Eudora used her jetpack for around 1.5 hours of flying and 0.5 hours of jogging.
Given: Eudora moved at an average pace of 12 km/h as she sprinted from her house to her underground laboratory. She then hopped into one of her jetpacks and soared 76 km/h to her school. Eudora covered 120 kilometres in all, and the journey took her two hours.
To determine: How much time Eudora spent running and how much time she spent using her jetpack to fly
Solution:
If she utilised the jet pack for x seconds, then
76x + 12 (2-x) = 120
76x + 24 – 12x = 120
x = 96/64
x= 1.5
She spent 0.5 hours running, thus when we simplify, x = 1.5 hours.
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a parallel-plate capacitor is charged to a total charge q and the battery is removed. a slab of material with dielectric constant k is inserted between the plates. the energy stored in the capacitor 1) increases 2) decreases 3) stays the same
When a dielectric slab is placed between a parallel-plate capacitor energy stored in it will decrease.
The parallel plate capacitor is a device that uses two parallel plates connected across a battery to create an electric field between them. Before the dielectric breaks down, a parallel plate capacitor can only hold a certain amount of energy. Draw a parallel plate capacitor and a slab with dielectric constant K between this capacitor. In capacitors, the energy stored is given by the formula U = 1/2 CV² where C is the capacitance and V is the potential difference. From this formula, we can tell that U is directly proportional to V. When V decreases, U also decreases. This is because dielectric reduces the electric field between the plates and decreases the energy stored in the field. Therefore, the option is 2) decreases.
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protect the attack line from minor flare-ups. get the next length to the appropriate location. the starting location for any progressive hose lay. restrict water flow. addition of lateral lines.
Lateral Lines - Protect the attack line from minor flare-ups.
Hose Packs - Get the next length to the appropriate location.
Anchor Points - The starting location for any progressive hose lay.
Hose clamps - Restrict water flow.
Hoseline tees -Addition of lateral lines.
A common variation of Flat Road is the Minuteman Road. Some ingenuity is required for loading, but loading is easier than 3-layer stacking. This load is popular because when the tube enters the structure it can be peeled off and deployed from the shoulders of the jet man.
The high flow usually straight jet main jet is created with a smooth bore tip or some type of combination nozzle. Separate the front-row players from the back-row players. One team should focus on attacking the flames directly, while the other team should concentrate on blocking the oncoming spread of the flames.
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Two charges separated by one meter exert 1-N forces on each other. If the charges are pushed to 1/4 meter separation, the force on each charge will be
A. 1 N.
B. 2 N.
C. 4 N.
D. 8 N.
E. 16 N.E. 16 N
The force on each charge will be 16N. Two charges separated by one meter exert 1-N forces on each other. If the charges are pushed to 1/4 meter separation.
How to solve?We have the following given data,
When, r=1m,F=1N
When, r=1/4m,F=?N
Solution,
Let, the distance is r.
The magnitude of the electric force between two charges is given by the following equation:
F=k.q1.q2/r2
the charges unchanged . this proportionality relation, let find the magnitude of force at indicated distance.
Plugging in our values, we have
F=k.q1.q2/r2
F∝1/r2
F2/F1=r21/r22
F2=(r1/r2)2×F1
[Plug in the values. ]
F2=(4)
2×1 N
F2=16N
Therefore, the force will be
F2=16N
Does a charge in an electric field experience any forces?Other charges exert forces on electric charges; for instance, two positive charges may push apart or repel one another. To clarify, we say that an electric charge creates (or induces) an electric field all around it. Other adjacent charges are then affected by this electric field, applying forces to them.
What is the charge's force?In the same manner as F = mg determines the force on the mass m, F = qE determines the force on the charge. The analogy between gravity and electrostatics can be extended to include energy, but we'll get to that later.
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1. The circular wire loop is curved into a circle with diameter D(t)=Do +G t. where D(t) is the diameter at time t, Do is the initial diameter, and G is the rate it grows. [10 points] a. Derive a formula for the EMF induced in the wire as it grows. [5 points] b. The wire has a circular cross section with thickness To, The wire has resistivity p. Derive the formula for the current in the wire as a function of time. (Hint : you found its resistance in the homework for chapter 27 . Be careful to change the diameter rate from B in the previous problem to G in this problem). [3 points] c. Sketch a graph of I (t)
The formula for the EMF induced in the wire as it grows is: EMF = -πG(Do2 + 2DoGt + (Gt)2)/4
The EMF induced in the wire is given by Faraday's law of induction, which states that EMF induced in a circuit is equal to the negative rate of change of magnetic flux through the circuit. Therefore, the EMF induced in the wire can be expressed as:
EMF = -dΦ/dt
where Φ is the magnetic flux through the wire loop. Since the magnetic flux through the wire loop is proportional to the area of the wire loop, we can express this as:
EMF = -d(πD2/4)/dt
Substituting in the expression for D(t), we get:
EMF = -πG(Do + Gt)2/4
Therefore, the formula for the EMF induced in the wire as it grows is:
EMF = -πG(Do2 + 2DoGt + (Gt)2)/4
b. The resistance of the wire is given by Ohm's law as:
R = ρL/A
where ρ is the resistivity of the wire, L is the length of the wire, and A is the cross-sectional area of the wire. Since the wire is a loop, the length is equal to the circumference of the loop, and the cross-sectional area is equal to the area of the wire loop. Therefore, the resistance can be expressed as:
R = ρ(πD/To)/(πD2/4)
Substituting in the expression for D(t), we get:
R = ρTo/(π(Do + Gt)2/4)
The current in the wire is given by Ohm's law as:
I = V/R
where V is the voltage across the wire. Since the voltage across the wire is equal to the EMF induced in the wire, we can substitute the expression for the EMF in the equation above to get:
I = (πG(Do2 + 2DoGt + (Gt)2)/4)/(ρTo/(π(Do + Gt)2/4))
Therefore, the formula for the current in the wire as a function of time is:
I = (Do2 + 2DoGt + (Gt)2)/(Toρ)
c. The graph of I(t) would be a parabola that is increasing as t increases. The graph will start at I(0) = Do2/(Toρ) and will rise as t increases. The rate of increase will depend on the value of G; the higher the value of G, the faster the current increases. The graph will reach a maximum value at t = (Do/G) and will then decrease as t continues to increase. The maximum value of the current is given by I = (Do2 + 2Do2/G + (Do/G)2)/(Toρ). Beyond t = (Do/G), the graph will decrease, eventually reaching I(∞) = 0.
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A cat jumps horizontally from a 3.2 meter shelf at a velocity of 7m/s. How far from the base of the shelf does the cat land? At what velocity does the cat land? (Magnitude and Direction).
What is the energy change taking place
when you turn on a cell phone?
Nuclear energy to thermal energy
Potential energy to chemical energy
Chemical energy to radiant energy
Kinetic energy to potential energy
Answer:
When you turn on a cell phone, chemical energy from the battery is converted into electrical energy, which powers the various components of the phone. This electrical energy can be converted into other forms of energy, such as heat or light, depending on how the phone is being used.
9. a solid metal ball of radius 1.3 cm bearing a charge of 6.2 nc is located near to and along the midline of a hollow uniformly charged plastic rod of radius 1.9 cm and length 12.5 m bearing a uniformly distributed charge of 7.1 nc (see the figure) on its outer surface. the distance between the center of the rod and the center of the ball is 25.5 cm.
The electric field at the center of the metal ball due only to the charges on the surrounding of the metal ball is 0 N/C.
The electric field is defined as the force acting on a positive test charge, per unit charge. units are thus N/C for the electric field. It is similar to the gravitational field on the surface of the Earth for a test mass mo
The electric field is a vector field. It has a magnitude and a direction. Another example is vector field is the wind distribution. Temperature distribution is an example of a scalar field.
Lines indicate the direction of F if a test charge is placed there, Field lines point away from positive charge, and toward negative charge, density of lines indicates the strength of the field.
Field lines cannot cross. If they did, there would be more than one possible direction for a particle to travel at a given point. The lines themselves have no meaning the field is present everywhere.
Since metal ball is considered as a solid sphere So the electric field inside metal ball is given by E=(p/3Eo)г
Where r is the distance from center and rho is charge density. Hence at the centre r=0
Then electric field =(p/3Eo)* 0 = 0 N/C
Hence electric field at the centre of the metal ball due to it's own charge only is 0 N/C.
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Determine the radius of the round strut so that the round and square struts have the same cross-sectional area and compute the critical load of each strut. Use E = 200 GPa.
The radius of strut so that the round and struts have same cross-sectional area = 2.764 mm and the critical load of a strut = 3.95*[tex]10^{-3}[/tex].
Let Radius for a round strut = 'r'
Now, Square Strut:
As, method Cross Section is 24 X 1 ([tex]mm^{2}[/tex])
So, Area, A' of cross-section = 24*1 = 24 [tex]m^{2}[/tex]
>> As, Area of round cross-section, A = pi*[tex]r^{2}[/tex]
Now, Given that, Both have same cross-section area
=> pi*[tex]r^{2}[/tex] = 24
Solving,
=> r = radius of round cross-section = 2.764 mm
>> Now, According to Buckling Criteria,
Critical Load for a Stru, Pcr = (pi*[tex]r^{2}[/tex]*E*I)/Le[tex]q^{2}[/tex]
>> Now, as both Struts or columns are simple supported at both ends
So, Leq = L = 1 m
Also, E = 200 GPa = 200*[tex]10^{9}[/tex] N/m2
Now, I = Moment of Inertia
As, For Round Strut,
I = pi*[tex]r^{4}[/tex]/4 = pi*2.7644/4 = 45.837 = 45.837*[tex]10^{-12}[/tex]
=> Pcr = pi*[tex]r^{2}[/tex]*200*109*45.837*10-12/12
Solving,
=> Pcr = 0.0905 kN (CRITICAL LOAD FOR ROUND)
>> Now, For Strut,
As, Buckling places about axis with minimum Moment of Inertia
So, Imin = a*[tex]b^{3}[/tex]/12 = 24*1*1*1/12 = 2 = 2* [tex]10^{-12}[/tex]
So, Putting every values in Critical Equation:
Pcr = p[tex]i^{2}[/tex]*200*[tex]10^{-9}[/tex]*2*[tex]10^{-12}[/tex]/12
=> Pcr = 3.95*[tex]10^{-3}[/tex] kN (REQUIRED CRITICAL LOAD STRUT)
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which of the following statements describe an exothermic reaction? [select all that apply.]group of answer choiceshrxn < 0hproducts > hreactantsthe bonds that are broken during the reaction are stronger than the bonds that are formed during the reaction.the bonds that are broken during the reaction are weaker than the bonds that are formed during the reaction.
exothermic reaction is the bonds that are broken during the reaction are weaker than the bonds that are formed during the reaction.
Exothermic reactions are those in which the system releases heat into the environment. The temperature of the surroundings rises because it is absorbing heat from the system. Heat is released during the combustion of methane gas, making the reaction exothermic. Specifically, 1mol of methane burns to produce 890.4 kilojoules of heat energy. There are two ways to represent this data as a component of the balanced equation. First, the product side of the reaction can be used to record the amount of heat released. Another option is to write the H information as 890.4kJ, with a negative sign. In an exothermic reaction, the product's bonds are stronger than those of the reactants and have a higher bond energy.
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why are two astronauts in space unable to hear one another
In space, there is no air to carry sound waves. Sound waves are vibrations that travel through a medium, such as air, water, or solid objects. Without a medium to carry the vibrations, sound cannot be transmitted. This is why astronauts in space cannot hear one another or any other sounds. They must use radios or other communication devices to communicate with one another.
Answer:
Below
Explanation:
Unless they have an electronic intercom in their spacesuits. there is no air between them to conduct the soundwaves.
since the rate of decay is proportional to the number of nuclei, we can substitute rate of decay (counts/sec) for the n values. the age of the object can be found using the equation:
The age of the object can be found using the equation [tex]t=\frac{1}{k}ln\frac{[A_{0} ]}{[A]}[/tex].
The rate of decay:
In contrast to chemical reactions, the decay of a certain nucleus cannot be predicted and is unaffected by physical factors like temperature. There are two factors that affect the rate of isotope decay. The average number of undecayed nuclei in the system must double, as must the rate of decay for undecayed nuclei. the isotope's stability because some decay more quickly than others. The number of nuclei that decay per second is determined by the rate of decay.
The rate of the Decay is given as
[tex]\frac{-dA}{dt} =k[A][/tex]
On integrating the above we have
[tex]ln\frac{[A_{0} ]}{[A]}=kt[/tex]
[tex]t=\frac{1}{k}ln\frac{[A_{0} ]}{[A]}[/tex]
The number of nuclei has no bearing on the likelihood that a fixed nucleus would decay. Each nucleus has a predetermined likelihood of decaying in a certain length of time. The number of decaying nuclei will rise as the number of nuclei increases, but that is actually to be expected.
It's similar to rolling a large number of dice; the proportion of dice showing a particular digit to the total number of dice you roll. Keeping with this scenario, let's say you take away a dice if it displays 1. This is comparable to the disintegration of a nucleus. The number of dice eliminated will initially be large, but as the number of dice decreases, so will the number being removed.
The age of the object can be found using the equation:
[tex]\frac{-dA}{dt} =k[A][/tex]
[tex]t=\frac{1}{k}ln\frac{[A_{0} ]}{[A]}[/tex]
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Let 84.0 J of heat be added to a particular ideal gas. As a result, its volume changes from 90.0 to 144.0 cm3 while the pressure remains constant at 1.0 atm. By how much did the internal energy of the gas change?
a)What is the molar specific heat at constant pressure?
b)Find the molar specific heat at constant volume.
The molar heating value in normal pressure is 116.49 J/molK or the molar heating value under continuous volume is 124.42 J/molK, according to the declaration.
Why does heat form?Small units known as atoms, molecules, and ions make up all matter. These little particles vibrate back and forth or run into each other constantly. All is among a type of energy termed as heat (or thermal) energy, which is produced by the movement of particles.
Briefing:Internal energy change:
Q = 84.0 J, V = 90 cm³ = 9.0E-5 m³, V' = 144.0 cm³ = 1.44E-4 m³, P = 1 atm
W = P(V'-V) = (1.013E5)(1.44E-4 - 9.0E-5) = 5.61 J
U = Q-W = 84.0-5.61 = 78.39 J
a). Molar specific heat
Q = nCp(T' - T) = (Cp/R) nR(T' - T) = (Cp/R) P(V' - V)
so Cp = RQ/[P(V' - V)] = 8.31*84.0 / 5.61 = 124.42 J/molK
b). Molar specific heat (constant v)
Cv=Cp - R = 124.8-8.31 = 116.49 J/molK
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A laser is used in eye surgery to weld a detached retina back into place. The wavelength of the laser beam is 581 nm, and the power is 1.5 W. During surgery, the laser beam is turned on for 0.050 s. During this time, how many photons are emitted by the laser?
The laser beam emits 1.939 x 10¹⁷ photons after being activated for 0.050 seconds.
Explain what a laser is.A laser emits an extremely focused beam of energy that may be used in a variety of equipment and technologies. Laser Amplification by Stimulation of Radiation Emission is what the letters in the term laser stand for. Light Amplifier by Stimulated Radiation Emission is what the elements in the term laser stand for.
Briefing:As we are aware,
This pace of energy is equivalent to power in numbers.
As things evolve throughout time,
using mathematics,
power : P = E /t
Total Energy : E = P t
= (1.5)(0.050)
= 0.075 J
The laser beam's wavelength is = λ = 514 nm
One photon's energy is given by E ' = h c /λ
= (6.626068 × 10⁻³⁴ )(3 x 10⁸)/(514 x10⁻⁹)
= 0.03867 x 10⁻¹⁷ J
The amount of photons the laser beam emits:
= (total energy) / (energy per photon)
= 0.075 J / 0.03867 x 10⁻¹⁷ J
= 1.939 x10¹⁷ photons
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suppose you observe a binary system containing a main-sequence star and a brown dwarf. the orbital period of the system is 1 year, and the average separation of the system is 1 au . you then measure the doppler shifts of the spectral lines from the main-sequence star and the brown dwarf, finding that the orbital speed of the brown dwarf in the system is 23 times greater than that of the main-sequence star.1. How massive is the brown dwarf?
Mdwarf = ? KG
Mass of the brown. dwarf., M₂ = 4.132 * 10²⁷ kg
Let M₁ = Mass of the main-sequence star
M₂ = Mass of the brown dwarf
v₁ = speed of the main-sequence star
v₂ = speed of the brown dwarf
The system's average distance apart r₁ = r₂ = 1 AU
The brown dwarf's orbital speed is 22 times that of a star in the main sequence.
Consequently, v2 = 22 v1.
Considering that the Sun is a main-sequence star
2 * 1030 kg is the main-sequence star's mass.
Centripetal force: F = Mv2/r
M1v12 = M2v22 M2/M1 = v12/v22 M2/M1 = (1/22) M1v12 = M2v22/r2 M2v22/r2
2 M2/M1 = 0.002066 M2 = 0.002066M1 M2 = 0.002066*2*1030 M2 = 4.132*1027 kg
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a small car of mass 420 kg is pushing a large truck of mass 940 kg due east on a level road. the car exerts a horizontal force of 1600 n on the truck.What is the magnitude of the force that the truck exerts on the car?
The magnitude of the force that the truck exerts on the car is same as the horizontal force exerted by the car on the truck that is 1600 N.
In physics, a force is a force that can change the motion of an object. A force can change the velocity of an object with mass. Pressure can also be intuitively described as pushing or pulling. A force has both a value and a displacement, making it a vector quantity.
Squeeze is pushing and pulling, which affects daily life because people without strength cannot open and close objects, lift arms and legs.
Reason :
This question is a simple application of Newton's third law, which states that if an object A exerts a force on an object B, then B must exert a force on A that is equal in magnitude but opposite in direction.
The car pushes against the ground with a force of 1600 N, so therefore the ground must exert a force on the car, also of 1600 N.
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you conclude that an electromagnetic wave is passing through the region.(a) what is the direction of propagation of the electromagnetic wave?
The vibration of electric field is shifting towards +y direction as time passes. Hence, we can say that the electromagnetic wave is traveling in +y direction.
An electric field that oscillates in both space and time, coupled with an orthogonal magnetic field that has the same periodicity in both space and time, make up electromagnetic wave known as light. Maxwell originally explained this.
Light interacts with the charged particles found inside the atoms of a material as it enters them. Even while both magnetic and electric fields can be absorbed by materials, the interaction of the field of light with matter is, on average, 105 times larger than that of the magnetic field, thus, to a first approximation, we can limit our attention to the electric field's interaction with matter. when the light's electric field enters a substance and causes the electrons to migrate.
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If a tennis player's arm muscles are weak and unable to produce enough force with one hand to accelerate the ball sufficiently, he can create more total force by hitting with two hands. Which of the following principles best describes why this occurs?Newton's Law of acceleration
Newton's Law of acceleration best describes why this occurs.
Newton's second law - the law of acceleration (acceleration = pressure/mass). Newton's 2d regulation states that the acceleration of an item is without delay related to the net pressure and inversely associated with its mass. Acceleration of an object relies upon on things, force and mass.
The legal guidelines are: (1) each item movements in a straight line except acted upon by way of a pressure. (2) The acceleration of an item is without delay proportional to the internet pressure exerted and inversely proportional to the object's mass. (3) For every motion, there may be an same and opposite reaction.
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a. does the speed of the moving object affect the amount of kinetic friction on the object? explain your answer and cite evidence to support your claim.
No, the quantity of kinetic friction on a moving item is not affected by its speed.
The consistency of the speed is more crucial than the actual speed. As was mentioned the friction force needs to be cancelled out by a constant force. The applied force would be equal to the kinetic friction force if the motion was constant in speed.
Therefore, the kinetic friction coefficient is not affected by the relative speeds of the two objects. The types of surfaces in contact are the sole factors that affect the coefficient of kinetic friction.
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The nebular theory proposes the sun and planets formed from a rotating cloud of interstellar gases and dust called a
celestial sphere
protoplanet
solar nebula
planetesimal
The nebular theory proposes the sun and planets formed from a rotating cloud of interstellar gases and dust called a Solar nebula
What is nebular theory?
The creation of solar systems is explained by the nebular theory. According to the explanation, stars are produced from clouds of interstellar gas and dust, and the term "nebula" is Latin for "cloud." It takes around 100 million years for an undifferentiated cloud to develop into a star system with planets and moons.
The nebular theory proposes the sun and planets formed from a rotating cloud of interstellar gases and dust called a solar nebula
According to the nebular theory, the Sun and all of the plants in the solar system descended from the solar nebula, an interstellar cloud of gases and dust. The term "nebula" itself is a Latin word for cloud. The nebula began to collapse over time, and the centre of the collapse (the central mass) eventually turned into a protostar.
It should be noted that this protostar was distinct from our current star in that it lacked the continuous nuclear fusion process that our stars do now. When nuclear fusion begins in the centre of a protostar, it transforms into a star.
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An airplane traveling 245 m/s east experienced turbulence, so the pilot decided to slow down to 230 m/s. It took the pilot 7 seconds to get down to this speed. What is the acceleration of the plane? (Round your answer to the nearest integer.)
On the runway, aeroplanes accelerate between 115 and 160 mph (ca. 257 km/h). However, the precise acceleration is influenced by the plane's model, the weather, and other elements.
What turbulence affect acceleration of the plane?Seat belts will definitely feel under strain, and loose objects will become displaced. Considerable, sudden changes in height, attitude, and typically, large variations in indicated airspeed are all symptoms of severe turbulence. There's a chance the jet will briefly lose control.
Therefore, In general, tiny planes need the least amount of acceleration to take off, whereas commercial planes need the greatest.
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based on what you know about measuring the distance to stars, select all of the correct statements from the following list.
To measure the distance to nearby stars, astronomers use the effects of stellar parallax or by determination of distance by observing parallax works mostly for nearby stars (1).
What is parallax?Parallax is a method used by looking at the shift of two fixed points relative to one another seen from the observer's point of view. The parallax of a star is expressed in units of arc seconds, so this parallax is an angle, while the distance is expressed in units of parsecs with 1 parsec = 3.26 light years. The trigonometry parallax method can only be used to get the distance to the nearest stars, which is up to 100 parsecs.
To measure the distance of a star, astronomers do not use distance units such as meters or kilometers, but the Astronomical Unit, which is equivalent to the average distance between the Earth and the Sun, about 150 million kilometers.
The question is incomplete, it should be:
Based on what you know about measuring the distance to stars, select all of the correct statements from the following list?
1) Determination of distance by observing parallax works mostly for nearby stars.
2) For the distance to far stars, it is necessary to use spectroscopic parallax.
3) To determine the luminosity of a star, you must first know the distance.
4) There are no other stars within a parsec of the sun.
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Regarding global warming, most scientists (including those who have advised the United Nations through the Intergovernmental Panel on Climate Change) agree that if we continue to burn fossil fuels at an accelerating rate:Climate changes will primarily hurt poor people in warm places, but the climate changes are primarily being caused by wealthier people in colder places.
Climate changes will primarily hurt poor people in warm places, but climate changes are primarily being caused by wealthier people in colder places.
Most climate scientists agree that the root cause of the current trend in global warming is the anthropogenic expansion of greenhouse gases as the atmosphere traps heat radiating from the Earth into space. I agree. Certain gases in the atmosphere prevent heat from escaping.
The production of electricity and heat from burning fossil fuels accounts for the majority of global emissions. Most electricity is still produced by burning coal, oil, or gas. Carbon dioxide and nitrous oxide are powerful greenhouse gases that coat the earth and trap the sun's heat. As a result, the amount of carbon dioxide in the atmosphere is increasing rapidly.
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although we have discussed single-slit diffraction only for a slit, a similar result holds when light bends around a straight, thin object, such as a strand of hair. in that case, a is the width of the strand. from actual laboratory measurements on a human hair, it was found that when a beam of light of wavelength 632.8 nm was shone on a single strand of hair, and the diffracted light was viewed on a screen 1.25 m away, the first dark fringes on either side of the central bright spot were 5.22 cm apart.
When the light bends around the strand of hair was of thickness 30.3*10^-6 m or 30.3 μm then beam of light faced diffraction.
Diffraction refers to what happens to a wave when it hits an obstacle. The key to understanding diffraction is a very simple observation first due to Huygens in 1678. Say a wave arrives at an opaque screen with a little hole in it.
The key point is that the receiver does not care about whatever happened on the other side of the screen. All that matters at is what the wave was like as it passed through the hole.
The great thing about this way of thinking about diffraction is that, since the wave equation is linear, you can use this trick for any number of holes. You simply add the amplitude for the waves produced from a “source” at each hole.
The condition for minimum in single slit diffraction is,
sinФ=mλ/d
Here, mis order, λ is the wavelength of light, d is slit width.
For first order minimum put m = 1
sinФmin=(1) (632.8*10m)/d
The width of the central maximum is,
2y=5.22×102 m
y=2.61×102 m
The expression for the distance between central maximum to the first minimum is, y= L tanФ
tan Ф= y L
Here, is the angle of diffraction of light which will produce first minimum.
tan Ф=2.61×10-2 m 1.25 m
tan Ф=1.196° which is very small.
Thus, for small angles tan 6, = sine
tanФ=sinФ
(sin 1.196°)= (1)(632.8*10 m) d
d=30.3*10^-6 m or 30.3 μm
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Figure 7-40 shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.6 m, so the cart slides from x1 = 5.0 m to x2 = 1.0 m. During the move, the tension in the cord is a constant 28.0 N. What is the change in the kinetic energy of the cart during the move?
The cord's tension remains constant during the movement at 28.0 N. 94.08 J is the change in the cart's kinetic energy during motion.
the force exerted on the cart is the tension T in the chord itself. so,
F=T
Calculate the displacement of the cart.
d=[tex]\sqrt{x_{1}^{2}+h^{2} } -\sqrt{x_{2}^{2}+h^{2} }[/tex]
subsitute 5.0m for x₁,1.0m for x₂,and 1.60m for h.
d=[tex]\sqrt{5.0^{2}+1.60^{2} } -\sqrt{1.0^{2}+1.60^{2} }[/tex]
d=3.36m
calculate the change in kinetic energy of the cart.
ΔK=Fd
substitute 28.0N for F and 3.36m for d.
ΔK=28.0×3.36
ΔK=94.08 J
Tension is a force that runs the length of a medium, particularly one that is conveyed by a flexible medium like a rope or cable.
An action-reaction pair of forces acting at either end of the aforementioned elements is what is referred to as tension. Consider a rope; aside from the endpoints, every section of the rope experiences tension force in both directions. The ends feel strained on one side and the force of the attached weight. The tension fluctuates in several places along the string.
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Which of these statements is true concerning balanced forces acting on a car?
Balanced forces will cause no change in the car's motion.
Balanced forces will cause the car to accelerate in the direction of the greater force
Balanced forces will cause the object to change direction.
Balanced forces will cause the car to slow down and stop
Answer:
Balanced forces will cause no change in the car's motion.
Explanation:
Balanced forces are 2 forces that are equal in opposite directions. This means they 'cancel each other out' in a way. Since both are equal, they cause no effect on the motion of the car
in fig. 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 m away. he then pushes sideways on the rope at its midpoint with a force of 550 n, displacing the center of the rope 0.30 m, but the car barely moves.what is the magnitude of the force on the car from the rope? (the rope stretches somewhat.)
The rope's force on the car, in terms of magnitude, is [tex]8.3 *10^{3}[/tex] N
A man ties a rope firmly around the front bumper of his car and an 18-meter utility pole in an effort to free it from the mud. Then, with a force of 550 n, he pushes sideways on the rope at its middle, shifting the rope's center by 0.30 m, but the automobile scarcely moves.
At first, we evaluate the angle, then with its help of it, we shall evaluate the magnitude of the force.
Measured from the dotted line, the angle of each rope half is
θ = [tex]tan^{-1} (\frac{0.30m}{9.0m} )= 1.9[/tex]
When we examine the forces at the "kink" (where F is applied), we discover
t = 2sinθ/F = 2sin1.9/550 = [tex]8.3 *10^{3}[/tex] N
The rope's force on the car, in terms of magnitude, is [tex]8.3 *10^{3}[/tex] N
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The magnitude of the force on the car from the rope is 8.3*10³ N
Force is the amount of energy applied to displace the position of any object. This force has magnitude and direction and so is called the vector quantity.
Here, in this question,
Given,
Distance = 18 m
Midpoint force = 550 N
Displacement of the center of the rope = 0.30 m
The rope when tied then it will also show a force which is the tension force (t).
We know that tension t
t = 2sinθ / F
But we are not aware about the value of θ
so
we will first find the value of θ by
θ = tan⁻¹(0.30/0.9) = 1.9
We got the angle to be 1.9, now we can easily find the force in the rope as
t = 2 sin 1.9 / 550
= 8.3 * 10³ N
Therefore, the magnitude of the force on the car from the rope is 8.3*10³ N.
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assumptions scientists make include: anature can be understood through systematic study bscientific ideas never need to be revised cscience can provide answers to all questions. dall of the choices
Assumptions scientists make include:
a nature can be understood through systematic study.
All scientists make essential assumptions. One is determinism—the idea that every one events inside the universe, such as conduct, are lawful or orderly. the second one assumption is this lawfulness is discoverable.
Technological know-how operates on the assumptions that herbal reasons give an explanation for herbal phenomena, that evidence from the herbal world can inform us approximately the ones causes, and that these reasons are constant.
A hypothesis is an assumption, an concept this is proposed for the sake of argument so that it may be examined to look if it might be authentic. in the medical technique, the speculation is constructed earlier than any applicable research has been done, other than a fundamental historical past overview.
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You want exactly nine gallons of water, but you have only a seven-gallon bucket and a five-gallon bucket. Although you, at first, do not see how these two buckets can help, you realize that you can use them in the following way: fill the seven-gallon bucket, then pour it in the five-gallon bucket, leaving two gallons in the seven-gallon bucket. Pour out the five-gallon, pour the two gallons of water in the five-gallon and refill the seven-gallon bucket and you have a total of nine gallons of water. To solve this problem, you had to use
a. Selective comparison.
b. Selective attention.
c. Selective encoding.
d. Selective combination.
For the nine gallons of water, the correct answer is Selective combination.
Selective combination occurs when one synthesizes different information together.
Selective comparison occurs when one creates a connection between experiences and knowledge.
Selective encoding occurs when one selectively picks only relevant information.
Selective combination happens when one synthesizes one-of-a-kind records collectively. Selective contrast takes place while one creates a connection among reports and knowledge. Selective encoding occurs whilst one selectively selections only applicable information.
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When a 40-N force, parallel to the incline and directed up theincline, is applied to a crate on
a frictionless incline that is 30? above the horizontal, theacceleration of the crate is 2.0m/s2,
up the incline. The mass of the crate is:
A. 3.8kg
B. 4.1kg
C. 5.8kg
D. 6.2kg
E. 10 kg
The mass of the crate when it is directed up the incline will be equal to 5.8 kg that is option C is correct.
This problem can be solved using the concept of Newton's second law of motion. The mathematical expression of this will be
F = ma
where F is the force, m is mass and a is the acceleration.
Now, net force will be expressed as
Fₙ = 40N - mg (sin 30°) = m(2 m/s²)
where 40 N is the force parallel to incline and mg (sin 30°) is the vertical component of force.
From this we solve for m as
m = 40/6.9
m = 5.8 kg
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an apple weighs 1.20 n. when you hang it from the end of a long spring of force constant 1.44 n/m and negligible mass, it bounces up and down in shm. if you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)
The unstretched length of the spring is 3.333 m
Calculation :
k = Spring constant = 1.5 N/m
g = Acceleration due to gravity = 9.81 m/s²
l = Unstretched length
Frequency of SHM motion is given by
[tex]f_{s} = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
Frequency of pendulum is given by
[tex]f_{p} = \frac{1}{2\pi }\sqrt{\frac{g}{l} }[/tex]
Given in the question
[tex]f_{s} = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex] = [tex]f_{s} = \frac{1}{2\pi }\sqrt{\frac{g}{l} }[/tex]
[tex]\frac{1}{2\pi }\sqrt{\frac{k}{m} }= \frac{1}{2}\frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
l = [tex]\frac{4gm}{k}[/tex]
l = [tex]\frac{4*9.8*\frac{1.2}{9.8} }{1.44}[/tex]
l = 3.333 m
The unstretched length of the spring is 3.333 m
The word "force" has a precise meaning. At this level it is appropriate to describe the force as pushing or pulling. A force does not contain or "have within" an object. A force is applied from one object to another. The concept of force is not limited to living things and inanimate things
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