AB+CD+BC=AB+BC+CD=AD. It tells us that first traveling from A to B, then B to C, and from C to D is equivalent to directly traveling from A to D
Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra.
There are a few conditions for any vector addition, they are:
Scalars and vectors can never be added.For any two vectors to be added, they must be of the same nature.There are two laws of vector addition, they are:
Triangle law of vector additionParallelogram law of vector additionTriangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
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An error that occurs consistently in one direction, such as a scale that weighs everyone two pounds more than their true weight, is known as a:
A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.
If an error changes in the same direction throughout time, it is said to be systematic. For instance, if something always or frequently caused the blood pressure to increase right before the measurements were to be taken, this could occur when taking blood pressure.One measurement may slightly differ from the next due to random error. It results from unanticipated changes that occur throughout an experiment. When a reading is taken consistently each time, systematic error always impacts measurements in exactly the same way or to exactly the same degree. It is foreseeable.To know more about error here
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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.
Their centers are separated by a distance of 2500 m. Find the
gravitational attraction between them.
When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.
Given,
m = 1.5 × 10^5 kg
M = 8.5 × 10^2 kg
r = 2500 m
F=GmM/r^2
Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant
F = 1.36 × 10^-9 N
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).
If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.
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A 3000 kg truck traveling at 10 m/s rear ends a stationary 1000 kg car . What is their combined speed after the crash?
Caffeine dosage causes a change in the time to finish a maze and it isn't possible for that the time to finish a maze could cause a change in
caffeine dosage.
Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.
Caffeine Maze Time ImpactCaffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.
On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.
So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.
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A mass on the end of a spring undergoes simple harmonic motion. At the instant when the mass is at its equilibrium position, what is its instantaneous velocity?
A.Instantaneous velocity cannot be determined without additional information
B.At equilibrium, its instantaneous velocity is less than its maximum but not zero.
C.At equilibrium, its instantaneous velocity is at maximum
D.At equilibrium, its instantaneous velocity is zero.
At the instant when a mass is at its equilibrium position when undergoing simple harmonic motion, its instantaneous velocity is its maximum.
Therefore the answer is C. At equilibrium, its instantaneous velocity is at maximum
The simple harmonic motion is periodic motion that oscillates around an equilibrium position. At the equilibrium position, the net force on the mass is zero. Therefore, the mass is not accelerating, so its instantaneous acceleration is zero.
The motion is periodic, meaning it repeats itself at regular intervals of time. In the case of a mass on the end of a spring, the spring exerts a force on the mass that acts to bring it back to its equilibrium position. When the mass is at the equilibrium position, the spring force is zero, and the mass is not accelerating. Therefore, the acceleration is maximum at it ends and decreases to zero at equilibrium position.
The instantaneous velocity is zero at the end as it changes direction of motion, though the acceleration is decreasing from end position to equilibrium, velocity is increasing. The instant after equilibrium position, the acceleration is in opposite direction decreasing the velocity till it is zero at the end position.
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The seatback must be adjusted far enough for your __________ to rest on the top of the steering wheel when your arm is comfortably extended.
The seatback must be adjusted far enough for your wrist to rest on the top of the steering wheel when your arm is comfortably extended.
What is the motion of steering wheel?The majority of modern automobiles, compact trucks, and SUVs have a rack and pinion steering. This transforms the steering wheel's rotational action into the linear motion which rotates the wheels and directs your course. A steering pinion, a circular gear, is used in the system to lock teeth on a rod (the rack).
What kind of basic device is a steering wheel?The basic device at work in steering, doorknobs, turbines, and bicycle wheels is a wheel and axle. An inclined plane wound around a cylinder is known as a screw.
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What can you conclude about the velocity of the object on the graph below
Answer:
The more time goes on the higher in meters. So most likely more time = closer to terminal velocity. -hope this helps.
A body of ma 3kg and volume 4x10-4m3 hung from a balance graduated in newton. What i the reading of the balance when the body i in air
W=mg=(3)(9.8)=29.4N is the balance measurement for an airborne body. Scales of this kind include spring balances and newtons meters. They are frequently used to gauge the amount of force applied to an object.
What guiding principle guides the Newton spring balance?The spring balance operates according to Hooke's law. According to Hooke's law, a material's strain will increase in direct proportion to its applied stress up to its elastic limit.
The spring balance measures what?A straightforward and affordable way of measuring mass is offered by spring balances. The mass is suspended from a spring, and the spring's bending caused by the mass's downward gravitational pull is gauged against a scale.
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Which of the following best defines the term “climate”?
A: the weather patterns that are occurring right now
B: the specific weather patterns for a local region or city
C: the temperature readings for the past 30 years or more
D:he average conditions of the atmosphere for a large region for the past 30 years or more
The statement that best defines climate is as follows: the average conditions of the atmosphere for a large region for the past 30 years or more (option D).
What is climate?Climate is the long-term manifestations of weather and other atmospheric conditions in a given area or country.
Climate is now usually represented by the statistical summary of its weather conditions during a period long enough to ensure that representative values are obtained (generally 30 years).
A description of a climate includes information on, e.g. the average temperature in different seasons, rainfall, and sunshine.
Therefore, option D correctly describes climate.
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A steel ball ball rolls across a level track a distance of 1.3 meters in a time of .45 seconds what is the velocity of the ball
Answer:
Velocity of ball = 2.90 meter per second (Approx.)
Explanation:
Given:
Distance travel by ball = 1.3 meters
Time taken by ball = 0.45 seconds
Find:
Velocity of ball
Computation:
Velocity = Total displacement / Total time taken
Velocity of ball = Distance travel by ball /Time taken by ball
Velocity of ball = 1.3 / 0.45
Velocity of ball = 2.889
Velocity of ball = 2.90 meter per second (Approx.)
How does the digestive system help the muscular system?
A.
The digestive system absorbs the nutrients necessary for the functioning of the muscular system.
B.The digestive system delivers the blood used by the muscular system.
C.
The digestive system exchanges gases used by the muscular system.
D.The digestive system provides structural support to the muscular system.
Answer:
I would say the answer is A... but I'm not so sure ....
How can Accenture's sustainable software engineering help meet sustainability?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
Accenture can assist its clients in becoming more sustainable by using mynav to locate, assess, architect, and simulate an end-to-end solution at scale.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.
establishes sustainable guidelines for disposing of outdated technology.
Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers. through promoting the development of cloud technologies that cut down on carbon emissions
by reconfiguring factories so that carbon emissions may be easily measured
by implementing creative business techniques to reduce the cost of transportation
by creating new regulations for removing outdated technologies.
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How many resistors must be connected in series to give an equivalent resistance to five resistors connected in parallel
The value of the resistor of five parallel-connected resistors is R/5 ohm. Hence, 5 resistors of resistance R/25 ohm connected in series to give an equivalent resistance to five resistors connected in parallel
What is a resistor?Modern resistors are often constructed from a carbon, metals, or metal-oxide layer. In these resistors, an insulating material is covered in a helix around a thin layer of conductive (but still resistant) material.
What a resistor does in a circuitA resistor is a component of an electronic device that regulates or limits the amount of electrical current that can flow through a circuit. Resistors can also supply a certain amount of power to an electronic appliance like a transistor. A light bulb illuminates when power is applied to the resistor tungsten. The end results of the energy are heat and light.
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Mess Me and You will have nonsense Explain how this riddle relates to mutation in DNA
Nonsense mutations are those point mutations in the DNA where stop codons will appear before the time they should appear.
What are nonsense mutations?At the time of transcribing from DNA to RNA, the template needs to have both start and stop codons for the transcription to occur correctly, but sometimes mutations can occur that do not allow the protein to be produced correctly. This mutation can be permanent which causes damage to the formation of proteins.Sometimes mutations can be beneficial, allowing evolution and helping organisms to be better formed for a new environment.
It is the type of mutation in which a termination codon occurs before the time it should be, instead of giving a codon with a certain amino acid. Which gives a much shorter protein than it should be, giving a non-functional protein.
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What is the index of refraction of a refractive medium which slows the light to 1.88 x 10^8 m/s. What the index of the second medium
If the index of refraction of a refractive medium slows the light to 1.88 x 10^8 m/s. The index of the second medium is: 1.60.
How to find the index of the second medium?Using this formula to find the index of the second medium
n = c/v
Where:
n = refractive index of the medium
c = velocity of light in vacuum
v = velocity of light in the medium.2
Let plug in the formula
n = (3 x 10^8 m/s)/ 1.88 x 10^8 m/s
n = 300,000,000/188,000,000
n = 1.595
n = 1.60 (Approximately)
Therefore we can conclude that the refractive index of the medium is 1.60.
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a stone of mass 750 kg is thrown vertically upward with a velocity of 10m/s find the potential energy at the greatest height and kinetic energy on reaching the ground
Answer:
Potential Energy at the greatest point = 37.5 J
Explanation:
Given :
Mass is 750 g
In term of kg :
Mass is 0.75 kg .
Velocity ( v ) = 10 m / sec
We have formula for kinetic energy :
K.E. = 1 / 2 m v²
Putting values now :
K.E. = 1 / 2 × 0.75 × 10 × 10
K.E. = 1 / 2 × 75 J
K.E. = 37.5 J
Since K.E . = P.E.
Thus potential energy of stone is 37.5 J .
How do you calculate lever arm in torque?
We can find the torque of lever arm by the formula Torque(T)=Force * perpendicular distance.
A torque is an action that causes objects to rotate. A torque is required to rotate an object, just as a force is required to move an object in a line. Torque is created by force, but it also depends on where the force is applied and the point about which the object rotates.
Force and lever arm are not always perpendicular. When the force and lever arm are not perpendicular, trigonometry is required to calculate the length of the lever arm. The force applied is perpendicular to the surface of the object rotating. When this force is at an angle θ with the plane of the object, the perpendicular force requires the use of the sine function.
When an object is in rotational equilibrium, the net torque applied to it is zero. For example, if an object such as a see-saw is not rotating, you know the torque on each side is balanced Rotational equilibrium is often used to determine unknown forces. Any object that is not moving is in rotational equilibrium and in translational equilibrium.
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What is a major problem with CFCs?
A-it is toxic to breathe.
B-It does not readily break down in the atmosphere.
C-It is a greenhouse gas.
D-It isn't a good refrigerant
Answer:
I think
C- It's a greenhouse gas
Three point charges are arranged at the corners of a square of side L as shown in (Figure 1) What is the potential at the fourth corner (point A)? Express your answer in terms of the variables Q, L, and the Coulomb’s constant k.
The potential at the fourth point will be [tex]\frac{k^3Q}{\sqrt{L}}[/tex]
Let q1= -2Q and q2 = 6Q. ( k.)
What does charge number three's value, q3, equal?
To remedy the issue, the charges' orientation is also necessary.
You might try using the formula (kQ/r) to get the potential at the fourth corner.
Electric potential is a scalor, therefore adding the values from the three sites is as simple as adding them all together.
The effort required to transfer a unit charge against an electric field from a reference point to a specified spot. Earth is typically chosen as the reference point, however, any location beyond the range of the electric field charge can be utilized. potential electricity.
for instance, q1=-Q, L from the 4th point
q2=3Q and the fourth point's root is L.
The solution to q3= Q L from the fourth point is just [tex]-\frac{kQ}{L} + \frac{k^3Q}{\sqrt{L}} +\frac{kQ}{L} = \frac{k^3Q}{\sqrt{L}}[/tex] (at the fourth point)
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The missing diagram is attached below:
How is the heat affecting the appearance of the road and the people?
Answer:
I dont know what you mena by road and the people
A bus is traveling at 40 m/s after 5 seconds it comes to a stop what is the acceleration of the bus
Answer:
The acceleration becomes zero as it stops. It no longer moves
why should a counterweight be moveable
A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.
Why do moveable flight control surfaces have large counterweights installed in the leading edge?A counterweight's function is to speed up and improve the efficiency of lifting the load, which conserves energy and reduces wear and tear on the lifting apparatus. A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.
To lift loads up to 120 tons, tower cranes are utilized at large building sites. In a tower crane, a fixed and a moveable counterweight are held by two arms that extend from the center of the structure. For the purpose of balancing the load, the operator moves the mobile counterweight.
For the purpose of providing offset forces in the flight controls, counter weights are used. With less pressure needed to move the controls, this gives them better "feel" and "feedback" forces.
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A counterweight should be moveable so as to make lifting the load in a faster and more efficient manner.
What is a counterweight?A counterweight is a weight which has a major purpose to help maintain the stability and balance of a mechanical system by exerting an opposing force. A counterbalance or counterweight is usually used to lift a load more quickly and effectively, which saves energy and reduces wear and tear on the lifting apparatus used with it.The potential energy obtained is equivalent to the work done to lift the counterweight.When the counterweight is being displaced by a force that is acting in the same direction as the applied force, the potential energy gained is equal to that distance it is working or kept.To know more about counterweight visit
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What is the equation for torque used for lever arm and F for force?
The required equation for torque used for lever arm r and F for force is given as τ = |r| |F| sinθ.
A simple way to calculate the magnitude of the torque is to first determine the lever arm and then multiply by the times of applied force.
The lever arm is described as the perpendicular distance from axis of rotation to the line of action of force.
The equation used to calculate torque is , τ = r × F = |r| |F| sinθ
where,
r is the magnitude of lever arm
F is the magnitude of force vector
θ is the angle between lever arm and force vectors
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i need help with this can give a heart or like if its right
The new electrostatic force between the charges, given that q₁ is reduced to 1/2q₁ and q₂ is tripped is 3/2Fₑ (Option C)
How do I determine the new electrostatic force?First, we shall determine the initial electrostatic force between the charges. Details below:
First Charge (q₁) = q₁second Charge (q₂) = q₂Electric constant (K) = KDistance apart (r) = rInitial electrostatic force (F) = Fₑ =?F = Kq₁q₂ / r²
Fₑ = Kq₁q₂ / r²
Finall, we shall determine the new electrostatic force. The is illustrated below:
First Charge (q₁) = 1/2q₁second Charge (q₂) = 3q₂Electric constant (K) = KDistance apart (r) = rNew electrostatic force (F) =?F = Kq₁q₂ / r²
F = (K × 1/2q₁ × 3q₂) / r²
F = 3/2Kq₁q₂ / r²
But,
Fₑ = Kq₁q₂ / r²
Thus
F = 3/2Fₑ
Thus, we can conclude that the new electrostatic force is 3/2Fₑ (Option C)
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A student is connecting three resistors of various resistances together in a circuit. In one configuration, the resistors are connected in a series. In another configuration, the resistors are connected in parallel. Explain which configuration results in a higher total resistance.
Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.
What is Resistance?When a current, or flow of charge, must pass through a sequence of devices, resistors are used. For instance, if a person holding a screwdriver allows current to flow through them and into the Earth, then
Resistors are connected in series to a voltage source. Given that the current must flow sequentially through each resistor, it makes sense that the total resistance is equal to the sum of the individual resistances.
This fact would be helpful to someone trying to prevent an electrical shock since they could wear high-resistance rubber-soled shoes to lower the current.
Therefore, Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.
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o, the point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around ________ frames per second. 16 - 20
The point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around 8 - 12 frames per second.
What is frames per second?The frequency (rate) at which consecutive images (frames) are captured or displayed is known as frame rate and is expressed in frames per second (FPS). The phrase is equally applicable to motion capture devices, computer graphics, and film and video cameras.
Frame frequency, also known as frame rate, is measured in hertz. Frame rate in electronic camera specifications may refer to the highest possible rate, whereas in practise, other settings (like exposure time), may reduce the frequency to a lower number.
Individual differences exist in both the type and properties of the visual stimulus as well as the temporal sensitivity and resolution of human vision. The human visual system can process 10–12 images per second, each of which is perceived individually; higher rates are interpreted as motion.
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A pulse can be described as a single wave disturbance that moves through a medium. Consider a pulse that is defined at time t=0. 00s by the equation y(x)=6. 00m3x2+2. 00m2 centered around x=0. 00m. The pulse moves with a velocity of v=3. 00m/s in the positive x-direction. (a) What is the amplitude of the pulse? (b) What is the equation of the pulse as a function of position and time? (c) Where is the pulse centered at time t=5. 00s?
The amplitude of the pulse is 3 m, the equation of the pulse as a function of position and time is y(x) = 6/{(x - 3t)² + 2} m and the pulse is 15 m centred at time t = 5. 00s.
y(x) = 6/(x² + 2)
v = 3 m/s
The amplitude(A) of the pulse:
When x= 0, Then y = A
Put x= 0
y(x) = 6/(x² + 2)
y(0) = 6/(0² + 2)
y = A = 3 m
Distance travel in time t
x = vt
x = 3 t
y(x) = 6/{(x - 3t)² + 2}
The distance covered by the pulse in the time 5 s
D = v t
D = 3 x 5
D = 15 m
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The half life of Sodium-24 is 15 hours. If we have 10 grams of Sodium-24, how much will remain after 15 hours?
Answer:
5 grams
Explanation:
15 hours = one half-life
a half-life is the time taken for the radioactive substance to reduce to half of its original value
thus in 15 hours, there will be 5 grams remaining
The specific heat of water is 4.18 J/(g·°C). How much energy is necessary to raise 15 g of water by 20 °C? (Use the equation Q = mcpΔT )
Answer:
1254 J
Explanation:
Applying,
Q = mcpΔT................... Equation 1
Where Q = heat, m = mass of water, cp = specific heat capacity of water, ΔT = Change in temperature.
From the question,
Given: m = 15 g, cp = 4.18 J/(g.°C), ΔT = 20°C
Substitute these values into equation 1
Q = 15×4.18×20
Q = 1254 J
Hence the amount of energy required is 1254 J
What is the SI unit of momentum?
Answer:
kgm/s(-1)
Explanation:
the units of momentum will be the product of the units of mass and velocity. Mass is measured in kg and velocity in ms-1, therefore, the SI unit of momentum will be kgm/s(-1).