The sentence can constitute the inequality in the quotient of more than a few and four.2 is less than or identical to 21.
A quotient is a quantity produced by the division of numbers. The quotient has extensive use throughout mathematics and is generally called the integer part of a department, or as a fraction or a ratio.
The range we reap when we divide one quantity via some other is the quotient. as instance, in 8 ÷ 4 = 2; here, the end result of the department is 2, so it's miles the quotient. eight is the dividend and 4 is the divisor.
The quotient of department trouble is determined with the aid of dividing the dividend through the divisor. this can be accomplished thru repeated subtraction or long division. it's far possible to find the quotient of two integers, fractions, or two algebraic terms.
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What is Romanticism literary movement?.
Romanticism was an attitude or intellectual orientation that pervaded many works of Western civilization from the late 18th to the mid-19th century, including literature, painting, music, architecture, criticism, and historiography.
The principles of order, tranquility, harmony, balance, idealization, and rationality that characterized Classicism in general and late 18th-century Neoclassicism in particular can be seen as being rejected by Romanticism. In some ways, it was also a response to the Enlightenment, as well as to general 18th-century rationalism and physical materialism. Romanticism placed a strong emphasis on the unique, the subjective, the irrational, the imaginative, the personal, the spontaneous, the emotional, the visionary, and the transcendental.Romanticism's influence on architecture is primarily seen in the "follies," or bizarre structures that mimic older architectural styles. The Gothic Revival was sparked by the Romantic imagination's renewed interest in medieval Gothic architecture in Germany and England.To know more about Romanticism-
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a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air. how high will the ball rise?
If a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air, the ball will rise to a height less than h.
Some of the energy of the bowling ball is transferred to the trampoline as friction. Also in its motion, there will be air friction. So, clearly energy is lost. So the ball will not reach the height from which it was launched.
Additionally, a trampoline cannot fully provide the velocity with which it reached the trampoline. Because efficiency of any machine is always less than one. So, this is also a reason why the bowling ball cannot reach its initial height.
Therefore, if a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air, the ball will rise to a height less than h.
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a 20 kg loudspeaker is suspended 2.0 m below the ceiling by two 3.0-m-long cables that angle outward at equal angles. what is the tension in the cables?
The tension in the cable is 147N.
Here we have to find the tension in the cables.
The given values are:
Mass of the loudspeaker = 20kg
Height (h) = 2m
Length (l) = 3m
Acceleration due to gravity(g) = 9.8 m/s²
Weight of the loudspeaker = mg
= 20 × 9.8
= 196N
Now according to Newton's second law we have:
TsinФ + TsinФ - weight = 0
T = tension
2TsinФ = weight
T = weight/ 2sinФ
We have to find the value of sinФ
sinФ = h/l
= 2/3
T = 196/( 2 × 2/3)
= 147N
Therefore the tension is 147N.
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If a wind turbine extracted 100% of the kinetic energy out of the wind, what would happen?.
Answer:
all of the wind would have to stop completely upon contact with the turbine
Explanation:
Wind turbines work by slowing down passing wind in order to extract energy. If a wind turbine was 100% efficient, then all of the wind would have to stop completely upon contact with the turbine—which isn't possible by looking at a wind turbine.
A 2-inch piece of two-;layer chocolate cake with frosting provides 1670 kj of energy. Calculate this in calorie.
The dietary calories in 1670 kilojoules of energy are 399.14 Cal.
Solution:
Now we convert kilojoules to dietary calories
Calories in 1670 kilojoules = [tex]1670 KJ * \frac{1000J}{1kg} *\frac{1cal}{4.184J} *\frac{1 cal}{1000cal}[/tex]
Calories in 1670 kilojoules = 399.14 Cal
Hence, the dietary calories in 1670 kilojoules of energy are 399.14 Cal.
Adding filling between layers holds the layers together and adds both flavor and height to the cake. Using 12 icing-filled tipped sachets, pipe frosting just inside the outer edge of the layer. This creates a dam that prevents the filling from seeping out.
A layer cake or sandwich cake is a cake made from several stacked cake sheets bound together with icing or another type of filling such as jam or other jams. Most cake recipes can be adapted for layered cakes. Butter cakes and sponge cakes are common.
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if the theoretical minimum number of parts for this geared water pump is three and the total assembly time 116 seconds, what is its assembly efficiency?
The assembly efficiency if the theoretical minimum number of parts for a geared water pump is three and the total assembly time 116 seconds is 7.79 %
ηassembly = Nmin ta / t
ηassembly = Assembly efficiency
Nmin = Minimum number of parts to assemble
ta = Basic assembly time for one part
t = Total time
t = 116 s
ta = 3 s
Nmin = 3
ηassembly = 3 * 3 / 116
ηassembly = 0.077856
ηassembly = 7.79 %
Assembly is a step in manufacturing process in which different parts gets assembled to make a working product. Efficiency is basically how much energy can be conserved.
Therefore, the assembly efficiency is 7.79 %
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a radio station broadcasts radio waves at a frequency of 510 kilo hertz. what is the wavelength of these waves?
Answer:
588m
Explanation:
frequency = 510 kHz
speed of all electromagnetic waves are 3×10⁸ in any medium
speed = frequency × wavelength
wavelength = speed ÷ frequency
= 3×10⁸ ÷ 510 × 10³ =588.2352941 ≈ 588 m(3s.f.)
since there is a prefix of kilo in the frequency value, then we have to include the calculation of the prefix in order to find the wavelength as all calculated values should be in SI unit
2.5 escaping a cube ** suppose eight protons are permanently fixed at the corners of a cube. a ninth proton floats freely near the center of the cube. there are no other charges around, and no gravity. is the ninth proton trapped? can it find an escape route that is all downhill in potential energy? feel free to analyze this numerically/graphically.
Consider a cube with eight protons that are fixed in place at each corner. Near the cube's center, a ninth proton floats unimpeded. There is no gravity and no other charges nearby.
There are 3 protons and 3 neutrons in the first isotope. Three protons and four neutrons make up the second isotope and 4/2 + 4/6 = 4.4614 is the potential at the middle of a face. The proton will be pushed outward by the fields of all eight charges, thus this is smaller than in the center and things will only get worse from there.
Although it is fairly flat around x = 0, if you plot this as a function of x, you will find that it is in fact a declining function. Thus, the proton is capable of escaping. If you wish to verify that it is always negative (for x > 0), you can compute the derivative of (x) and plot that result.
Since the potential is unlimited in the cube's corners, the proton will obviously not be able to escape if it moves from the center to those points.
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The clock on the big ben tower in london reads 12 noon. If you travel away from the clock at a very high speed and view it with a telescope, you would see.
"The clock on the big ben tower in London reads 12 noon. If you travel away from the clock at a very high speed and view it with a telescope, you would see it run slower than a clock in your vehicle" (Option A) This phenomenon is known as Time Dilation.
What is time dilation?Time dilation is defined in physics and relativity as the difference in elapsed time as measured by two clocks. It is either owing to a difference in relative velocity or a difference in gravitational potential between their places.
When left undefined, "time dilation" generally refers to the impact of velocity.
Time dilation is the "slowing down" of a clock as determined by an observer in relative motion with regard to that clock under the theory of special relativity.
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Full Question:
Suppose you look at the huge clock on the Big Ben Tower in London and it reads 12 noon. If you could travel away from the clock at the speed of light and view it with a telescope, it would:
a) run slower than usual
b) run faster than usual
c) be frozen at 12 noon
if both wires are carrying a current of 6.5 a, what is the magnitude of the magnetic field, in teslas, at point p?
The magnetic field's strength at point p is 3.16*10-5 T, which is measured in teslas. A magnetic field is indeed a vector field that explains the magnetic impact on moving electric charges, pulsed electrical.
what is Simple definition of a magnetic field?Around a magnet, where magnetism is present, is a region known as the magnetic field. To represent the distribution of the magnetic force in the area surrounding and inside something magnetic in nature, we utilize the magnetic field as a tool.
How exactly can the magnetic field operate?South and north poles are present in every magnet. In contrast to each other repelling each other, opposite poles are drawn to one another. The north-seeking poles of the iron's atoms align in the same direction when you run a piece of iron along a magnet. A magnetic field is created as a result of the force produced by the aligned atoms.
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Vittorio would like to be able to check whether his shoelaces are tied. Draw the incident and reflected rays showing the light from his shoelaces reflecting off the mirror into his eyes. Again, the rays should meet at the point on the mirror that needs cleaning. (see the hints from part a if you need help. ).
The height of mirror to be cleaned is equal to half the height of the man.
Let the length to be cleaned = x and height = h, distance between mirror and man is p.
The ray from his feet is incident at B.
As it is plane reflection angle RBC = angle IBC
From geometry, angle ARB = θ
From Δ ARB, Tanθ = x/p
From ΔBIC, Tan θ = H-x/p
Equating them,
2x = H
x = H/2
Hence , the height of mirror to be cleaned is equal to half the height of the man.
The law of reflection states that the incident ray, the reflected ray, and the normal to the surface of the mirror, all lie in the same plane.Also, the angle of incidence is equal to the angle of reflection.
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all of the offsets are relative to the master clock zero. all signals are two-phase. there are two lanes in each direction. all block lengths are 1,200 ft.
The engine's valves can open and close during each cylinder's firing because a timing chain synchronizes the rotation of the crankshaft and camshaft(s), ensuring proper timing.
When does a timing chain need to be replaced?Unless there is a specific issue, a timing chain replacement is typically required between 80,000 and 120,000 miles. With higher mileage vehicles, chain problems are more frequent. It is advised to watch for timing chain failure signs if you are driving an older car or one with a lot less than 100,000 miles on the odometer.It's critical to be able to identify the signs of a timing chain problem so that it may be fixed before it becomes irreparable. Otherwise, the timing chain will need to be replaced.The following are indications that a timing chain needs to be replaced:Before an engine rattle, later model VVT applications will produce engine codes and check engine lights.Engine rattling is a result of older, pre-VVT applications.To Learn more About timing chain refer to:
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using eqn. (5), calculate the magnetic field at the center of a fictitious tube. the number of turns on each coil is 130, the current is 1.0 a and the radius of the coils is 20 cm.
The magnetic field at center of a fictitious tube is 7.68 × 10⁻¹⁰ Tesla.
A magnetic field is the area around a magnet where you can feel the effects of magnetism. We use magnetic fields as a tool to describe how magnetic forces are distributed in the surrounding space and in anything that is magnetic in nature. Magnetic fields are created by moving the charges and intrinsic magnetic moments of elementary particles.
It is denoted by B or H . The units of magnetic field is Tesla.
formula : B = μ₀ × I/ 2πr
where, B ---> magnetic field
μ₀ ---> permeability of free space
r --> distance in meters
I ---> magnitude of electric current in ampere
the value of μ₀= 4π × 10⁻⁷ T m / A
we have given that, I = 1.0 A , r = 130 × 20 /100 => r = 26 m
putting all the values in above formula we get ,
B = 4π× 10⁻⁷× 1 / 2π× 26 = 4×10⁻⁷/52
= 7.6 × 10⁻¹⁰ T
Hence, the magnetic field is 7.6 × 10⁻¹⁰ T.
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two blocks of masses 5 kg and 10 kg, respectively, are placed on a table, as in the figure. the coefficients of friction between the blocks and the table are not the same. their respective values are indicated in the figure below each block. the blocks are connected by a string of negligible mass that can only withstand tension upto 100 n. a horizontal force is applied to the 10-kg block. what is the maximum value of the magnitude of that doesn't cause the string between blocks to break?
Answer: that its will
Explanation:
if earth had a pair of identical moons on opposite sides of the same circular orbit, the center of gravity of the double-moon-earth system would be
If the earth had a pair of identical moons on opposite sides of the same orbit, then the center of the gravity of the double-moon-earth system would be at the center of the earth
The gravitational pull of the moon pulls on the earth, especially in the parts closest to the moon. As a result of this force, the earth's crust rises slightly (a few centimeters). Even ponds and lakes like the Great Lakes experience neap tides. But this gravitational pull can lift the Earth's oceans (and atmosphere) many meters. The moon orbits the earth, creating a "bulge" in the ocean.
On the other side of the Earth's Moon, the gravitational pull is weaker than on any other part of the Earth, and the ocean is "left behind" in another bulge. As there will be identical moons on exact opposite sides, there will be equal gravitational pull, thus we could have gravity at the center of the art.
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if a rigid body rotates about its center of gravity, its translational kinetic energy is at all times. a) constant b) equal to its rotational kinetic energy c) zero d) cannot be determined
When a rigid body is rotating about its center of gravity, we realize that there is no movement of its center of mass. In other words, its translational motion is absent, and it possesses only rotational kinetic energy.
Hence, the correct answer to this question is:Option (c).
What is Kinetic Energy?
The kinetic energy of a body is the amount of energy it possesses owing to its state of motion. General motion can be described as a combination of translational and rotational motion, implying that the total kinetic energy of a moving body comprises that due to translation and that due to rotation.
The formula for kinetic energy of a body of mass (m) and translational velocity (v) is written as: K=(½)mv^2
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During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent __________. a. brain function b. mental activity c. x-rays d. brain patterns please select the best answer from the choices provided a b c d
Using concepts of errors and measurement, we got that During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent a) brain function is the best answer from the choices.
An electroencephalogram (EEG) is the noninvasive test that records electrical patterns in the brain. It is the recording of the electrical activity of the brain from the scalp. The recorded wave forms reflect cortical electrical activity. The test is used to help diagnose conditions such as the seizures, epilepsy, head injuries, dizziness, headaches, brain tumors and the sleeping problems. It can also be used to confirm the brain death.
-Brainwaves are produced by synchronized electrical pulses from the masses of the neurons communicating with each other. Brainwaves are actually detected using sensors placed on the scalp.
Hence, During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent a) brain function is the best answer from the choices provided a b c d.
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Answer:
brain function
Explanation:
The motion of an object is described as 240 mph to the northeast. What form of motion is being described?.
Answer: velocity
Explanation:
The answer is velocity, because it describes how fast it is going and in what direction
an 82-kg stunt man falls off the top of a large building. after falling for 65 meters he has a speed of 22 m/s. assuming he was initially at rest, what was the average force of air resistance exerted on the stunt man during his fall?
The average drag force on the stuntman during a fall is 305.29 N. force is a push or a pull.
.
Start by collecting the kinetic energy of the stuntman.
Mass (m) = 82 kg
Velocity (v) = 22 m/s
Kinetic Energy (KE) =?
KE = 19844 J
Finally, determine the average drag applied to the stunt. This is obtained as follows:
Distance = 65 meters
Energy = 19844 J
Average force =?
Energy = Work
Work (W) = Force (F) × Displacement (d)
W = Fd
So
E = W = Fd
19844 = F × 65
Divide both sides 65
F = 19844 / 65
F = 305.29 N
So, from the above calculation we can conclude that the average force is 305.29 N
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.
what is the velocity v2 of the liquid flowing out of the exit end of the pipe? assume the viscosity of the fluid is negligible and the fluid is incompressible. the acceleration of gravity is 9.8 m/s 2 and patm
The fluid is incompressible and has extremely little viscosity. Gravity accelerates at a rate of 9.8 m/s2 and follows a path that causes the liquid to go out of the pipe at a speed of 66.35 m/s.
What is the principle of Bernoulli?Bernoulli's principle, which at first looks counterintuitive, describes the link between a fluid's speed and pressure. Bernoulli's principle states that locations in a horizontal flow of fluid will experience lower pressure than locations where the fluid is moving more slowly.
radius at initial end is given as = 0.24/2 = 0.12 m
now radius at end is given as = 0.05/2 = 0.025 m
utilizing the continuity equation:
A₁ V₁ = A₂ V₂
π (0.12)² × 2.88 = π (0.025)² × V₂
V₂ = 66.35 m/s
∴ The calculated exit terminal velocity is 66.35 m/s.
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SOMEONE HELP
Perform the following conversion.
0.09 km to dam
Answer:9
Explanation:
a meter stick balances horizontally on a knife-edge at the 50.0 cm mark. with two 5.00 g coins stacked over the 12.0 cm mark, the stick is found to balance at the 45.5 cm mark. what is the
The mass of the knife which is kept on the meter stick is 66 grams.
The mass of the two coins = 2 x 5 g
= 10 g
The position of the coins is at the 0.12 m mark
The position of the knife is at the 0.45 m mark
The length of the meter stick is 0.5 m
The mass of the knife can be found using the formula,
M = (x₂ - x₁)m / (x₃ - x₁)
where M is the mass of the knife
m is the mass of the coins
x₁ is the position of the coins
x₂ is the position of the knife
x₃ is the length of the knife.
Let us substitute the known values in the above equation, we get
M = (0.45 - 0.12)(10) / (0.5 - 0.45)
= (0.33)(10) / 0.05
= 3.3 / 0.05
= 66 g
Therefore, the mass of the knife is 66 gram
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Which form of energy travels in waves through matter?
Sound energy is what travels in waves through matter.
Sound Energy is basically the result of a substance's vibration whenever movement of it's constituent particles is induced. It arises when a force, either sound or pressure, makes an object vibrate and the vibrations moving through something is what it is. The energy moves through the substance in waves.
In these waves, the particles move up and down which means that the kinetic energy has been transferred to them. Such waves that travel in the world around us are called mechanical waves and sound waves are a good example of how these propagate.
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The kind of energy that propagates through matter in waves is known as sound energy.
When a force, such as sound or pressure, causes an item or material to vibrate, the outcome is sound energy. Waves of that energy pass through the material. The sound waves are referred to as kinetic mechanical energy.
The propagation of vibrations through material is referred to as the sound energy. Noise is created when an item vibrates, which releases sound energy. Pressure waves are created by the sound vibrations and move through a material like air, water, wood, or metal.
Some of the examples of sound energy are:
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In order to make the loop successfully (and not
lose any passengers), a rollercoaster has to hit a
critical speed before the loop. What is the velocity
of a rollercoaster car if it has a mass of 7,600 kg
and 4,750,000 Joules of kinetic energy?
The velocity of a rollercoaster car is 35.36 m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Mass of the rollercoaster; M = 7600 kg.
Kinetic energy of the rollercoaster; E = 4750000 Joules.
We have to find, the velocity of the rollercoaster; v = ?
We know that, Kinetic energy = 1/2× mass × velocity²
⇒ E = 1/2 × mv²
⇒ 4750000 = 1/2 × 7600 × v²
⇒ v = √(2×4750000/7600)
⇒ v = 35.36 m/s.
Hence, the velocity of the rollercoaster is 35.36 m/s.
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if this resolving power is diffraction-limited, to what effective diameter of your eye's optical system does this correspond? use rayleigh's criterion and assume that the wavelength of the light is 560 nm
The effective diameter of your eye's optical system is 2.33 mm.
According to Rayleigh criterion, angular resolution of eye is given by the expression,
Angular resolution = 1.22 λ / D
where, λ is the wavelength of light
D is the diameter of the eye
Angular resolution in degrees = 1.67 * 10⁻² (convert to radians)
⇒ 1.67 * 10⁻² *π / 180 radian = 29.13 × 10⁻⁵ radian
λ = 560 * 10⁻⁹ m
Let us substitute the values in the above expression,
29.13 × 10⁻⁵ = 1.22* 560 * 10⁻⁹/ D
D = 1.22* 560 * 10⁻⁹/(29.13 × 10⁻⁵) = 1.22* 56* 10⁻⁸ *10⁵/29.3 = 2.33* 10⁻³ m = 2.33 mm
Thus, the effective diameter of your eye's optical system is 2.33 mm.
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An 8 000-kg aluminum flagpole 100-m long i heated by the un from a temperature of 10°C to 20°C. Find the work done (in J) by the aluminum if the linear expanion coefficient i 24 ´ 10-6 (°C)-1. (The denity of aluminum i 2. 7 ´ 103 kg/m3 and 1 atm = 1. 0 ´ 105 N/m2
The work done by the aluminum in 216 Joules.
The ratio of the increase in length to the original length for each degree increase in temperature is called the coefficient of linear expansion. The coefficient of linear thermal expansion describes the change in the length of a material as a function of temperature. A distinction is made between the average thermal coefficient of expansion and the physical coefficient of linear expansion.
calculation:-
Work done = msT2 -T1
= 8000000 g × 2 × 1/000000 ( 20- 10)
= 600
density = 2.7
work done per unit = 600/2.7
= 216 jolues
The volume expansion coefficient is three times the linear expansion coefficient. Heating an object changes its dimensions. It depends on your body type. Expansion can be done in length in which case it is called linear expansion. Heating a square wafer causes expansion in two planes lengthwise and widthwise. We call this range dilation.
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high voltage power lines are usually supported by glass insulators. an electric current cannot flow through a piece of glass because
Glass is an insulator, meaning it does not allow electricity to flow freely. This is why glass insulators support high-voltage power lines - to prevent the electricity from flowing through the glass and causing a short circuit.
Glass is used as insulation in what situations?
Before newer materials, such as ceramic and fiberglass, became accessible, glass was a widely used electrical insulator in telephone and power lines. Glass insulators are now more frequently found at antique stores than in regular situations.Glass is a wonderful electrical insulator, but it also has a lot of other beneficial qualities. It is an effective thermal insulator.To learn more about glass insulators, follow the link https://brainly.com/question/27261557
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Typically, astronomers express the right ascension of a star on the sky in what units?.
Typically, astronomers express the right ascension of a star on the sky in hours, minutes, and seconds.
The positions of the stars in relation to one another are largely constant. Orion and Taurus are constantly converging. Draco is always near Ursa Minor. When we look at the sky, the stars are a never-ending backdrop painting that barely move in relation to one another.
There are some minute movements as we orbit the sun throughout the year. Stars closer to us move more left and right than stars farther away. It makes sense, even if it only has a small impact. If you keep your eyes fixed out into the distance as you walk down the street, you'll notice that objects farther away move less in relation to you than ones closer to you.
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a 100 000-lb freight car is drawn 2500 ft up along a 1.2% slope at constant speed. a) find the work done against gravity. b) if a constant frictional fo
The work done against gravity is 34563738.59 Joule.
Scientifically work done components will be given as, W = F × d. In this situation, the force exerted on the block is constant, but the course of force and the path of displacement stimulated by way of this pressure are exceptional. Force F reacts at a perspective θ to the displacement d.To express this concept mathematically, the work W is the same as the pressure f instances of the distance d or W = fd. If the pressure is being exerted at an attitude θ to the displacement, the work finished is W = FD cos θ.
If pressure is implemented on a system and the system studies a displacement then the work is said to be done at the gadget. If a gadget applies a force on something else and reasons displacement then the painting is said to be finished through the device.
Calculation:-
work done = force × displacement
= ma × 2500 ft
= 45359.237 kg × 762 meter
= 34563738.59 Joule.
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why can't we see a galaxy 15 billion light-years away? (assume the universe is 14 billion years old.)
We can't see any galaxies fifteen billion light-years away because looking fifteen billion light-years away means looking to a time before the universe even existed.
How was the universe created?The universe, according to science, began with an explosion of space itself (the explosion is called the Big Bang) around 13.8 billion years ago. Gravity, a fundamental force that pulls masses toward each other, gradually drew matter together to form the first stars and the first galaxies.
Cosmic inflation, which is an extension of the Big Bang, explains why the universe is so homogeneous (or evenly composed) and how galaxies are distributed across space.
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