The fundamental frequency of the String is 177.42 Hz.
We define the frequency of a sinusoidal wave as the number of complete oscillations made by any wave element per unit of time. Thus, frequency is a parameter that describes the rate of oscillation and vibration.The time period of oscillation of a wave is defined as the time taken by any string element to complete an oscillation.The angular frequency refers to the angular displacement of any wave element per unit of time or the rate of change of the waveform phase.Given,
The Tension (T) in the String is 765 N.
Steel wire length (L) is 0.900 m
Mass of the string (m) is 6.75 g = 6.75 * 10^-3 kg.
Frequency of the string = n *(Velocity of the wave on the String/(2L) )
Velocity of the wave on the string is : V = [tex]\sqrt{\frac{T}{m/L} }[/tex]
Putting these values in above equation we get : V = 319.37 m/s
For Fundamental Frequency n = 1
Frequency = V / 2L
f = 319.37 / (2*0.9)
f = 177.42 Hz
So, the fundamental frequency of the String is 177.42 Hz.\
To know more about frequency visit;
https://brainly.com/question/9077138
#SPJ4
A UFO going 17 m/s north suddenly experienced a constant acceleration for 77 s during which it’s displacement was 19,096 m north. Determine the final speed of the UFO and the magnitude of the UFOs acceleration
a) The final speed of the UFO is 0 m/s.
b) The acceleration of the UFO is 0.0076 m/s^2.
What is the speed?We know that the speed would have to do with the rate of change of the displacement of the object with time. We known that within the time in which the UFO has a constant acceleration then the final velocity of the UFO is 0 m/s.
We have that;
v^2 = u^2 - 2as
v = final velocity
a = acceleration
s = displacement
u = initial speed
The final speed of the UFO is 0 m/s
We then have;
u^2 = 2as
a = u^2/2s
a = (17)^2/2 * 19096
a = 0.0076 m/s^2
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
If you could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr) across oceans and space, approximately how long would it take to drive to the nearest star, Alpha Centauri (4.4 light-years away)?
If you could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr) across oceans and space, approximately how long would it take to drive around Earth's equator?
If one could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr), the time it will take to drive around the Earth's equator is 250.47hours.
How to calculate time?The time it will take to cover a certain distance can be calculated using the following formula;
Speed = distance ÷ time
According to this question, one could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr) across oceans and space. The distance around Earth at the Equator, its circumference, is 40,075 kilometers (24,901 miles).
Time = Distance ÷ speed
Time = 40,075km ÷ 160km/hr
Time = 250.47hours
Therefore, 250.47hours is the time it will take to cover around the Earth's equator.
Learn more about distance at: https://brainly.com/question/541239
#SPJ1
(UPDATED) Please answer the following questions requested bellow ↓ (SIXTH PAGE)
≈≡ EACH QUESTION IS 5 POINTS WHICH IS 30 POINTS IN TOTAL ≡≈
**( + An extra 10 points)**
**Check previous question for other five pages Thank You**
During Stanford University's "Search for Isolated Fractionally Charged Particles," more than 100 million more oil droplets were measured, hence option A is correct.
What is the search for fractionally charged particles?Theoretically, every charge must be a multiple of the charge of an elementary particle or an electron.
Similar automated equipment to that of Millikan and Fletcher was employed. No droplet with a fractional charge was discovered.
Therefore, even if the quantity used today for the elementary charge differs slightly from what Millikan and Fletcher measured, it is generally agreed that all charge is made up of multiples of the elementary charge.
Learn more about Millikan and Fletcher, here:
https://brainly.com/question/14619441
#SPJ1
fill in the blank.the internal revenue service threatens chloe with a penalty if she fails to pay her back taxes. she pays, and the threat is withdrawn. in the future, she is more prompt in meeting her obligation. this is an example of the use of___to control behavior. group of answer choices
When a person or business avoids paying their tax responsibilities, it is a criminal violation that entails fines and penalties.
What do "tax avoidance" or "tax evasion" mean?If Chloe doesn't pay her overdue taxes, then Internal Revenue Service will impose penalties. The threat is removed after she makes a payment. Now, she will finish her work more swiftly. This illustrates the application of behavior control.
What is the name for legitimate tax avoidance?On the contrary hand, tax avoidance is entirely legal. Qualified taxpayers may claim a variety of deductions, credits, or income adjustments in accordance with IRS regulations. For instance, some homeowners are permitted to write off the interest they pay off their mortgage.
To know more about responsibilities visit:
https://brainly.com/question/29332075
#SPJ4
in an experiment, students use a force sensor to apply a force of magnitude to an object of mass that is initially at rest. the force is exerted in the -direction for a time . the impulse exerted on the device is . which of following procedure changes would result in an impulse being exerted on an object? A Exert a force of magnitude on an object of mass m for a time t T. B Exert a force of magnitude on an object of mass 2m for a time t = 2T. 2 Exert a force of magnitude F on an object of mass 2m for a time t = 2T. D Exert a force of magnitude 2F on an object of mass m for a time t = 2T. E Exert a force of magnitude 2F on an object of mass m for a time t = .
Option D: Apply a force of magnitude 2F for a period of time t=2T to a mass m object. The impulse will rise as the force, the passage of time, or the object's mass increase.
The force times the length of time that the force is applied to an item results in the impulse. For a force to impose an impulse on an item, both the force applied and the time period during which it is applied must be non-zero. The scenario in which a force of magnitude 2F is applied to an item of mass m over a period of time t = 2T results in option D being the right response. This is so that, since the impulse is computed as the product of force and time, the impulse will not change if the force and time are both doubled. Alternatives like A, B, and C wouldn't cause an impulse to be applied to an object.
learn more about magnitude here:
https://brainly.com/question/28173919
#SPJ4
what is most nearly the force (in kips) in member cd in the truss shown, where tension is positive and compression is negative?
If the value is positive, the member is in tension; otherwise, the member is in compression if the value is negative.
What is force?A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull. A force is not something that an object possesses or possesses. Another object applies a force to another. The concept of a force is not restricted to living or non-living things.
Here,
If the value is positive, the member is in tension; if it is negative, the member is in compression.
To know more about force,
https://brainly.com/question/30174273
#SPJ4
which of the following are true of the transfer of thermal energy in the oceans? select the three correct answers.
Near the equator, energy is more readily emitted than absorbed. Near the poles, energy is mostly absorbed rather than radiated. In depth ocean currents, energy is transported from the equator to the poles.
What does a scientific energy exactly mean?Energy is described as the capacity to apply a force sufficient to move an object, or the capacity to "accomplish work." Despite the vagueness of the definition, the concept is actually quite straightforward: electricity simply denotes the force that drives objects. Potential energy falls into two distinct kinds.
basic description of energyThe ability to work is the most fundamental definition of energy. Energy is what moves and transforms things. It is many in shape and is found everywhere. Food preparation demands energy.
To know more about Energy visit:
https://brainly.com/question/1932868
#SPJ4
Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 x 10ª Pa and 1.20 x105 Pa. The
radius of the pipe at points 1 and 2 respectively is 3.30 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine
the following.
(1) The total pressure of the pipe at point 1 is 1.85 x 10⁵ Pa.
(2) The total pressure of the pipe at point 2 is 146,950 Pa.
What is the total pressure at position 1 and 2?
The total pressure at position 1 and 2 is calculated by applying Bernoulli's equation as shown below.
P (t) = P₀ + ρgh
where;
P₀ is the gauge pressureρ is the density of waterg is acceleration due to gravityh is the height of the pipeThe total pressure of the pipe at point 1 is calculated as follows;
P (t) = ( 1.85 x 10⁵ ) + ( 1000 x 9.8 x 0 )
P (t) = 1.85 x 10⁵ Pa
The total pressure of the pipe at point 2 is calculated as follows;
P (t) = ( 1.2 x 10⁵ ) + ( 1000 x 9.8 x 2.75 )
P (t) = 146,950 Pa
Learn more about total pressure here: https://brainly.com/question/26101731
#SPJ1
The complete question is below:
Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 x 10ª Pa and 1.20 x105 Pa. The
radius of the pipe at points 1 and 2 respectively is 3.30 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine
the following.
(1) the total pressure at point 1
(2) the total pressure at point 2
which of the following can be used to organize large volumes of data into meaningful patterns and summaries?
Data mining can be used to organize large volumes of data into meaningful patterns and summaries.
Large data sets are sorted through in data mining in order to find patterns and relationships that may be used in data analysis to assist solve business challenges. Enterprises can forecast future trends and make more educated business decisions thanks to data mining techniques and technologies.
Data mining is a crucial component of data analytics as a whole and one of the fundamental fields in data science, which makes use of cutting-edge analytics methods to unearth valuable information in data sets. Data mining, at a more detailed level, is a step in the knowledge discovery in databases (KDD) procedure, a data science approach for obtaining, processing, and evaluating data. Although they are often used interchangeably, data mining and KDD are more frequently understood to be separate concepts.
To learn more about data mining:
https://brainly.com/question/29052328
#SPJ4
at which of the following air temperatures will the speed of a sound wave be closest to 1,0001,0001, comma, 000 feet per second?
The speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).
What is sound wave?Sound waves are waves of energy that travel through air, water, or other materials as vibrations. Sound waves form when an object vibrates in a medium like air.
The speed of sound in air is approximately 1,116 feet per second at sea level and decreases with increasing altitude. At an air temperature of 0°C (32°F), the speed of sound is about 1,010 feet per second.
Therefore, the speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).
To learn more about sound wave
https://brainly.com/question/16093793
#SPJ4
the mass of a glacier____when the accumulation of snow and ice during the winter months is larger than ice melt during summer months. fill in the blank with the best word choice from the list below.
When the accumulation of snow and ice during the winter months exceeds the ice melt during the summer months, the mass of a glacier increases.
How the mass of glacier increases?As summer temperatures rise, the higher glaciers melt to provide water later in the season.If the rate of melting across the glacier increases, the glacier will have a negative mass balance and shrink. If the glacier receives more snow or ice but the amount of melt remains constant, the glacier will expand.Glaciers gain and lose mass due to snowfall and melting and sublimation (when water evaporates directly from solid ice). Glaciers that end in a lake or the ocean lose mass due to iceberg calving.Increased marginal ablation (largely a function of summer temperature for land-based glaciers) overwhelms the mass supplied during climate warming, forcing a glacier margin to retreat.The complete question:
"the mass of a glacier ____ when the accumulation of snow and ice during the winter months is larger than ice melt during summer months. fill in the blank with the best word choice from the list below.
a. increases
b. decreases."
To learn more about glaciers refer to :
https://brainly.com/question/424537
#SPJ4
what happens inside when an air-filled, sealed can, is heated?responsesthe collisions of air molecules against the wall of the can do not change.the collisions of air molecules against the wall of the can do not change.the collisions of air molecules against the wall of the can are weaker and less frequent.the collisions of air molecules against the wall of the can are weaker and less frequent.the collisions of air molecules against the wall of the can are stronger and more frequent.
When an air-filled, sealed can is heated, the temperature of the air inside the can increases.
What is temperature?Temperature is the measure of the average kinetic energy of the particles in a substance. Temperature is measured using a thermometer and is usually expressed in degrees Celsius (°C), Fahrenheit (°F), Kelvin (K), or Rankine (R).
This causes the air molecules to move faster, resulting in more frequent and stronger collisions against the wall of the can. As the temperature of the air inside the can continues to increase, the air molecules move faster and the collisions against the wall of the can become stronger and more frequent.
To learn more about temperature
https://brainly.com/question/28912732
#SPJ4
list the two methods most commonly used to limit the effects of indirectly transmitted x-ray photons.
The two methods most commonly used to limit the effects of indirectly transmitted x-ray photons are shielding and filtration.
Shielding is the process of placing materials between the x-ray source and the patient that absorb the x-ray photons, thus reducing the amount of radiation that reaches the patient. Common shielding materials include lead, tungsten, and concrete.
Filtration, on the other hand, involves the use of filters to reduce the energy of the x-ray beam by absorbing some of the lower-energy x-ray photons. These filters can be made of materials such as aluminum, copper, or polyethylene.
Both methods are effective at reducing the amount of radiation that reaches the patient and are used in combination to provide the greatest protection.
Learn more about filtration:
https://brainly.com/question/26104477
#SPJ4
If someone tells a friend that it is 75 degrees outside, that number represents the
Answer:
Temperature
Explanation:
Commonly when speaking about the temperature outside we will refer to it as --degrees Fahrenheit or Celsius. So if I were to tell my friend that it is currently 68 degrees outside, that would mean that the current temperature is 68 degrees Fahrenheit or Celsius outside.
-Hope this helped
the emotional atmoshere is very controlled and restricted for mom,jaja, and kambili due to how extremely controlling eugene, the father is. due to papas ways the children do not ever speak up, never laugh , never live a true childhood and never smile. they are also never allowed to fail or be themselves. papa is so strict because he did not have much in his own childhood and want his kids to not take what they are given for granted. he also is this way he justifies everything out of the bible and almost views himself as a god.
Due to Eugene's intense control, the emotional environment for mom, jaja, and kambili is very confined and controlled.
The children never laugh, speak up, truly experience childhood, or grin as a result of Papa's ways. Additionally, they are never permitted to make mistakes or be themselves. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He is this way also because he virtually sees himself as a god and uses the bible to justify everything.
Eugene, the father, is incredibly controlling, which restricts and controls the emotional atmosphere for mom, jaja, and kambili. Due to papa's ways, the kids never speak up, laugh, or truly experience childhood. They also never smile. They're never let to make mistakes or be themselves, either. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He too thinks this way; he uses the Bible to support all he does and almost considers himself to be divine.
Learn more about the atmosphere here: https://brainly.com/question/1844421
#SPJ4
an olympic track runner starts from rest and has an acceleration of 1.6 m/s2 for 3.7 s, then has zero acceleration for the remainder of the race. find the runner's speed at the following times. (a) at time t = 1.3 s
m/s
(b) the end of the race
m/s
When an Olympic track runner begins at rest and has an acceleration of 1.6 m/s2 for 3.7 seconds, then has zero acceleration for the remainder of the race, the runner's speed at time t is 2.08 m/s.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number.
Here,
put the values of Vi, a and t in first equation of motion
Vf = Vi + a×t
Vf = 0 + 1.6×1.3
Vf = 2.08 m/s
The runner's speed at time t as 1.3 seconds is 2.08 m/s when Olympic track runner starts from rest and has an acceleration of 1.6 m/s2 for 3.7 s, then has zero acceleration for the remainder of the race.
To know more about velocity,
https://brainly.com/question/14541874
#SPJ4
A pulley system has a mechanical advantage of 3, and an object weighing 9 Newtons must be lifted 15
meters. How much force must be applied to lift the object?
Use the following equation to find the answer.
MA= Fo/F i
(1 point)
A. 1.7 N
b. 0.3 N
c.27 N
d.3N
C. 27 N force must be applied to lift the object.
How much force must be applied to lift the object?The mechanical advantage of a pulley system is calculated by dividing the output force by the input force. In this case, the mechanical advantage is 3, meaning the output force is 3 times larger than the input force.To find the force required to lift the object, we can use the equation: Force = (Weight of Object x Distance) / Mechanical Advantage.Plugging in the given numbers, the force required to lift the object is (9 Newtons x 15 meters) / 3 = 45 Newtons. Therefore, 45 Newtons of force must be applied to lift the object. Using a pulley system to lift an object is advantageous because it reduces the amount of force needed to lift the object. The mechanical advantage of the pulley system multiplies the output force, allowing the user to lift the object with less effort.Pulley systems are often used to lift large or heavy objects, such as in cranes and construction sites.They are also useful in machines and everyday items, such as roller blinds and bicycles.
To learn more about The mechanical advantage of a pulley system refer to:
https://brainly.com/question/1303344
#SPJ1
which of the following correctly describes the meridian in your sky? group of answer choices the boundary between the portion of the celestial sphere you can see at any moment and the portion that you cannot see a half-circle extending from your horizon due north, through your zenith, to your horizon due south a half-circle extending from your horizon due east, through your zenith, to your horizon due west a half-circle extending from your horizon due east, through the north celestial pole, to your horizon due west the point directly over your head
The celestial meridian is a hypothetical line that passes through the NCP, the zenith, the north point on the horizon, and the south point on the horizon before ending at the south point.
What point in your sky is the Meridian?The zenith is the point immediately overhead, and the meridian is a fictitious half-circle running from the horizon's due south to its due north, passing through the zenith. The direction along the horizon and the height above the horizon of any object in the nearby sky can be used to identify it.The celestial meridian is a hypothetical line that passes through the NCP, the zenith, the north point on the horizon, and the south point on the horizon before ending at the south point. A western and an eastern half of the sky are separated by it.To learn more about celestial meridian refer to:
https://brainly.com/question/28997796
#SPJ4
Which of the following options correctly reflect the equation relating Kp and Kc for a given reaction?Kp = Kc (RT)^ΔnT is the temp. in kelvinR= 0.0821 atmL/ molK(it is usually assumed that pressures are measured in atm)Δn is determined from the coefficients of the balanced equation.
The equation relating Kp and Kc for a given reaction is Kp = Kc (RT)^Δn.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions connected by an equal sign, and it expresses the relationship between the two expressions. Equations can be used to solve for unknown quantities, to describe physical phenomena, and to model real-world situations. Different kinds of equations are used in various fields of science and mathematics, ranging from simple linear equations to complex differential equations.
Where:
Kp is the equilibrium constant for the reaction at a given pressure
Kc is the equilibrium constant for the reaction at a given concentration
R is the ideal gas constant and is equal to 0.0821 atmL/molK
T is the temperature in Kelvin
Δn is determined from the coefficients of the balanced equation, and represents the sum of the moles of products minus the sum of the moles of reactants in the reaction.
To learn more about equation
https://brainly.com/question/26408808
#SPJ4
a softball is thrown off of a building that is 80 meters high at a velocity of 10 meters per second. its height, in meters, after t seconds is
When a softball is thrown from an 80-meter-high building at a velocity of 10 meters per second, the height after t seconds is 148 feet.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number.
Here,
The maximum height the ball will reach is the vertex of the parabola s(t)=48+80t-16t2. first, we need to solve for t. The vertex of any parabola of the form f(x)=ax2+bx+c is found by using x=-b/2a. In this case, x=t, b=80 and a=-16. Substituting we get:
]t=-80/((2)(-16)--->t=-80/-32--->t=5/2
Putting this value of t in the original formula will give us the maximum height:
s(t)=48+80t-16t2
s(5/2)=48+80(5/2)-16(5/2)2
s(5/2)=48+200-16(25/4)
s(5/2)=248-100
smax=148 feet
It's height, in meters, after t seconds is 148 feet when softball is thrown off of a building that is 80 meters high at a velocity of 10 meters per second.
To know more about velocity,
https://brainly.com/question/13262345
#SPJ4
A hummingbird averages a speed of about 45 km/hour (Cool facts: They visit up to 1000 flowers per day, and reach maximum speed, while diving, up to 160 km/hour!). Ruby-throated hummingbirds take a non-stop trip across Gulf of Mexico in which they fly for 18 hours straight! How far is the trip across the Gulf of Mexico at their average speed?
answer choices
810 km
2.5 km
3.6 km
360 km
It would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.
What is average speed?Average speed is the measure of an object's overall rate of motion in a given direction. It is calculated by dividing the total distance traveled by the total time taken. Average speed can be calculated over a certain period of time, or it can be calculated over the entire duration of a journey.
At an average speed of 45 km/hour, a hummingbird would travel 45 km in one hour.
Therefore, it would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.
To learn more about average speed
https://brainly.com/question/24739297
#SPJ4
Alison is playing in front of her house. She skips forward 700 steps, skips back 900 steps and forward again 50
steps. If she has been skipping for 10 minutes, Find the speed at which Alison moves and her velocity. Draw
Alison's motion
The speed at which Alison moves is 2.75 steps per second.
The velocity of Alison is determined as 0.25 steps backward.
What is the speed of Alison?
The speed of Alison is the ratio of total distance travelled by Alison to total time of motion.
v = ( 700 + 900 + 50 ) / ( 10 min x 60 s )
v = 2.75 steps per second
The velocity of Alison is the ratio of the total displacement of Alison to total time of motion and it is calculated as follows;
v = ( 700 - 900 + 50 ) / ( 10 x 60 s )
v = ( - 150 steps ) / ( 600 s )
v = 0.25 steps / second backward
Learn more about velocity here: https://brainly.com/question/25905661
#SPJ1
A 3.0 g spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second. What is the spring constant of the silk thread?
The spring constant can be obtained as 0.12.
What is the spring constant?We know that in the question, we have been told that A 3.0 g spider is dangling at the end of a silk thread. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second.
Thus using;
T = 2π√m/k
m = mass of the spider
k = spring constant
T = time in seconds
Then;
1 = 2 * 3.142√3 * 10^-3/K
1/2 * 3.142 = √3 * 10^-3/K
(1/2 * 3.142 )^2 = 3 * 10^-3/K
K = 3 * 10^-3/(1/2 * 3.142 )^2
K = 0.12
Learn more about the spring constant:https://brainly.com/question/14159361
#SPJ1
Give an example where a combination of three nonzero vectors in R4 is the zero vector. Then write your example in the form Ax = 0. What are the shapes of A and x and 0 ?
An example where a combination of three nonzero vectors in R4 is the zero vectorv1 = [1, 2, 3, 4] : v2 = [2, 4, 6, 8] ; v3 = [-1, -2, -3, -4] A = [[1, 2, -1], [2, 4, -1], [3, 6, -1], [4, 8, -0.5]]; x = [a, b, c]^T ; 0 = [0, 0, 0, 0]
What is meant by vectors?Vectors are the combination of magnitude and direction, and they are drawn as arrows.
An example of a combination of three nonzero vectors in R4 being the zero vector is when the three vectors are linearly dependent. For example, let's consider the following three vectors in R4:
v1 = [1, 2, 3, 4]
v2 = [2, 4, 6, 8]
v3 = [-1, -2, -3, -4]
These three vectors are linearly dependent, because v3 can be written as a linear combination of v1 and v2:
v3 = -1 * v1 + -0.5 * v2
Their combination is the zero vector:
v1 + v2 + v3 = [1, 2, 3, 4] + [2, 4, 6, 8] + [-1, -2, -3, -4] = [2, 8, 12, 16] + [-1, -2, -3, -4] = [1, 6, 9, 12] + [-1, -2, -3, -4] = [0, 4, 6, 8] + [-1, -2, -3, -4] = [-1, 2, 3, 4] + [-1, -2, -3, -4]=[-2, 0, 0, 0]=[0, 0, 0, 0]
We can express this in form Ax = 0 where A is a matrix and x is a column vector.
A = [[1, 2, -1], [2, 4, -1], [3, 6, -1], [4, 8, -0.5]]
x = [a, b, c]^T
0 = [0, 0, 0, 0]
To know more about vectors, refer
https://brainly.com/question/27854247
#SPJ4
The diagram below shows a 4.0-kilogram object accelerating
at 10. meters per second2 on a rough horizontal surface.
Acceleration = 10. m/s²
Frictional
force=F₁
m = 4.0 kg
O. 5.0N
Ob
10. N
Of 20.N
04 40.N
Applied
force = 50. N
(Not drawn to scale)
What is the magnitude of the frictional force Fr acting on
the object?
The magnitude of the frictional force Fr acting on the object is 10 N.
option B.
What is the magnitude of the frictional force?
The magnitude of the frictional force Fr acting on the object is calculated by applying the following formula.
F - Fr = ma
where;
Fr is the frictional forceF is the applied forcem is the mass of the objecta is the acceleration of the object50 N - Fr = 4 kg x 10 m/s²
50 N - Fr = 40 N
Fr = 50 N - 40 N
Fr = 10 N
Learn more about force of friction here: https://brainly.com/question/20241845
#SPJ1
a drug is infused into a patient's bloodstream at a constant rate of r grams per second. simultaneously, the drug is removed at a rate proportional to the amount x(t) of the drug present at time t. determine a differential equation for the amount x(t). (use k > 0 for the constant of proportionality and x for x(t).)
The constant of proportionality (k) is used to represent the rate at which the drug is removed.
What is proportionality?Proportionality is a mathematical concept that describes the relationship between two variables in which the ratio of their values is always constant. This ratio is known as a proportion and is expressed as a fraction.
The differential equation for the amount x(t) is given by:
dx/dt = r - kx
This equation states that the rate of change of x (dx/dt) is equal to the rate of infusion (r) minus the rate of removal (kx).
The rate of removal is proportional to the amount of the drug present at time t (x).
Therefore, the constant of proportionality (k) is used to represent the rate at which the drug is removed.
To learn more about proportionality
https://brainly.com/question/17010736
#SPJ4
Please answer the question.
The angle θ between P and Q vector is 18.43°.
What is vector quantity?In physics, a vector is a quantity that has both magnitude and direction. It is typically represented by an arrow with the same direction as the quantity and a length proportional to the magnitude of the quantity.
A vector, while having magnitude and direction, does not have position. A vector quantity is any physical quantity that has both directions and magnitude.
According to given parameters:
PQ sinθ = (1/3) PQ cosθ
tanθ = 1/3
θ = 18.43°
Hence, the angle θ between P and Q vector is 18.43°
Learn more about vector quantity here:
https://brainly.com/question/774036
#SPJ1
in a command economy, which group is most responsible for producing the goods for people in society need
In a command economy, the government is responsible for producing the goods that people need.
In a command economy, what does the government accomplish?
The production and distribution of goods and services are directed and regulated by the government in a command economy. The prices at which these goods and services are sold are set by the government, which also controls and manages the production and supply of these goods and services.
The government also decides what will be produced in terms of goods and services as well as how resources will be distributed. The majority of the resources and businesses are owned by the government, which also sets production targets and determines how they will be achieved.
The government also sets the wage rate and manages the flow of money, including the interest rate. Additionally, the government offers its citizens basic services like health care and education.
To learn more about command economy refer :
https://brainly.com/question/4379731
#SPJ1
Figure 9-53 shows an approximate plot of force magnitude F versus time t during the collision of a 58g Superball with a wall. The initial velocity of the ball is 34m/s perpendicular to the wall; the ball rebounds directly back with approximately the same speed, also perpendicular to the wall. What is F max,the maximum magnitude of the force on the ball from the wall during the collision?
The force applied by the ball on the wall is 3.994 Newton, if the mass of the ball is 58 gm, and initial velocity is 34 m/s.
Mass of the ball, m = 58 gm = 0.058 kg
Initial velocity of the ball, u = +34 m/s
Time of the applied force, t = 1 sec
Final velocity of the ball, after collision, v = -34 m/s [negative: as the direction is opposite]
Let the force applied by the ball on the wall is F. We know the rate of change of momentum of an object is equal to the force applied by the object. So,
F = (m₁v₁ - m₂v₂)/t
F = (0.058 × 34 - 0.058(-34))
F = 3.944 N
To know more about force, here
https://brainly.com/question/13191643
#SPJ4
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***
With steps pls so I can
understand
The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.
Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.
The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.
What is resistance?The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().
Here,
r=2.5 ohm
V= 6.2 volts
P=4.5 watt
P=V²/R
R=V²/P
R=6.2*6.2/4.5
R=8.54 ohm that is about 9 ohm.
I=V/R
I=0.726 A
EMF=V+Ir
=6.2+0.726*2.5
=6.20+1.81
=8.01 volts
The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.
To know more about resistance,
https://brainly.com/question/13258713
#SPJ1