, or reactor, stores energy in a magnetic field as electric current passes through it. Typically, an inductor is made out of insulated wire twisted into a coil. According to Faraday's law of induction, the time-varying magnetic field generates an electromotive force (e.m.f.) (voltage) in the conductor as the current through the coil varies. Lenz's law states that the induced voltage has an opposing polarity (direction) to the change in current that caused it. Inductors so reject any changes in the current flowing through them.Inductance, which is the ratio of voltage to current change rate, is a property of inductors.To know more about inductors, refer:
https://brainly.com/question/4425414
#SPJ4
A ball is thrown directly downward with an initial speed of 7.40 m/s from a height of 30.8 m. after what time interval does it strike the ground?
The time interval in fall motion is 1.86 seconds.
We need to know about fall motion to solve this problem. Gravity has a big role in fall motion. It can be described as
vt = vo + g . t
vt² = vo² + 2 . g . h
h = vo . t + 1/2 . g . t²
where vo is initial speed, vt is final speed, g is the gravitational acceleration (9.8 m/s²), h is height and t is time.
From the question above, we know that:
h = 30.8
vo = 7.4 m/s
Find the final velocity
vt² = vo² + 2 . g . h
vt² = 7.4² + 2 . 9.8 . 30.8
vt² = 54.76 + 603.68
vt² = 658.44
vt = 25.66 m/s
Find the time interval
vt = vo + g . t
25.66 = 7.4 + 9.8t
9.8t = 18.26
t = 1.86 seconds
Find more on fall motion at: https://brainly.com/question/26150087
#SPJ4
Need the answer badddd without this app I’d be screwed
Answer:
B
Explanation:
The first modern personality test was the Woodworth Personal Data Sheet, which was first used in 1919. It was designed to help the United States Army screen out recruits who might be susceptible to shell shock.
so, B is correct
Answer:
The answer is B, I hope this helps.
The common element among measures of speed, rate, and latency is _________. group of answer choices performance frequency time reactivity
The common element among measures of speed, rate, and latency is time.
What is time ?The only science that specifically studies time is physics, but even physicists acknowledge that time is one of the most challenging aspects of our universe to comprehend. However, time is typically seen as an ontologically "fundamental" or primary idea and is not composed of or dependent upon anything else, even in the most advanced and sophisticated physical models.
Time is typically defined by its measurement in the sciences; it is only what a clock says. Since physics in particular frequently requires extremely precise time measurements, time must be regarded as an infinitely divisible linear continuum and not as a quantized quantity (i.e. composed of discrete and indivisible units). Time can now be measured accurately to about 1015 seconds thanks to contemporary atomic time standards like TAI and UTC and extremely precise atomic clocks. This is equivalent to about 1 second of error in roughly 30 million years.
To learn more about the, time visit:
https://brainly.com/question/346088
#SPJ4
How many 1/4 cups are in a cup
Answer:
4
Explanation:
if there are 1/4 cups and you need to fill a cup, you need 4
4 x 1/4 = 4/1
4/1 = 1
Write a short summary of each step
Answer:
I need help ASAP to with this question
Explanation:
Please hurry up with assignment
Sound that starts at its source, then bounces off walls, the ceiling and objects within a room before acting on a microphone or an eardrum is known as:_________
Reflection is the process by which sound leaves its source and travels through a room's objects, walls, and ceiling before reaching a microphone or an eardrum.
What do you mean by ceiling?The room's internal overhead lining The ceiling is very high. material used to cover a room's roof or walls. something akin to a towering canopy, an overhanging shelter, or a starry sky. Using a system of timber joists and beams that span the ceiling's length and width.
What is the function of the ceiling?Ceilings assist in enclosing and dividing spaces, controlling the diffusion of light and sound inside a space, and preventing the transfer of sound across spaces.
To know more about Ceiling visit:
https://brainly.com/question/12214275
#SPJ4
If the car maintains its constant acceleration, how much additional time does it take the car to reach a velocity of 35.0 m/sm/s ? express your answer in seconds.
5 seconds is the additional time.
Describe acceleration using an example.It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. 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 set of traffic lights.How is acceleration measured?A metre per second (m/s2) is used to measure acceleration. The newton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.learn more about acceleration here
https://brainly.com/question/25749514
#SPJ4
Calculate the average speed of a complete round trip in which the outgoing 300 km is covered at 93 km/h , followed by a 1.0-h lunch break, and the return 300 km is covered at 56 km/h
The average speed of the complete round trip is 65.57 km / h.
We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as
v = d / t
where v is average speed, d is distance and t is time.
From the question above, we know that
d1 = 300 km
v1 = 93 km/h
t lunch = 1 hour
d2 = 300 km
v2 = 56 km/h
Find the time during the outgoing
v1 = d1 / t1
t1 = d1 / v1
t1 = 300 / 93
t1 = 3.23 hours
Find the return time
v2 = d2 / t2
t2 = d2 / v2
t2 = 300 / 56
t2 = 5.36 hours
Hence, the total time
t = t1 + t2 + t lunch
t = 3.23 + 5.36 + 1
t = 9.59 hours
Find the average speed
v = d / t
v = (300 + 300) / 9.59
v = 65.57 km / h
For more on average speed at: https://brainly.com/question/24739297
#SPJ4
Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (let |a| = 22 lb and |b| = 16 lb. round your answers to one decimal place.)
Given,
The magnitude of the resultant force is 39.7 N and makes an angle of 49.5° with the x-axis.
The two given forces are vectors, thus they have to be resolved horizontally and vertically to determine their resultant.
So that:
Horizontal component = F Cos θ
Vertical component = F Sin θ
Thus, given that: a = 28 lb at 45° on x & y axis, and b = 12 lb at 30° below x-axis.
i. Resolving the vector horizontally, we have:
horizontal component = 28 Cos 45° + 12 Cos 30°
= 19.80 + 10.39
horizontal component, x = 30.19
ii. Resolving the vectors vertically, we have:
vertical component = 28 Sin 45° + 12 Sin 30°
= 19.80 + 6.0
vertical component, y = 25.80
a. Magnitude of the resultant force, |R| = [tex]\sqrt{x^{2} + y^{2} }[/tex]
= [tex]\sqrt{(30.19)^{2} +(25.80)^{2} }\\\\[/tex]
= 39.7124
|R| = 39.7 Newtons
b. The angle that the resultant makes with the positive x-axis can be determined by:
[tex]Tan\ \theta = \frac{x}{y} \\\\\theta = Tan^{-1} \frac{30.19}{25.80} \\\\= 49.4832\\\\\theta = 49.5\textdegree[/tex]
Therefore, the magnitude of the resultant force is 39.7 N and makes an angle with the x-axis.
Learn more about resultant here:
https://brainly.com/question/19492935
#SPJ4
If two angles of a triangle have radian measures 9 and 3 8 , find the radian measure of the third angle.
The third angle of the triangle should be 37π/72 rad.
We need to know about the triangle rule to solve this problem. One of the rules of the triangle is the total angle inside the triangle is 180⁰.
A + B + C = 180⁰
From the question above, the given parameter is
A = π/9 rad
B = 3π/8 rad
Convert the angle to radian
180⁰ = π
Hence, the total angle should be
A + B + C = π
π/9 + 3π/8 + C = π
C = π - (π/9 + 3π/8)
C = π - 35π/72
C = 37π/72 rad
Hence, the third angle of the triangle should be 37π/72 rad
Find more on triangle at: https://brainly.com/question/25215131
#SPJ4
What is the frequency (s-1) the light from a laser with a wavelength of 615 nm? enter your answer with three decimals and no units.
The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz
Stepsv= c/ lambda
c= 3.00 x10^8 m/s
nm into meters
615nm (1m/ 1x10^9 nm) = 6.15x 10^-7 m
use frequency formula
v = 3.00 x10^8 m/s // 6.15 x10 ^-7
v = 4.878 x10^ 14 s-1 hertz
The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz
What do you mean by frequency?The quantity of waves that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in half a second, the frequency is 2 per second. The frequency is 100 times per hour if it takes 1/100 of an hour.
learn more about frequency here
https://brainly.com/question/254161
#SPJ4
What volume of pure oxygen gas (o2) measured at 546 k and 1.00 atm is formed by complete dissociation of 0.5 mol of ag2o?
The unifying relationship among the variables temperature, volume, pressure, and the number of moles is described and summarized by the ideal gas law.
The equation for ideal gas law is given below where T is temperature, V is the volume, P is the pressure, n is the number of moles of the gas, and R is the gas constant 0.082056 L⋅atm/mol⋅K
PV = nRT
Calculate first the moles of O2 from the moles of Ag2O
moles O2 = 0.5 moles Ag2O x 1 mol O2/2 mol Ag2O = 0.25 moles
Assuming that the oxygen gas is an ideal gas, we will use the ideal gas equation to calculate the volume it occupies.
V = nRT/P
V = 0.25 moles*0.082056*546k/1 atm =
11 L
Hence, volume of pure oxygen gas (o2) is 11 L
Learn more about Volume here:
https://brainly.com/question/28306710
#SPJ4
A copper block weighing 2 kg is dropped from a height of 20m. what is the rise in the temperature of the copper block after it hits the floor. the specific heat capacity of copper is 400 j/(kgc )
The rise in temperature of the copper block after hitting the floor is 0.49°c
What is specific heat capacity?The quantity of heat energy needed to raise a substance's temperature per unit of mass is known as specific heat capacity. A material's specific heat capacity is a physical characteristic. Since its value is inversely correlated with the size of the system under study, it is also an illustration of an extended feature.
What is law of conservation of energy?Energy can only be transformed from one form to another. It cannot be created or destroyed.
How will this question be solved?From the law of conservation of energy we know,
The potential energy of the block= cmΔT
mgh= cmΔT
m×9.8×20= 400×m×ΔT
196=400ΔT
ΔT=0.49°C
To know more about specific heat capacity visit:
https://brainly.com/question/2530523
#SPJ4
An extensible wire that obeys looks low it stands by 5.00 mm when it's elastic potential energy is 50j. calculate the value for force constant of the wire
By using Hooke's Law, the force constant is 4 x 10⁶ N/m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The potential energy of spring can be determined as
PE = 1/2 . k . x²
where PE is potential energy
From the question above, we know that
x = 5 mm = 0.005 m
PE = 50 joule
By substituting the given parameter, we can calculate the force constant of the wire
PE = 1/2 . k . x²
50 = 1/2 . k . (0.005)²
k = 4 x 10⁶ N/m
Find more on Hooke's Law at: https://brainly.com/question/12253978
#SPJ4
16. How many coulombs of charge pass through a lamp in 1. 2 min if the current is constant at 250 ma?
According to the current, the charge is 18 coulombs.
We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as
I = Q / t
where I is current, Q is charge and t is time.
From the question above, we know that
I = 250 mA = 0.25 A
t = 1.2 min = 72 seconds
By substituting the given parameters, we can calculate the charge
I = Q / t
0.25 = Q / 72
Q = 18 coulombs
Hence, the charge is 18 coulombs.
Find more on current at: https://brainly.com/question/24858512
#SPJ4