To calculate the maximum speed of the Bugatti Veyron, we can use the equation $F_d = \frac{1}{2} \rho v^2 c A$,
which relates the drag force $F_d$ acting on an object to the density of the fluid $\rho$, the speed $v$ of the object, the drag coefficient $c$, and the cross-sectional area $A$ of the object.
In this case, we are given the mass of the car, the drag coefficient, and the force that the engine can impart on the road, so we can solve for the maximum speed.
First, we need to convert the mass of the car to its weight, which is the force of gravity acting on the car. The weight of the car is given by the equation $W = mg$, where $m$ is the mass of the car and $g$ is the acceleration due to gravity.
We can convert the mass of the car from kilograms to newtons by multiplying it by $g$, which is approximately 9.8 m/s$^2$. This gives us a weight of $W = 1834 \text{ kg} \times 9.8 \text{ m/s}^2 = 17983.2 \text{ N}$.
Next, we need to calculate the cross-sectional area of the car. Since we are given the shape of the car and the drag coefficient, we can assume that the car has a streamlined shape with a length $L$ that is much greater than its width or height.
In this case, the cross-sectional area of the car is approximately equal to its width $w$ times its height $h$, or $A \approx wh$. If we assume that the width of the car is $w = 1.8$ meters and the height is $h = 1.2$ meters, then the cross-sectional area is $A \approx 2.16 \text{ m}^2$.
Now that we have all of the required information, we can solve for the maximum speed of the car. The maximum speed is achieved when the drag force acting on the car is equal to the force that the engine can impart on the road. This means that the maximum speed $v_\text{max}$ is given by the equation
$$F_d = \frac{1}{2} \rho v_\text{max}^2 c A = F_\text{engine}$$
where $\rho$ is the density of the air, $c$ is the drag coefficient, $A$ is the cross-sectional area of the car, and $F_\text{engine}$ is the maximum force that the engine can impart on the road.
We are given that the drag coefficient is 0.342 kg/m and the maximum force that the engine can impart on the road is 4522 N. The density of the air is approximately 1.225 kg/m$^3$ at sea level. Plugging these values into the equation, we get
$$\frac{1}{2} \times 1.225 \text{ kg/m}^3 \times v_\text{max}^2 \times 0.342 \text{ kg/m} \times 2.16 \text{ m}^2 = 4522 \text{ N}$$
Solving for the maximum speed, we get $v_\text{max} \approx 242.5$ m/s. This is the maximum speed of the Bugatti Veyron if we neglect all other sources of friction and assume that the car has a streamlined.
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why do most alpha particles fired through a piece of gold foil emerge almost undeflected, and why do others bounce backward?
The majority of alpha particles were found to pass directly through gold foil, suggesting free space makes the majority of atoms. Due to interactions with other + charged molecules inside atom are slightly deflected.
Why do alpha rays that strike the nucleus bounce back?The majority of a alpha particles were absorbed without being rejected by positively particles (protons) inside the nucleus, although some of them rebounded back. Positive attracts positive and vice versa.
Why did the majority of alpha particles pass through the foil unimpeded?The majority of alpha particles passing right through to the foil is proof that the atom is primarily made up of empty space. There is an concentration of alpha particles since only a limited number of them were deflected at great angles The atom has a positive charge.
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It’s science but I hope u know this
The statement that is correct is that all the carbon atoms in the glucose would end up in the palmitic acid. Option C.
What is a model?In science a model is used for the purpose of explanation. The model could be used to describe what is going on in the reaction system. We can see from the model that there is a combination of the molecule of glucose with the molecule of oxygen in the molecule.
Now, we can see that the bonds in the glucose that are carbon to carbon bonds are broken and then recombined in such a way that they now lead to the formation of the palmitic acid molecule.
By the law of the conservation of mass, the number of atoms of the reactant is equal to the number of atoms in the product. This would play out as we carry out an atom count of the reactants and the products.
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if material a has twice the specific heat of material b, compare the relative amount of heat required to raise the temperature of an equal amount of each by 1.0 degrees c.
if material a has twice the specific heat of material b then, If the specific heat is twice, it will need twice as much heat to raise it by 1 degree Celsius.
Specific heat is represented by the letter C and varies depending on the substance and phase. The amount of heat required to raise the temperature of 1 kg of mass by 1°C is known as the specific heat. The substance's characteristic is the specific heat c.
Heat capacity C is expressed mathematically as C=mc, where m is mass and c is specific heat. Keep in mind that heat capacity and specific heat are identical but independent of mass. As a result, the heat capacity of two objects constructed of the same material but of different masses will vary. This is so because while specific heat is a property of every object constructed of the same material, heat capacity is a property of an object.
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4. what happens to the orbital period as the star-planet distance increases? why do you think there is a relationship?
The orbital period would increase if Moto moved further away from the star because its orbital speed would decrease and it would have a larger orbit to traverse.
The orbital period is directly related to the average distance between the planet and the sun. This law means that the orbital velocity of a planet decreases with increasing distance from the Sun. For example, Mercury's orbital velocity is much faster than Pluto's.
The square of a planet's period is directly proportional to the cube of its orbital radius. This is because the closer a planet is to the Sun the faster it rotates to resist gravity. The squared ratio of the periods of any two planets is equal to the cubed ratio of their average distances from the Sun.
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A model for circuits Part 1: Current and resistance C. Light a bulb using a battery and a single wire. Observe and record the behavior (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit. (Try materials such as paper, coins, pencil lead, eraser. your finger, etc.) What is similar about most of the objects that let the bulb light?
The bulb glows when connected to some objects. But it does not glow when some objects like eraser, wood, plastic, etc,. are used to complete the circuit. Such materials are called insulators.
A substance in which electrical current cannot easily flow is referred to as an electrical insulator. The insulator's atoms contain closely bonded electrons that are difficult to move. Electric current can flow more easily through other materials, such as semiconductors and conductors. Insulators have greater resistivities than semiconductors or conductors, which is the characteristic that makes them stand out. The most frequent instances are non-metals.
Additionally, the brightness of the bulb varied depending on what was being utilized. The lamp, for instance, shone brightly when a hefty coin was used. The bulb's brightness diminished when a long, thin cable was employed. The bulb's brightness decreased as the pencil lead was utilized.
This is due to differences in the electrical resistance of various things. When the resistance is high, the current is reduced and the light from the bulb dims.
Metals dominate the items that made the lightbulb shine. In general, metals carry electricity well. The bulb would therefore be quite bright.
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establish an order-of-magnitude criterion which shows in what range of radius the flow may be regarded as inertia-free. express your criterion in terms of q and h together with any other necessary quantities
The standard way to express an order of magnitude is as 10 to the nth power where q/h is 0.01.
An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation. Order of magnitude is used to make the size of numbers and measurements of things more intuitive and understandable.
The order of magnitude is the power of 10 a number is raised to when it's in scientific notation. For example, the order of magnitude for 19,400 would be 4. This is because when we convert it into scientific notation, 1.94×104, the 10 is being raised to the 4th power.
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a spiral staircase in a building is in the shape of a helix of a radius 7 meters. between two floors of the building, the stairs make on full revolution and climb by 3 meters. a person carries a bag of groceries up two floors. the combined mass of the person and the groceries is 64 kg and the gravitational force is 64g downward, where g
The gravity of earth attracts all objects towards earth. If we throw a ball, and it comes back on earth it's because of gravity. But, if we pick up the ball again then we are doing a work against gravity. Hence, this is what is meant by work against gravity.
How to find work against gravity if we know the mass of the object and height at which it is thrown?
Work done against gravity is given by,
W = Fg×d×cos theta
here, Fg = force of gravity = weight = m*g
m = mass = 70 kg
g = 9.8 m/s^2
d = displacement = height = 2*4 = 8m
Cos theta = angle between force and displacement = 180 deg
So, W = 70*9.8*8*cos 180 deg
W = -5488 J
Thus work against gravity is -5488J
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The answer to the provided problem is -5017J, which indicates the person's effort against gravity.
What makes it gravitational force?Any two mass-containing objects are pushed to one another by the gravitational pull. Because it consistently attempts to bring masses together rather than pushing them apart, this centrifugal force is known as attractive.
Briefing:The amount of resistance to gravity that the individual puts out is equal to the variation in gravitational potential.
Therefore we can write:
W = mgΔh
where
The total mass of the person plus the groceries is m.
Gravitational acceleration, abbreviated g,
Δh is the change in height
In this problem we have:
The total mass of the guy and the goods is m = 64 kg.
g = 9.8m/s² is the speed due to gravity
Since the guy descended two levels, each of which is three meters, Δh = –6m.
Consequently, the effort made to defy gravity is
W = 64 * (9.8) * (-8) = -5017J
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The complete question is-
A spiral staircase in a building is in the shape of a helix of radius 7 meters. Between two floors of the building, the stairs make one full revolution and climb by 3 meters. A person carries a bag of groceries up two floors. The combined mass of the person and the groceries is 64 kg. Calculate the work done by the person against gravity.
(a) Calculate the ratio of the highest to lowest frequencies of electromagnetic waves the eye can see, given the wavelength range of visible light is from 380 to 760 nm. (b) Compare this with the ratio of highest to lowest frequencies the ear can hear.
The ratio of the highest to lowest frequencies of electromagnetic waves the eye can see is 2. The ratio of highest/lowest sounds is 1,000
Define wave frequency.
Wave frequency is the quantity of waves passing a particular place in a predetermined period of time. The hertz (Hz) unit of wave frequency in the SI stands for one wave crossing a fixed point in one second.
a). frequency = (speed) / (wavelength)
The speed of light is around 3 x 10⁸ m/s.
For 380 nm (violet light), frequency = (3 x 10⁸ m/s) / (380 x 10⁻⁹ m)
Frequency = 7.89 x 10¹⁴ Hz
For 760 nm (red light), frequency = (3 x 10⁸ m/s) / (760 x 10⁻⁹/s)
Frequency = 3.94 x 10¹⁴ Hz
Required ratio is 7.89 x 10¹⁴ Hz/ 3.94 x 10¹⁴ Hz
That is equal to 2 .
That's 1 octave, or 0.3 of a decade.
b). The ratio of highest/lowest sounds
highest sound frequency is 20,000 Hz
lowest sound frequency is 20 Hz
Required ratio is 20000/20 i.e. 1000
That's 3 decades, or about 10 octaves.
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for a spring oscillator of mass 1.5\;\mathrm{kg}1.5kg, spring constant 0.5\;\mathrm{n/m}0.5n/m and amplitude 0.5\;\mathrm{m}0.5m, what is the block’s speed when the spring’s displacement is 0.25\;\mathrm{m}0.25m?
0.25 m/sec is the block’s speed when the spring’s displacement is 0.25m.
What is simple harmonic motion?Simple harmonic motion is described as the periodic motion of a point down a straight line, with the acceleration of the point's motion constantly accelerating in the direction of a fixed point along the line and being proportional to the distance from the fixed point.
Spring-mass system is an example of simple harmonic motion.
Therefore, velocity or speed V is given by,
V = w [tex]\sqrt{A^2 - x^2}[/tex]
Where, A = amplitude
x = displacement
w = angular frequency
Now, w = [tex]\sqrt{k/m}[/tex]
Where, k = spring constant
m = mass
So, w = [tex]\sqrt{0.5/1.5}[/tex]
w = 0.577
w = 0.58
Therefore, velocity, V = [tex]0.58 \sqrt{(0.5)^2 - (0.25)^2}[/tex]
V = 0.58 × 0.433
V = 0.25 m/sec
So, the speed becomes 0.25 m/sec
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a jet engine emits sound uniformly in all directions, radiating an acoustic power of 3.59×105 w. find the intensity ???? of the sound at a distance of 40.9 m from the engine and calculate the corresponding sound intensity level ????. ????
As a result, the sound at the specified distance has a 47.16 W/m2 intensity.
What is meant by intensity in physics?The intensities of the a wave is the amount of energy it transports over a surface in a unit of time and size. It is also equal to the power density times the wave speed. Watts per sq m are typically used to measure it.
Briefing:P =3.59×10⁵ W, the jet engine's power; and r = 40.9 m, the sound's distance
The following formula is used to determine the sound's intensity at the specified distance;
I = P/ A
where;
I is the sound's amplitude, while P is its power.
A is the circumference of the area
I = P / 4πr²
I = 3.59×10⁵ / 4π (40.9m)²
I = 47.16 W /m².
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Two cars start at the same point and drive in a straight line for 5 km. At the end of the drive their distances are the same but their displacements are different. Explain.
5 km North and 5 km South are the same distance but different displacement.
What is displacement?
The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.
A 'displacement' always consists of a magnitude and a direction. The two cars you just described have displacements with the same magnitude ... 5 km. But if they didn't both drive in the same direction, then their displacements are different.
Remember:
-- 10 m/s² up and 10 m/s² down are different accelerations
-- 30 mph East and 30 mph West are the same speed but different velocity.
-- 5 km North and 5 km South are the same distance but different displacement.
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a solid cylinder rolls down an incline at 30^{\circ}30 ∘ from rest. part ashort answer correct 1 / 1 points what is its acceleration? number 3.26 unit m/s^2 1 of 5 attempts part bshort answer 0 / 1 points how far does it go in 3.0 s?
The solid cylinder travels 28.56 m in 3.0 s.
What is cylinder?
One of the most fundamental of curvilinear geometric shapes, a cylinder has traditionally become a three-dimensional solid. It is regarded as a prism with such a circle just like its base in basic geometry. In many contemporary branches of mathematics and topology, a cylinder can also be defined as just an infinitely curvilinear surface. There is some ambiguity in terminology because of the change in the fundamental meaning between "solid" and "surface" (as in "ball" and "sphere"). By making the distinction between solid cylinders as well as cylindrical surfaces, the two concepts can be separated. The unadorned term "cylinder" in the literature could be used to describe either of these or an even more specialised item, the right circular cylinder.
The distance the solid cylinder travels in 3.0 s can be calculated using the equation d = at^2,
where a is the acceleration and t is the time. In this case, a = 3.26 m/s^2 and t = 3.0 s.
Plugging these values into the equation, we get d = 3.26 * (3.0)^2 = 28.56 m.
Therefore, the solid cylinder travels 28.56 m in 3.0 s.
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Which scale would most likely be used to tell how much earthquake damage was done.
The Mercalli scale would most likely be used to tell how much earthquake damage was done to homes and other buildings.
The Mercalli Intensity Scale is a method of measuring earthquake intensity. It measures the damage from earthquakes and the observed effects.Lower numbers indicate intensity likely felt by people and higher numbers indicate damage to structures and buildings.To know more about scales visit:
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1. consider these three patterns of water waves: a b c a. describe the similarities and differences of the three patterns of water waves. b. experiment to make similar patterns, then explain how you can use the simulation to make each. 2. experiment to make waves of different interference patterns with water, sound, and light. explain how you created an interference pattern with two sources, and ways that you changed the pattern. include a few captured images from the simulation to demonstrate.
The motion of the water atoms in a wave is orbital. When the depth exceeds 50% of the wave's wavelength, the wave is said to be in deep water.
Are longer wavelengths common in all water waves?Wavelengths vary wildly between different types of waves. Surf waves in the ocean have a wavelength of 30–50 m, but tsunamis have significantly longer wavelengths (about 100km). Humans can hear sounds with wavelengths between 70 mm and 70 m, depending on the pitch of the sound.
Which three wavelengths are these?The medium (such as air, water, or a vacuum) through which a wave travels determines its wavelength. The periodic electrical signals in a conductor, sound waves, light waves, and water waves are all examples of waves.
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choose the correct statement regarding a double slit experiment. if the light wavelength becomes shorter, then the interference fringes move closer together. if the light wavelength becomes longer, then the interference fringes move closer together. if the slit distance is increased, then the interference fringes move further apart. if the slit distance is decreased, then the interference fringes move closer together. if the light wavelength becomes shorter, then the interference fringes move further apart
The correct statement regarding the double-slit test is a process wherein you possibly can display the wave nature of light.
Via feeding mild of the appropriate wavelength through a couple of slits with separation distances corresponding to the light wavelength, then interference styles will occur with various intensities that reduce as one measure in addition to the slits. If the slit together with the light supply is moved in the direction of the double slits, the brilliant fringes produced are brighter because the depth of the light passing through the double slit is more.
As the wave passes through each slit, it basically splits into two new waves, every spreading out from one of the slits. these two waves then intrude on each other. At some factors, in which a top meets a trough, they will cancel each different out. The smaller the wavelength is to the slits the nearer the fringes could be. were W=wavelength, D=distance from the slit to the display a=distance among the slits and x is the space between the slits. So x=WD/a in order for the wavelength to decrease so does the perimeter spacing.
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A student set up a test tube containing sodium bicarbonate and topped it with a volumeter, but forgot to add the Elodea plant! Which of the statements below gives the result that the student would be likely to observe?
A. The level of liquid in the volumeter would rise due to diffusion.
B. The level of liquid in the volumeter would remain constant since gas is being produced and used at the same rate.
C. The level of the liquid in the volumeter would remain constant since gas is neither being produced nor being used.
D. The level of liquid in the volumeter would fall since there is less mass in the test tube.
E. The level of liquid in the volumeter would fall since atmospheric pressure is greater than the pressure within the test tube.
The student would most likely observe the result that C. The level of the liquid in the volumeter would remain constant since gas is neither being produced nor being used.
Volumeter can be described as any instrument that is employed for measuring the volume of a solid, liquid, or gas.
Sodium bicarbonate when dissolved in water forms sodium hydroxide and carbonic acid. This carbonic acid breaks down further to form water and carbon dioxide gas.
The carbon dioxide produced can be used by the Elodea plant for photosynthesis which is a process in which carbon dioxide is used up to create oxygen and energy.
However, as the Elodea plant was not added in this case therefore the level of the liquid in the volumeter would remain constant since sodium bicarbonate is neither being produced nor being used up for photosynthesis.
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Accenture is one of several hundred companies that has signed on to the united nations global compact (ungc) business ambition pledge. what is the goal of this pledge? to donate to charity in exchange for exemption from regulations to keep global warming below a 1. 5 celsius increase from pre-industrial levels to reverse all effects of global warming within the next decade to switch entirely to solar power at all office locations worldwide i don't know this yet
The target temperature increase from pre-industrial levels is to keep global warming below 1.5 degrees Celsius.
Explain points about global warming ?The business also took part by signing the UN Global Compact Business Ambition for the 1.5° Pledge, which was signed by 1,100 companies.
They have sworn to uphold the Paris Climate Agreement and do our part to keep global warming below 1.5° Celsius.
They are dedicated to reducing emissions to zero.
Additionally, they emphasize neutrality by outlining the process of balancing their carbon emissions.
The warming of Earth's surface over time, seen since the pre-industrial era (between 1850 and 1900), is referred to as global warming.
This warming is a result of human activities, particularly the burning of fossil fuels, which raises the levels of heat-trapping greenhouse gases in the atmosphere. 'Climate change' should not be used in place of this phrase.
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6. A fossil contains 50 % of the carbon-14 it once had as a living creature. Use the half-life decay equation
to determine when the creature died. The half-life of carbon-14 is 5730 years.
The creature died 5730 year ago by using the half-life decay equation.
What is half life decay equation?Half life decay equation is defined as a characteristic unit for the exponential decay equation and remains constant over the course of an exponentially decaying quantity. The appropriate metrics for defining the life of decaying material are provided by the half-life formula.
The half life decay equation is
N = N₀ ( 1/2 ) t/t ¹/²
Let N = t/t ¹/²
So , N / N₀ = 1 / 2ⁿ
N₀ / N = 2ⁿ
N₀ / 0.50 N₀ = 2ⁿ
2ⁿ = 1 / 0.50
2ⁿ = nlog2
2ⁿ = log 1 - log 0.50
2ⁿ = 0 -( - 0.301 )
2ⁿ = 0.301
n = 0.301 / log 2
n = 0.301 / 0.301
n = 1
t1/2 = 5730
t = n x t1/2
t = 1 x 5730
t = 5730 years.
Thus, the creature died 5730 years ago by using the half-life decay equation.
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a household washing machine connected to a household 223 volt source draws 1 amp of current. what is the power (in watt) being supplied to the washing machine? use exact numbers; do not estimate.
The power supplied to the household washing machine connected to the 223 V source is 223 W.
Current = I = 1 A
Voltage = V = 223 V
We have to calculate power supplied to the household washing machine,
Power = P =
= Power = Voltage X Current
= P = V X I
= P = 223 X 1
= P = 223 Watt
Power is the amount of energy transferred or converted per unit time.
Thus, the power supplied to the washing machine by the source of 223 V which draws 1 A of current is 223 W.
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what is the diameter of the stream 0.210 m below the faucet? neglect any effects due to surface tension.
Water Emerges Straight Down From A 1.50 Cm Diameter Faucet At A Speed Of 0.800 M/S has a 0.210 m below the faucet diameter of -0.918cm.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval. A circle's diameter is defined as the distance between its opposing edges. Learn the diameter formulas and the connections between related metrics that are very significant.
H = (q/pi*v)^1/2
h = (141.37*10^-6/pi*2.1359
= 4.5905*10^-3m
d = 2h = 9.181*10^-3m
d = -0.918cm
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The complete question is -
Water emerges straight down from a 1.50 cm diameter faucet at a speed of 0.800 m/s. (Because of the construction of the faucet, there is no variation in speed across the stream. What is the diameter of the stream 0.200 m below the faucet? Neglect any effects due to surface tension.
the a string on a violin has a fundamental frequency of 440 hz. the length of the vibrating portion is 30.8 cm and has a mass of 0.343 g. under what tension must the string be placed?
Tension must the string be placed is 86.75 N.
What is Tension?
In physics, tension is defined as the pulling force that is transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.
f = 440 Hz
l = 32 cm = 0.32 m
m = 0.35 g = 0.35 x 10^-3 kg
μ = m / l = 0.35 x 10^-3 / 0.32 = 1.094 x 10^-3 kg/m
The formula for the fundamental frequency is given by
[tex]f=\frac{1}{2 l} \sqrt{\frac{T}{\mu}}$$[/tex]
Where, T be the tension
[tex]$$\begin{aligned}& 440=\frac{1}{2 \times 0.32} \sqrt{\frac{T}{1.094 \times 10^{-3}}} \\& 281.6=\sqrt{\frac{T}{1.094 \times 10^{-3}}}\end{aligned}$$[/tex]
T = 86.75 N
Thus, the tension in the string is 86.75 N.
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on a bicycle, two sprocket wheels are connected by a chain that moves with a constant translational speed as shown. the moving chain makes the sprocket wheels rotate. if the front sprocket has a diameter that is twice as large as the diameter of the rear sprocket, how do their angular velocities compare?
Answer: Angular velocity of the front sprocket is half of the rear sprocket's angular velocity
Reason:
Angular velocity is the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
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suppose reflected white light is used to observe a thin, transparent coating on glass as the coating material is gradually deposited by evaporation in a vacuum. describe some color changes that might occur during the process of building up the thickness of the coating.
A band of colors would form in the film due to the interference of waves reflected from its opposite surface.
What is interference ?In physics, interference refers to the combined result of two or more wave travelling along intersecting or converging trajectories. The outcome is the result of multiplying the individual wave amplitudes at each location where numerous waves have an impact.
According to the given definition
we got to know ;
A band of colors would form in the film due to the interference of waves reflected from its opposite surface.
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although we know less about dark matter in elliptical galaxies than we do in spiral galaxies, what does current evidence suggest?
Elliptical galaxies probably contain about the same proportion of their mass in the form of dark matter as do spiral galaxies.
How do we know elliptical galaxies have dark matter?Strong evidence suggests that dark matter, whose specific form is unknown but which exerts gravitational attraction, makes up the majority of the Universe's mass. All galaxies, in particular, are thought to be encased in enormous haloes of dark matter. The detection of unexpectedly low random stellar velocities in the periphery of typical elliptical galaxies, which had been interpreted as pointing to a paucity of dark matter, has recently called into question this theory. Here, we demonstrate that galaxy formation in dark-matter haloes is indeed compatible with the low velocities. We discover that the star orbits in the outer regions of the resulting ellipticals are extremely elongated using numerical simulations of disk-galaxy mergers.To learn more about galaxies, refer to
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A grinding wheel is a uniform cylinder with a radius of
8.50 cm and a mass of 0.380 kg. Calculate (a) its moment of
inertia about its center, and (b) the applied torque needed
to accelerate it from rest to 1750 rpm in 5.00 s. Take into
account a frictional torque that has been measured to slow
down the wheel from 1500 rpm to rest in 55.0 s
The total torque required to accelerate the wheel is 0.054 Nm.
What is the moment of inertia of the uniform cylinder?
The moment of inertia of the uniform cylinder is calculated by applying the following formula.
I = ¹/₂MR²
where;
M is the mass of the grinding wheel or uniform cylinder R is the radius of the grinding wheel or uniform cylinderI = ¹/₂(0.38)(0.085)²
I = 1.37 x 10⁻³ kgm²
The angular acceleration of the grinding wheel or uniform cylinder is calculated as follows;
α = ω/t
where;
ω is the angular speedω = 1750 rev/min x 2π rad/rev x 1 min / 60 s = 183.26 rad/s
α = (183.26 rad/s) / (5s)
α = 36.65 rad/s²
The torque required to accelerate;
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (36.65 rad/s²)
τ = 0.05 Nm
The frictional torque that is slowing down the wheel;
ω = 1500 rev/min x 2π rad/rev x 1 min / 60 s = 157.1 rad/s
α = (157.1 rad/s) / (55 s)
α = 2.86 rad/s²
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (2.86 rad/s²)
τ = 0.004 Nm
The total torque required to accelerate the wheel is calculated as;
τ(total) = 0.05 Nm + 0.004 Nm
τ(total) = 0.054 Nm
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a 0.500 kg copper cup is at 280 o k. if 2.5 x 104 j of energy is added to it, what is the final temperature in o k? the specific heat of copper is 387 j kg-1 oc-1 .
The final temperature of the copper cup is found to be 409.19° K.
The mass of the copper cup is 0.500 Kg and it is at a temperature of 280°K.
A total of 2.5 x 10⁴ J of energy is added to the system.
The final temperature of the system is let us say T.
Now, the change in energy will be given by,
∆Q = mC∆T
Where,
C is the specific capacity of copper.
Putting values,
2.5 x 10⁴ = 0.5 x 387 x(T - 280°)
T = 409.19°K.
So, the final temperature of the copper cup is 409.19°K.
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compare and contrast a current through a circuit with a static discharge. true or false: for the circuit, the charge travels through a wire. for a static discharge, the charge is transferred from one object to another.
Electrons flow continuously through a circuit when current is present.
A static discharge is a very quick, irregular transfer of charge.
Static discharge is the abrupt movement of electrons from one charged object to another.
Static discharge is the abrupt passage of electrons. The spark you see and the jolt you experience are both caused by an electron discharge.
For the circuit, the charge travels through a wire.-True
For a static discharge, the charge is transferred from one object to another.-True
What is charge?The basic unit of electricity is charge (or, more precisely, electric charge).
Everything in electricity is a charge.
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.
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A rescue helicopter lifts two people using a winch and a rescue ring. The mas of the two people is 120 kg. The winch is capable of
The maximum mass that a helicopter winch can lift is 204 kg.
In order to maximize the effectiveness and safety of winching operations, the winch is mounted on the aircraft's side facing the pilot. The winch cable is 90 meters long, and it can handle a maximum load of 600 pounds or 272 kilograms.
Winches have a 2000 N lifting capacity. The formula W = mg, which equals weight in newtons, mass in kilograms, and gravity's acceleration in meters per second squared, or 9.8 m/s2, can be used to convert it to mass.
W = mg
2000 N = m * 9.8 m/s^2
m = 2000 N / 9.8 m/s^2
m = 204 kg
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The full question is
A rescue helicopter lifts two people using a winch and a rescue ring. The mas of the two people is 120 kg. The winch is capable ofexerting a 2000-N force. What is the maximum mass it can lift?
an object is traveling with a constant velocity with no unbalanced forces acting upon it. what do we expect this object to do?
We anticipate that this item will shift direction while maintaining its current speed.
Explain about the constant velocity?An object has constant velocity when the magnitude and direction of the rate at which its position is changing remain unchanged. In other words an item must have a constant speed throughout time in addition to a constant direction of motion in order to have a constant velocity.
The units of distance per time are constant velocity. The velocity informs you of the rate of change in your position or the rate of change in distance over time.
Newton's first law states that unless acted upon by a net external force, an object at rest will remain at rest and an object in motion will continue to move at a constant speed.
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a noisy machine in a factory produces a decibel rating of 76 db. how many identical machines could you add to the factory without exceeding the 85 db limit?
The factory without exceeding the 85 dB limit n =10.
A factory is described as a building, or a group of buildings wherein goods are synthetic via a system. however, the industry is defined as the branch of economics wherein raw substances, goods, and offerings are produced.
The sound level in decibels is
β dB = 10 log ( I / Io )
where I am the intensity of sound
It is the relative intensity
80 = 10 log ( I / 10-12 )
8 = log ( I / 10-12 )
10 8 = I / 10-12
I = 10 8 . 10 -12 = 10 -4 W /m2
if the sound level is 90 dB, the number of identical machines is n.
90 = 10 log ( n I / Io )
= 10 logs ( n . 10-4 / 10 -12 )
9 = log ( n . 108 )
10 9 = n. 10 8
n = 10.
so n =10 .
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