The temperature of the transformer after the transformer has been in operation for several hours at the given resistance is 21.2 degrees Celsius.
Relationship between resistance and temperature
The relationship between resistance and temperature is given as;
R = R₀( 1 + αΔθ)
From the first resistance, we will have the following equation,
R₁ = R₀( 1 + αΔθ)
50 = R₀(1 + 15α) ------ (1)
From the second resistance, we will have the following equation,
58 = R₀(1 + αT) ------ (2)
Divide (1) by (2)
[tex]\frac{50}{58} = \frac{R_0(1 + 15\alpha)}{R_0(1 + T\alpha)} \\\\\frac{50}{58} = \frac{(1 + 15\alpha)}{(1 + T\alpha)} \\\\50(1 + T\alpha) = 58(1 + 15\alpha)\\\\50 + 50T\alpha = 58 + 870\alpha \\\\50(0.0425)T = (58- 50) + 870(0.0425)\\\\2.125T = 44.975\\\\T = 21.2\ ^0C[/tex]
Thus, the temperature of the transformer after the transformer has been in operation for several hours at the given resistance is 21.2 degrees Celsius.
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Seawater is full of moving molecules that pos-
sess kinetic energy.
Could we extract some of this energy from
seawater?
5
G
1. Yes, by boiling the seawater into steam.
2. Yes, by putting the seawater into contact
with something cooler.
3. No, the kinetic energy is unusable.?
4. Yes, by putting the seawater into contact
with something hotter
No, the kinetic energy of the moving molecules in the sea water cannot be extracted for use. Details about kinetic energy can be found below.
What is kinetic energy?Kinetic energy is a form of energy that is produced as a result of motion i.e. it is the energy possessed by a moving body.
This means that the kinetic energy of a moving body is specific to that body and dependent on the movement of that body. The kinetic energy is quickly converted to potential energy once the body stops moving.
Therefore, the kinetic energy of the moving molecules in the sea water cannot be extracted for use.
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write an equation to calculate the force between two
objects if the product of their charges is 1.0 x 10'C.(Note: Use
the variable R for the distance between the charges.)
F =
The rule is
[tex]\\ \rm\Rrightarrow F=k\dfrac{q_1q_2}{R^2}[/tex]
Product of charges is givenPut that
[tex]\\ \rm\Rrightarrow F=\dfrac{k(1.0\times 10'C)}{R^2}[/tex]
The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².
What is meant by electric force ?Electric force is defined as the attraction or repelling force that exists between any two charged objects.
Here,
The product of the charges on the objects, q₁ x q₂ = 1 x 10' C²
Distance between the charges = R
According to Coulomb's law,
The electrostatic force,
F ∝ q²
F ∝ 1/R²
Therefore,
F = (1/4πε₀)(q₁q₂)/R²
where ε₀ is the permittivity of free space.
F = (1/4πε₀)(1 x 10')/R²
Hence,
The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².
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How many seconds will it take a 75 W motor to lift 5 kg of apples to a height of 3 meters?
Answer:
It is not possible to calculate the time it took to go up to 3 meters.
Explanation:
There are all forces that apply to this situation like gravity, friction, torque, and efficiency. To answer this question, I might need the specifications given before to answer this question.
it the satellite is put into a new circular orbit of a smaller radius, how will the Fo and the speed of the satellite change, if at all?
A Both gravitational force and speed will decrease
OB. The gravitational force will decrease and speed will increase
O c The gravitational force will increase and speed will decrease
OD. Both gravitational force and speed will increase
OD
Explanation:
both gravitational force and speed will increase
The gravitational force will increase and speed will decrease. So, the correct option is c.
What is meant by gravitational force ?Any two objects in the universe are attracted towards each other by the gravitational force, regardless of whether their masses are equal or not.
Here,
Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.
So, the gravitational force of the satellite,
F ∝ 1/R²
where R is the radius of the circular orbit.
The equation for speed of the satellite is given by,
v = √Rg
where g is the acceleration due to gravity.
So, the speed is directly proportional to the square root of the radius of the orbit.
v ∝ √R
Therefore, as a result of the decrease in the radius of the orbit, the gravitational force of the satellite will increase, and its speed will decrease.
Hence,
The gravitational force will increase and speed will decrease.
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what is the resultant velocity of a point of x-component Vx = t^3 - 1 and y-component Vy = t^2 - t at time t =4?
With the use of formula, the resultant velocity is 64 m/s approximately.
VelocityVelocity is the distance travelled in a specific direction per time taken. Velocity is a vector quantity. It can be represented in a vector diagram.
The S.I unit of velocity is meter per second. That is, m/s
Given that the coordinate velocity of a point of x-component Vx = t^3 - 1 and y-component Vy = t^2 - t at time t = 4. The resultant velocity of this point can be calculated by using the below formula.
[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]
Where
[tex]V_{R}[/tex] = Resultant Velocity[tex]V_{x}[/tex] = x - component of the velocity[tex]V_{y}[/tex] = y - component of the velocitySince time t = 4s.
For x - component,
[tex]V_{x}[/tex] = [tex]t^{3}[/tex] - 1
[tex]V_{x}[/tex] = [tex]4^{3}[/tex] - 1
[tex]V_{x}[/tex] = 64 - 1
[tex]V_{x}[/tex] = 63 m/s
For y - component
[tex]V_{y}[/tex] = [tex]t^{2}[/tex] - t
[tex]V_{y}[/tex] = [tex]4^{2}[/tex] - 4
[tex]V_{y}[/tex] = 16 - 4
[tex]V_{y}[/tex] = 12 m/s
[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]
[tex]V_{R}[/tex] = [tex]\sqrt{63^{2} + 12^{2} }[/tex]
[tex]V_{R}[/tex] = [tex]\sqrt{4113}[/tex]
[tex]V_{R}[/tex] = 64.13 m/s
Therefore, the resultant velocity on that point is 64.13 m/s
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What is TRUE about the use of drawings at a crime scene?
O A. Drawings are no longer used because photography is more precise.
OB. Only when a camera is not immediately available should a sketch be made.
O c.
It is common practice for investigators to make a sketch of a crime scene.
OD. Investigators are trained in how to make a quality finished sketch of a scene.
Answer:
A. Drawings are no longer used because photography is more precise.
Explanation:
It is common practice for investigators to make a sketch of a crime scene.
Creating sketches of crime scenes is a common practice among investigators, as it provides valuable visual documentation that complements photographs and written notes. While photography is an important tool for capturing detailed and precise information, sketches offer unique advantages that contribute to the overall understanding of the crime scene.
Sketches can provide a clear and organized representation of the spatial relationships, distances, and dimensions within the crime scene. They can accurately depict the layout of the area, the position of evidence, the location of key objects, and other relevant details that may not be fully captured by photographs alone.
Additionally, sketches allow investigators to emphasize specific features or elements that are essential to the case. This can aid in explaining the sequence of events, the movement of individuals or objects, and other dynamic aspects of the crime scene.
While digital photography is widely used today, sketches remain valuable for scenarios where a camera may not immediately be available, when capturing certain angles or perspectives is challenging, or when highlighting specific details is necessary.
Investigators are trained in creating accurate and detailed sketches that adhere to professional standards. This includes ensuring accurate measurements, using appropriate scale ratios, labeling key features, and maintaining object proportions. Sketched crime scene diagrams are often included in official investigative reports and court proceedings to provide a comprehensive visual representation of the crime scene, enhancing the communication of information among investigators, legal professionals, and jurors.
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Why do you not want to stand still when on offense?
Question 2 options:
It makes you very easy to cover.
Your coach will take you out of the game.
Its lazy.
It makes it harder for the defense to cover you.
It makes it harder for the defense to cover you.
1. What conclusions can you draw about how the sum of forces acting on an object affect its motion?
Answer:
The sum of all the forces acting on an object is the net force or resultant force. If all the forces cancel out, the resultant force is zero, else, the unbalanced force will cause acceleration of the object. Force is a vector and hence has both a direction and magnitude. For example, gravitational force (on earth) acts in downward direction and has a magnitude equal to mass of the object and acceleration due to gravity. Once we know all the forces that are acting on a body, we resolve all of them into components (typically horizontal and vertical) and take summation of forces in each direction. If such forces cancel out (in each direction), the object maintains its state of rest or constant motion. If however, forces do not cancel out, there is a net resultant force on the object that will cause acceleration of the object (as given by Newton's second law of motion).
Explanation:
A 82.9 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 670 (food) calories. How high must the person climb? The acceleration due to gravity is 9.8 m/s2 and 1 food calorie is 10^3 calories.
The weight watcher must climb : 3.45 km to work off the equivalent of a large piece of chocolate cake rated at 670 calories.
Determine how high the weight-watcher must climbFirst step : convert the energy to joules
670 calories to Joules
E = 670 * 10³ * 4.184
= 2803280 J
Next step : Equate energy to gravitational potential energy
2803280 J = mgh
2803280 = 82.9 * 9.8 * h
Therefore :
h = 2803280 / ( 812.42 )
= 3451 m = 3.45 Km
Hence we can conclude that The weight watcher must climb : 3.45 km
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If an input force of 202 N is applied to the handles of the wheelbarrow with
mechanical advantage 300, how large is the output force that just lifts the load?
Answer:
60600N
Explanation:
lnput =effort=202 N
mechanical advantage =300 and it's a ratio of load to effort but output force= load=? so substituting in the formula MA=L÷E we get the answer 60600NA body of mass 2.00 kg is pushed straight upward by a 25.0 N vertical force. What is its acceleration
The acceleration on a body of mass 2kg with a force of 25N is 12.5 m/s^2
Mass and AccelerationGiven Data
Mass = 2 kgForce = 25NWe know that the expression for the Relationship between force acceleration and Mass is given as
F = ma----------------1
Substituting our given data into the expression we have
25 = 2*a
Making acceleration the subject of the formula we have
a = 25/2
a = 12.5 m/s^2
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Which statement is the best description of force?
• A. It always acts at a distance.
•
B. It can cause an object to accelerate.
•
C. It can give an object more mass.
• D. It can only act between two objects that are touching each other.
Answer:
B
Explanation:
force is anything that causes an object in motion to stop,an object at rest to move and an object moving in uniform direction
to change its positionThe diagram below show the earth and the sun, as well as four different possible positions for the moon (Z, W, X, and Y). Where will the moon be during a SOLAR eclipse as seen from Earth?
The diagram below shows four coastline locations on Earth with respect to the moon and sun at a given
Question 3 options:
Z
W
X
Y
Answer: Z
Explanation: I took the quiz!! :3
During a solar eclipse as seen from Earth, the moon will be at the position Z.
What is meant by solar eclipse ?When the Moon moves in front of the Sun, obstructing the Sun's view for a small portion of the Earth either completely or partially, this is known as a solar eclipse.
Here,
When the Moon is in its new moon phase, when its orbital plane is closest to that of the Earth's, and during eclipse season, such an alignment takes place roughly every six months. The Sun's disc is completely covered by the Moon during a total eclipse. The Sun is only partially covered by annular and partial eclipses. A solar eclipse can only be seen from a relatively restricted area of the earth, in contrast to a lunar eclipse, which can be seen from anyplace on the night side of Earth.
The Moon is parallel to the line connecting the Earth and the Sun at its first and final quarters. Only one-half of the Moon is visible to us as being illuminated by the Sun; the other one-half is hidden in shadow.
Hence,
During a solar eclipse as seen from Earth, the moon will be at the position Z.
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A car is traveling at a constant speed on the highway. Its tires have a diameter of 68.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s , what is the speed of the car?
Answer:
37.4m/s
Explanation:
since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:
v=55*0.68
v=37.40
if relative density is equal to 1 then the substance would sink in water ..true or false
relative density is equal to 1 then the substance would sink in water
How is intelligence generally defined? Based on your reading, what do you think about the concept of intelligence and the ability to both define and measure it?
Intelligence is generally defined by the Individual IQ tests. Individual IQ tests are often administered by psychologists and take an hour to an hour and a half to complete.
What is intelligence ?The capacity for abstraction, logic, comprehension, emotional knowledge, reasoning, organization, creativity, rational reasoning, are all examples of intelligence.
Personal intellect or Intelligence quotient, given one-on-one by a psychotherapist, are the preferred process of measuring intellect.
Individual IQ tests are often administered by psychologists and take an hour to an hour and a half to complete.
Hence Intelligence is generally defined by the Individual IQ tests
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Using Newton's Second Law of Motion how does the difference in mass and force affect acceleration?
400kg Force 40kg MASS C Force
Explanation:
Let & mean "is proportional to"
F & [m(V - Vo)]/∆t
We can see that increase in the applied force equals increase in the change in momentum (increase in change of velocity).
Also,
An increase in the mass of the object requires more force to be applied for work to be done.
What are the benefits, mechanisms and limitations of explaining, modelling and describing the material cosmos?
The study of the cosmos provides scientists with a knowledge of the material universe although limited due to lack accurate tools and equipments for the study of the cosmos.
What is the cosmos?The cosmos refers to the entire universe including the things found in them.
Understanding and explaining the universe has as always been of interest to humans both ancient and model.
Humans in ancient times earlier modelled the earth to be the centre of the universe known as the geocentric model.
A heliocentric model was proposed later to replace the geocentric model.
Both ways of modelling was limited as cosmologists did not have the tools to accurately observe outer space.
Today, advances in technology has provided powerful tool to ore accurately model the cosmos.
Therefore, the study of the cosmos provided humans with a knowledge of the material universe though limitations of accurate tools and equipments for the study of the cosmos still exist.
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Increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb. Group of answer choices True False
Increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].
Series circuitA series circuit is a type of circuit arrangement, where the same current flows in each resistor of the circuit. Also Different voltage flow in each resistor of the circuit.
The total voltage drop in a series circuit is given as;
V = IR₁ + IR₂ + IR₃ + ----
V = I(R₁ + R₂ + R₃)
From the above equation, increase in the number of resistance, increases the voltage drop.
Thus, increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].
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If it takes a wave on the ocean 95.2 seconds to pass by the point of a rock, what is the frequency with which the waves are passing by to the nearest two decimal places?
Answer:
.01 Hz
Explanation:
f = 1/period
= 1 / 95.2 = .01 Hz
Is there friction in 0 gravity?
Answer:
yes.
Explanation:
Friction exists in space, just that not in the most familiar cases. Walking or rolling are not normally possible without gravity pushing both bodies in contact with a normal force. However the normal force does not have to be only gravity, it could be caused by pressure or some other force (thrusters, magnetism etc).
Hope this helped! Have a nice day!
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Dont let the pirates get ya!
- Jaron, King of Carthya.
What happens to an object's kinetic energy as it falls from some height?
Answer:
The objects kinetic energy increases as it falls from some height.
If a galaxy is 200,000 light-years away from the earth, when was the light (that we now see) emitted?
Answer:
because it goes unlimited and goes as far as the astronomy asteroid belt goes
How many grams of C are in
1.7 x 10^24 atoms of C?
1 mol = 6.022 × 10^23 atoms
1.7 x 10^24 x 1/(6.022 × 10^23) = 2.823 mol
Carbon has an atomic weight of 12.011 (grams per mol)
2.823 x 12.011 = 33.907053 g
Hope I'm right!
Calculate the wavelength (in m) of a 589 Hz sound in air at room temperature and pressure where the velocity of sound is 344 m/s.
Answer:
just use the formula λ = v/f
Explanation:
v = velocity
f = frequency
why do some motor vehicles contain graphite
Answer:
Some motor tyre contain Graphite to contain friction.
Answer:
to contain friction
Explanation:
what happens to the resistance of two resistors when connected in series circuit
Answer:
increases as more components are added.
Find the focal length of a concave mirror that produces four times larger real image of an object held at 5cm from the mirror.
Answer:
6.67 cm
Explanation:
Given
h (image) = 4 x h (object)Finding magnification
m = h (image) / h (object)m = 4 x h (object) / h (object)m = + 4.0Finding image distance
m = - (image distance / object distance)4 = - (v / 5)4 = -v/5v = -20v = -20 cmMirror formula
1/f = 1/v + 1/uSolving
1/f = 1/-20 + 1/51/f = -1 + 4/201/f = 3/20f = 20/3 cmf = 6.67 cmA skier at the bottom of a hill has 900J of kinetic energy. After sliding a ways along the flat, the kinetic energy is 300J. How much energy was lost due to friction?
Answer:
600 J
Explanation:
900 j = 300j = 600 j lost due to friction
Energy lost due to friction is 600 J.
The kinetic energy before and after friction is given as 900J and 300J.
What is friction?The force that resists the sliding or rolling over one object with another is called friction. The energy which possess in virtue of being in motion is said to be Kinetic Energy.
f = μN
Energy lost = 900J - 300J
= 600J
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Why is water often called the "universal solvent"? A. A large amount of energy is needed to raise its temperature. B. It remains a liquid over a wide range of temperatures. C. Many different substances can dissolve in it. D. Strong forces of cohesion allow it to form drops.
Answer:
C
Explanation: