Answer:
There is no change in motion it is constant
Explanation:
Balanced forces are equal in size and opposite in direction. When forces are balanced, there is no change in motion. In one of your situations in the last section, you pushed or pulled on an object from opposite directions but with the same force.
a large goose lands in a lake and bobs up and down for a short time. a fisherman notices that the first wave crest created by the goose reaches the shore 8.6 ss after the goose first contacts the water. the distance between two wave crests is 75 cmcm, and in 1.8 ss he sees four wave crests hit the shore.
The shore the goose landed 11.85m
Briefly:-For development of this problem we must resort to concepts of the basic kinematic equations that define the distance of a body, such as speed for a certain time, that is,
D=v*t
From the information is provided say that the distance between the cretas is= 0.6m,
Dcrets= .06m
In our information we have also that length between the first and the latest wave is in time terms of 2.2s. They are 4 waves in 3 intervals then
Dt= Dcrets*3= 2.4m
t= 1.6s
V= Dt/t
V= 1.5 m/s.
Then the distance from the shore is given by the speed of the waves for the total time. That is
X= v*t=11.85
the shore the goose landed X=11.8m
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What force causes a box in a moving car to accelerate?
The friction between the box and the floor of the car causes the box to accelerate with the car.
Friction is defined as the resistance offered by surfaces in contact as they move around each other.
Friction is caused by irregularities in the two surfaces that are in contact. So when one object moves over another, these irregularities in the surface become entangled, causing friction. The greater the roughness, the more irregularities and the more pronounced the friction.Friction can slow down a car as it moves down the road, but it's also the force that allows the car to move forward in the first place.
It is the frictional force that prevents the tires from sliding on the road. So it is the force of friction that makes the car accelerate forward and also slows down to a stop.If the floor of the car is frictionless, then the box would appear to move backwards, because the cabinet would actually be stationary while the car was moving away from it.
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you can improve the efficiency of a program by leaving a loop as soon as a match is found in the array. True or false
A program's efficiency can be increased by exiting a loop as soon as a match is discovered in the array.The given statement is true
What is programs efficiency?
The cost of producing goods or services in comparison to other programs or an ideal procedure is referred to as program efficiency. Analyzing expenses such as money, people, time, materials, etc. is related to cost effectiveness.
Program efficiency is the cost of producing goods or services in relation to other programs or an ideal technique. Cost effectiveness is related to the analysis of expenses such as cash, people, time, and materials, among other things.
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what is the total work wfric done on the block by the force of friction as the block moves a distance 7.00 m up the incline?
The total work done on the block by the force of friction is 14 J.
What is what done by friction force?The work done by a force of friction is obtained from the product of the force of friction and the displacement of the object.
Mathematically, the work done by force of friction is given as;
W = Fd
where;
F is the force of frictiond is the displacement of the objectThe given parameters include;
force of friction = 2 Ndisplacement of the block = 7 mThe total work done on the block by the force of friction is calculated as;
W = 2 N x 7 m
W = 14 J
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The complete question is below:
what is the total work wfric done on the block by the force of friction of 2 N as the block moves a distance 7.00 m up the incline?
Question: A nuclear power plant operates at 71 % of its maximum theoretical (Carnot) efficiency between temperatures of 635 ∘C and 300 ∘C.
If the plant produces electric energy at the rate of 1.2 GW , how much exhaust heat is discharged per hour? Express your answer using two significant figures.
If the plant produces the electrical energy at the rate of 1.2 GW then the exhaust hear discharged per hour will be 73280 Giga Joule.
What is Electrical energy?When put in an electromagnetic field, charged matter experiences a force due to the fundamental property of electric charge. Positive or negative electrical ions are possible.
When two charges are in opposition to one another, they repel one another. The term "neutral" refers to an object that has no net charge.
As per the given information in the question,
Temperature, T(L) = 300 °C
Temperature, T(H) = 635 °C
Use the equation of efficiency of the Carnot engine,
1 - T(L)/T(H) = 1 - 300/635
= 0.52
The energy produced is 1.2 GW.
This energy accounts for 75% of all theoretically created energy.
Assume that the total energy produced by the plant is x.
x × (71/100) = 1.2
x = 1.69 GW
So, the energy lost = 1.69 - 1.2 = 0.49 GW
Assume the total heat provided is y.
0.52 × y = 1.69GW
y = 3.2 GW
So, the energy lost in the engine = 3.2 - 1.69 = 1.56
So, total energy loss = 1.56 + 0.49 = 2.05 GW or,
2.05 × 60 × 60 = 73280 Giga Joule.
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if the molecular mass of a gas increases by a factor of 4 at constant temperature, its rms speed will
if the molecular mass of a gas increases by a factor of 4 at constant temperature, its rms speed is decrease by a factor of 2.
The mass of a given molecule is its molecular mass (m), which is expressed in Daltons. Because they contain various isotopes of an element, multiple molecules of the same substance can have distinct molecular weights. According to IUPAC, the related quantity relative molecular mass is a unitless comparison between the mass of a molecule and the unified atomic mass unit (also called the Dalton).. The molar mass, which is stated in g/mol, is defined as the mass of a specific material divided by the amount of a substance.As a result, the molecular mass is the mass of a single particle or molecule, while the molar mass is the average of numerous particles or molecules. When discussing macroscopic (weigh-able) amounts of a substance, the molar mass is typically the most relevant number.
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When does the popcorn have the greatest amount of PE and the least amount of kinetic KE?
*
A
B
C
D
E
Answer:
C
Explanation:
The arc of A-B-C-D-E has a peak at C where the KE will be near zero and the potential energy greatest
Find the kinetic energy KKK of the block at the moment labeled B.
Express your answer in terms of kkk and AAA.
The kinetic energy KKK of the block at the moment labeled B is 3/8kA^2.
Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
Kinetic energy is the energy a body has due to its motion. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.
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since the time of hubble, astronomers have learned that the blue color observed in some galaxies is the result of recent star formation. the blue regions can be seen in the following figure, where the color differences are schematically depicted. this interpretation has been confirmed by multiwavelength observations that have revealed the presence of star-forming gas clouds in galaxies hosting newly formed o-and b-type stars. sort the galaxy types according to their level of star-forming activity.
Many of the properties of galaxies (including the galaxy color–magnitude diagram) indicate that there are fundamentally two types of galaxies. These groups divide into blue star-forming galaxies that are more like spiral types, and red non-star forming galaxies that are more like elliptical galaxies.
In a spiral galaxy the interstellar medium makes up 3 to 5 percent of the galaxy’s mass, but within a spiral arm its mass fraction increases to about 20 percent. Spiral galaxies—of which the Milky Way system is a characteristic example—tend to be flattened, roughly circular systems with their constituent stars strongly concentrated along spiral arms.Elliptical galaxies have roundish shapes rather than the flattened distributions that characterize spiral galaxies, and they tend to occur in rich clusters (those containing thousands of members) rather than in the loose groups favoured by spirals. These systems exhibit certain characteristic properties. They have complete rotational symmetry; i.e., they are figures of revolution with two equal principal axes.
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match the terms with their definitions. matchtermdefinition instantaneous speeda) total distance covered divided by the total time required average speedb) rate of change of velocity with time accelerationc) rate of change of distance with time speedd) speed at a particular instant of time
Option B and C is the answer, A car's speedometer provides information about the vehicle's current instantaneous speed. It displays your speed at a certain point in time.
The speed of an item at a specific time is its instantaneous speed. The instantaneous velocity is obtained by adding the direction to the speed. In other words, this person's instantaneous velocity at that specific time was eight meters per second to the right. The speedometer on a car displays the vehicle's instantaneous speed since it does so while it is driving.
The complete question is :
which letter(s) of the sentences that are true of instantaneous speed?
a. Instantaneous speed is the total distance covered divided by
time.
b. Instantaneous speed is the speed at any instant.
c. The speedometer on a car shows the instantaneous speed.
d. If you traveled 30 kilometers in 1 hour, your instantaneous
speed would be 30 km/h.
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A steel ball of mass 0.500 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal (Fig 9-65). At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a frictionless surface The collision is elastic. Find
(a)the speed of the ball and (b) the speed of the block, both just after the collision.
(a) ball velocity = - 2.47 m/s
(b) block velocity = 1.236 m/s
What is collision?Two items collide when they briefly come into touch with one another. To put it another way, a collision is a brief reciprocal encounter between two masses in which the momentum and energy of the masses change.
For ball as it is at initially at height of 70.0 cm = 0.7 m
so by energy conservation,
K.E.(i) P.E.(i) + K.E.(f)+P.E.(f)
0 + mg×(0.7) = 1/2 mv² + 0
v = 3.71 m/s
now, collision b/w ball and block
as the block is in rest initially and there is no external force b/w them
so by momentum conservation,
m₁u₁+ m₂u₂ = m₁v₁+ m₂v₂
or, (0.5 x 3.71) + 0 = (0.5x v₁) + (2.5 x v₂)
3.71 = v₁ + 5v₂ .........(1)
as elastic collision so energy conservation
or, 1/2 m₁ u₁² + 1/2 m₂ u₂² = 1/2 m₁ v₁² + 1/2 m₂ v₂²
or, (1/2 x 0.5 x 3.712) + 0 = (1/2 x 0.5 x v₁²) + (1/2 x 2.5 x v₂²)
or, 3.433 = 0.25xv₁² + 1.25 v₂² ...............(2)
from eq. 1 and eq. 2
or, 3.433 = 0.25 x (3.71 - 5 v₂)² + 1.25v₂²
or, v² = 1.236 m/s
and v₁ = 3.71 - 5v₂
or, v₁ = - 2.47 m/s
so after collision
ball velocity = - 2.47 m/s [(-)ve x direction]
block velocity = 1.236 m/s [(+)ve x direction]
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A loop of wire is at the edge of a region of space containing a uniform magnetic field B. The plane of the loop is perpendicular to the magnetic field. Now the loop is pulled out of this region in such a way that the area A of the coil inside the magnetic field region is decreasing at the constant rate . That is, dA/dt=−c , with c >0 . The induced emf in the loop is measured to be V. What is the magnitude B of the magnetic field that the loop was in? Express your answer in terms of some or all of the variables A ,c , and V. Homework Equations :
ϵ=|dΦm.dt| Φm=AB ϵ=lvB
The magnitude of the magnetic filed B at the loop is found as V/c.
Explain the term magnetic flux?A measurement of a total magnetic field that traverses a specific area is called magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area.For the stated question-
The formula for magnetic flux;
Φ = BA
In which,
B = magnetic field A = areaNow,
Differentiate the flux with respect to time as putting B as constant;
dΦ/dt = B•dA/dt
Using Faraday's law, EMF induced is;
E = -dΦ/dt
However, we prefer to describe it in terms of V and E.M.F., which are also used to refer to voltage or potential difference.
V = -dΦ/dt
Thus, potential difference be-
-V = B•dA/dt
In term of a given area dA/dt = - c
-V = B•(-c)
V = Bc
B = V/c
Therefore, the magnitude of the magnetic filed B at the loop is found as V/c.
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The correct question is attached.
determine the mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point o . the material has a mass per unit area of 28 kg/m2 . (figure 1)
The mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point O is 0.113kgm^2
Two sections of the plate are possible. Segment (2) should be viewed as a negative part because it is a hole. The perpendicular distances from each segment's center of mass to point O are also shown.
The formula used to calculate the moment of inertia of segments (1) and (2). is Mass Moment of Inertia
m1 = π(0.2^2)(28) = 3.51kg
m2 = (0.2)(0.2)(28) = 1.12 kg
The parallel-axis theorem can be used to calculate the plate's moment of inertia for each segment along an axis perpendicular to the page and passing through point O.
I = ΣI' + md^2
I = [1/2x(3.51)x(0.2 )^2+3.51x(0.2 )^2]–[ 1/12x(0.8)x(0.2^2 + 0.2^2)+0.8x(0.2)^2]
I = 0.113kg⋅m^2
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The three pairs of metal same-size spheres have different charges on their surfaces, as indicated. Each pair is brought together, allowed to touch, and then separated. Rank from greatest to least the total amount of charge on the pairs of spheres after separation.
A) +6 +2
B) +6 -2
C) +6
After separation, the pairs of spheres' total charges will be in the following order: Qa -> Qc -> Qb.
How to find The Calculation?As specified in the query, here
Each pair is introduced, allowed to touch, and then separated.
which refers to payment via sharing.
The charge by sharing formula is Q = Q1 + Q2 / 2.
As a result, Pair A
Qa = +6+(+2)/2 = 4 represents the total charge for each pair.
Pair B
Qb = +6+(-2)/2 =2.
Pair C
Qc = +6+(0) / 2 =3.As a result, Qa -> Qc -> Qb will be the order of the total amount of charge on the pairs of spheres after separation, from greatest to least.
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❧ What are Convex Mirrors?
❧ What are Concave Mirrors?
Answer:
Spherical mirrors whose inner side is reflecting are called concave mirrors. Spherical mirrors whose outer side is reflecting are called convex mirrors.
Explanation:
If a spiral galaxy didn't contain any dark matter at all,
A. its rotation curve would still be flat at large distances.
B. its rotation curve would be decreasing with distance beyond the center of the galaxy.
C. its rotation curve would continue to increase with distance, in correlation to the encircled mass.
B
Its rotation curve would be decreasing with distance beyond the center of the galaxy. Option B.
The stellar mass distribution does not take into account the rotation curve of the galaxy. If a spiral galaxy contained no dark matter at all, its rotation curve would decrease away from the center of the galaxy. This and other evidence have led us to develop our dark matter theory.
Dark matter can only be detected astronomically by its gravitational influence on stars and gases. Dark matter rotates the outer part of the galaxy faster than starlight suggests. This causes the galaxies in the cluster to orbit faster than expected from the combination of galactic starlight. Spiral galaxy rotation curves are the most important tool for determining the mass distribution of spiral galaxies.
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you cut one of these plasmids simultaneously with enzymes a and b, and obtain the following gel (cut product loaded in lane 1): Which plasmid is it that you cut?A. Plasmid 1B. Plasmid 2C. Plasmid 3D. Plasmid 4
The cuts on the plasmid are done via restriction enzymes which are also known as molecular scissors. (B) Plasmid 2 is the one that got cut by the restriction enzyme.
What is the Plasmid?A plasmid is a type of double-stranded, circular, tiny DNA molecule that differs from a cell's chromosomal DNA. Both bacterial and certain eukaryotic cells naturally contain plasmids. Plasmids frequently carry genes that give bacteria genetic advantages like antibiotic resistance.
What is the Restriction enzyme?An isolated bacterial protein known as a restriction enzyme cleaves DNA at sequence-specific locations to create DNA fragments with a known sequence at each end. For several laboratory techniques, such as genetic engineering and recombinant DNA technologies, restriction enzymes are essential.
Hence, the cuts on the plasmid are done via restriction enzymes which are also known as molecular scissors. (B) Plasmid 2 is the one that got cut by the restriction enzyme.
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to construct a nonmechanical water meter, a 0.500-t magnetic field is placed across the pipe supplying water to a home, and the hall voltage between the ends of a pipe diameter perpendicular to the field is measured. this works, because water contains ions, which are charged particles and move at the flow speed of the water.
Required:
a. Find the flow rate through a 3.00-cm-diameter pipe if the Hall voltage is 60.0 mV.
b. What would the Hall voltage be for the same flow rate through a 10.0-cm-diameter pipe with the same field applied?
The flow rate and hall voltage of non mechanical water meter is 0.339m/s and 1592.3volt respectively.
Flow rate equations depends on intensive study of fluid mechanics.
a]. flow rate =V/B x A= 60/0.500 x 3.14 x 0.03²=0.339m/s
V is hall voltage , B is magnetic field and A is cross sectional area.
The Hall effect principle describes the behavior of charge carriers when exposed to electric and magnetic fields. This principle can be viewed as an extension of the Lorentz force, which is the force acting on charge carriers (electrons and holes) passing through a magnetic field.
The Hall effect principle states that when a conductor or semiconductor is introduced with current flowing in a direction perpendicular to the magnetic field, voltage can be measured perpendicular to the current path.
b]. V=M/A=0.500/(3.14 x 0.01²) =1592.3volt
The effect of obtaining a measurable voltage as described above is called the Hall effect.
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A mixture of colloids, clay, silt, sand, pebbles, and cobbles is put into stream I at point A. The water
velocity at point A is 400 centimeters per second. A similar mixture of particles is put into stream II at
point A. The water velocity in stream II at point A is 80 centimeters per second.
Which statement best describes what happens when the particles are placed in the streams?
A) Stream I will move all particles that are added at point A.
B) Stream II will move all particles that are added at point A.
C) Stream I cannot move sand.
D) Stream II cannot move sand.
A combination of colloids, clay, silt, sand, pebbles, and cobbles is positioned into the move I at factor A. The water choice B) stream II will pass all debris that might be added at point A.
Circulation speed is the velocity of the water inside the flow. units are distance in step with time (e.g., meters in keeping with second or feet in keeping with second). movement speed is best in midstream close to the surface and is slowest alongside the movement mattress and banks due to friction.
Larger particles are much more likely to fall through the upward currents to the lowest, until the flow price increases, growing the turbulence on the streambed. in addition, suspended sediment will no longer always remain suspended if the drift charge slows.
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a distortion of the shape of four-dimensional spacetime. a distortion of the shape of three-dimensional space. a force that acts through the action of photons at the speed of light. a force that acts through the action of gravitons that travel instantaneously.
Just as waves spread out when a boat moves in water or a stone is thrown in a pond, gravitational waves are distortions in the curvature of space-time caused by motions of matter that propagate with the speed of light.
It turns out that one type of gluon chain behaves in the four-dimensional spacetime as the graviton, the fundamental quantum particle of gravity. In this description, gravity in four dimensions is an emergent phenomenon arising from particle interactions in a gravityless, three-dimensional world.
Since matter carries energy, such objects will have a gravitational field and so they will distort space-time. So one way in which a charge or a magnet will distort space-time is by virtue of its matter.
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Based on the number of galaxies visible in the Hubble eXtreme Deep Field (Figure 16.1 in your text), the estimated number of galaxies in our observable universe is at least ______.100 million50,000100 billioninfinity
Based on the number of galaxies visible in the Hubble eXtreme Deep Field, the estimated number of galaxies in our observable universe is at least 100 billion.
The Hubble eXtreme Deep Field contains an estimated 10,000 galaxies, representing a tiny fraction of the estimated 100 billion galaxies that make up our observable universe. Beyond that, the universe is thought to be infinite, making the total number of galaxies impossible to count.
Therefore the correct option in this question is C which is 100 billion.
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Part A
Consider the situation in the figure below, where two charged rods are placed a distance d on either side of an aluminum can. What does the can do?
View Available Hint(s)
Rolls to the left
Stays still
Rolls to the right
Part B
Now, consider the situation shown in the figure below. What does the can do?
Stays still
Rolls to the left
Rolls to the right
Part C
Using the setup trom the first question, imagine that you brielly touch the negatively charged rod to the can. You then hoid the two rods at equal distances or either side of the can. What does the can do?
View Avallable Hint(s)
Rolls toward the positively charged rod
Does not move
Rolls away from the positively charged rod
a) The can stays still
b) The can stays still
c) The can moves towards the positive rod
What is electrostatic force?We know that the electrostatic force is the force that attracts an object is the force that induces a charge on an object even though the objects do not touch each other. In all the cases that are shown in the images there is no contact between the charged bodies and the can.
In all the cases, we see that immediately the charged object is brought around the can, the object would cause the the electrons that are in the can to become polarized. It is the polarization of the electrons that are in the can that would make the can to move.
The movement of the can would be with reference to the kind of charges that are on the surrounding rods as well as the charges that are on the rods that have been brought around the can.
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A charged insulator can be discharged by passing it just above a flame. This is because the flame
A warms it
B dries it
C contains carbon dioxide
D contains ions
Passing an insulator just over a flame will cause it to discharge if it is charged. This is due to the presence of ions in the flame.
The Correct Answer is D.
What does a ion contain?An atom is referred to as an ION when it is drawn to another atom as a result of having an uneven number of protons and electrons. It is referred to be an anion or a negative ion if the atom contains more electrons than protons. An ion is a positive ion if it has more protons than electrons.A solution that typically has ions—atoms or molecules that have received or lost electrons—and is electrically conductive is referred to as an electrolyte solution. However, there are some situations when the electrolytes are not ions, despite the fact that they are frequently referred to as ionic solutions for this reason.To Learn more About ions refer To:
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aftershocks are very dangerous because: multiple choice they occur in random patterns unrelated to the location of the main quake. they are usually larger than the original earthquake. they nearly always generate a tsunami. they collapse structures damaged by the main quake.
Aftershocks are very dangerous because they collapse structures damaged by the main earthquake.
When an earthquake occurs, they usually tends to break the base of the structures.
This phenomena makes the structure very weak.
The aftershock that are generated because of the main earthquake breaks the already weak structures completely.
If there are any chances of survival of any mankind after the main earthquake, they are completely eliminated because of the after shocks created. This is why we can conclude that aftershocks are very dangerous because of their tendency to collapse the structure damaged by the earthquake.
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Electric resistance in copper wire changes with the temperature of the wire. If C(t) is the electric resistance at temperature t, in degrees Fahrenheit, then the resistance ratio C(t)/C(0) can be measured. Temperature t c (t) ? ratio in degrees C(0) 0 10 1.0393 20 1.0798 30 1.1215 40 1.1644 (a) Use regression to find a quadratic formula for the ratio C(t)/C(O) as a function of temperature t. Do not round the regression parameters. c(t) - CO) (b) At what temperature is the electric resistance double that at o degrees? (Round your answer to two decimal places.) t= (c) Suppose that you have designed a household appliance to be used at room temperature (71 degrees) and you need to have the wire resistance inside the appliance accurate to plus or minus 10% of the predicted resistance at 71 degrees. (i) What resistance ratio do you predict at 71 degrees? (Use four decimal places.)
Previous question
The quadratic equation for the resistance ratio is 6E-06 t^2 + 0.00341t +1.
The temperature at which electric resistance would be double is 293.25 Fahrenheit.
Resistance predicted at 71 degrees is 1.2724.
What is resistance ratio?
The resistance ratio is the difference between the thermometer's resistance at the ice point and its resistance at a given temperature (t) (t0).
Temp t
in
degrees
(x) c(t) / c(0) (y) (x)2 (x)3 (x)4 xy x2 y
0 1 0 0 0 0 0
10 1.0393 100 1000 10000 10.393 103.93
20 1.0798 400 8000 16000 21.596 431.92
30 1.1215 900 27000 81000 33.645 1009.35
40 1.1644 1600 64000 2560000 46.576 1863.04
sum =100 5.405 3000 100000 2667000 112.21 3408.24
a. To calculate equation in the form of y = ax^2 + bx +c
Substituting the values calculated above in the formula
= 112.21 - (100*5.405) /5 =4.11
= 100000 - (3000*100)/5 =40000
= 2667000 -1800000 = 867000
a = { [ Σ x2 y * Σ xx ] - [Σ xy * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }
= 6E-06
b = { [ Σ xy * Σ x2x2 ] - [Σ x2y * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }
= 0.00341
c = [ Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x 2 / n ] } = 1.012
So the equation is c(t)/c(0) = 6E-06 t^2 + 0.00341t +1
b). c(t)/c(0) =2
Putting in the quadratic equation found above-
2 = 6E-06 t^2 + 0.00341t +1
1 = 0.00341t (neglecting the square term)
t = 293.25 fahrenheit
c). at 71 degrees
c(t)/c(0) = 0.030246+0.24211+1.012
= 1.27235
Resistance predicted at 71 degrees = 1.2724
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heat flows from cold to hot. in both directions. from hot to cold. nonsense, heat does not flow, it is temperature that flows.T/F
The given statement that heat flows from cold to hot body and hot to cold body, in both directions is false.
Heat transfer occurs any time there is a temperature differential between two states of matter. Only heat transmission from a hot object to a cold object, or in the other direction, occurs. Heat will flow so as to equalize the temperature throughout the objects and till they attain thermal equilibrium.
We understand that the entropy of a closed system can never increase according to the second rule of thermodynamics.
Inferring that heat will always move from a state of higher temperature to a state of lower temperature from this law.
Heat is a form of energy. The system's hotter atoms will absorb more heat energy, which will cause them to vibrate more vigorously.
The atoms or molecules in the system with the lower temperature are not vibrating because of their lower temperature.
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What is 4-dimensional Euclidean space?
How can there be 4 mutually perpendicular directions?
In mathematics, a Euclidean space is a geometric space in which the distance between two points is measured using the Euclidean distance formula. In 4-dimensional Euclidean space, there are 4 mutually perpendicular directions, which are commonly referred to as the x, y, z, and w directions. These directions are perpendicular to each other, meaning that they form right angles with one another.
The concept of 4-dimensional Euclidean space can be difficult to visualize, as it is a concept that exists beyond our everyday three-dimensional world. However, we can think of it as an extension of three-dimensional space, in which there is an additional direction (the w direction) that is perpendicular to the x, y, and z directions. This additional direction allows for the representation of additional information or variables in the space.
For example, in four-dimensional Euclidean space, we could represent the position of a point using four coordinates (x, y, z, w) rather than just three (x, y, z). This additional coordinate could represent a variety of different quantities, such as time, energy, or some other physical property.
As the text discusses the conservation of linear momentum is applicable only when the system of objects is an isolated system. Which of the systems listed below are isolated systems? 1) A ball is dropped from the top of a building. The system is the ball. 2) A ball is dropped from the top of a building. The system is the ball and the earth. 3) A billiard ball collides with a stationary billiard ball on a frictionless pool table. The system is the moving ball. 4) A car slides to a halt in an emergency. The system is the car. 5) A space probe is moving in deep space where gravitational and other forces are negligible. The system is the space probe. O 3&5 O 1 & 3 O2 O 2 & 5 O 2 & 4
The correct answer for the isolated systems is options 2 & 4.
2) A ball is dropped from the top of a building. The system is the ball and the earth.
4) A car slides to a halt in an emergency. The system is the car.
In both of these systems, the isolated system is the object in motion, either the ball dropped from the top of the building or the car sliding to a halt in an emergency. The conservation of linear momentum is applicable because the system does not interact with any external forces or objects.
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The reason a tennis ball and a solid steel ball will accelerate at the same rate in the absence of air resistance is because why?
The reason a tennis ball and a solid steel ball will accelerate at the same rate in the absence of air resistance is because the net force to mass ratio is the same for both objects.
What is air resistance?Air resistance is described as the forces that are in opposition to the relative motion of an object as it passes through the air.
The units for the force of air resistance are in Newtons (N).
Air resistance can be gotten by taking air density times the drag coefficient times area all over two, and then multiply by velocity squared.
So we can conclude that in the absence of air resistance, the horizontal velocity of the body is unaffected by any other external force as the only force which acts on the ball is gravity.
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7. The vectors d &e are [- 4, 1] \&[1,4] respectively. Find the angle b/n d&e( use dot product)
Answer:
90° or π/2 rad
Explanation:
Given two vectors:
[tex] \displaystyle{ \vec d = - 4 \hat i + \hat j} \ \: \text{and} \ \: \displaystyle{ \vec e = \hat i + 4 \hat j}[/tex]
We can find the angle by applying dot product:
[tex] \displaystyle{ \vec d \cdot \vec e = | \vec d| | \vec e| \cos \theta}[/tex]
Find magnitude of two vectors:
[tex] \displaystyle{ | \vec d| = \sqrt{ {( - 4)}^{2} + {1}^{2} }} \\ \\ \displaystyle{ | \vec d | = \sqrt{16 + 1} = \sqrt{17} }[/tex]
And
[tex] \displaystyle{ | \vec e| = \sqrt{ 1^{2} + {4}^{2} }} \\ \\ \displaystyle{ | \vec e | = \sqrt{1 + 16} = \sqrt{17} }[/tex]
Thus, we now have:
[tex] \displaystyle{ \vec d \cdot \vec e = \sqrt{17} \cdot \sqrt{17} \cos \theta} \\ \\ \displaystyle{ \vec d \cdot \vec e = 17 \cos \theta}[/tex]
Product of two vectors are:
[tex] \displaystyle{ \vec d \cdot \vec e = d_xe_x + d_ye_y}[/tex]
Therefore:
[tex] \displaystyle{( - 4)(1) + (1)(4) = 17 \cos \theta} \\ \\ \displaystyle{ - 4 +4= 17 \cos \theta} \\ \\ \displaystyle{0= 17 \cos \theta} \\ \\ \displaystyle{0 =\cos \theta}[/tex]
Therefore, the angle would be 90° or π/2 since we know that cos90° = 0.
