While measuring the weight of 48 turtles' weights with a mean weight of 34 ounces and a population standard deviation of 4.4 ounces, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is +- 0.634
Given:
The sample size or the number of total turtles, [tex]n=48[/tex]
The mean of the weights of the sample of 48 turtles, [tex]x=34[/tex]
The population standard deviation is the diffference between each value of the sample and the sample mean.
Population standard deviation[tex]=4.4[/tex]
Confidence interval= 90% [tex]=0.90[/tex]
Significance level[tex]= 1- confidence[/tex][tex]=1-0.90=0.10[/tex]
The critical value of a statistical distribution is the value of the test statistic which defines the upper and lower bounds of a confidence interval, or which defines the threshold of statistical significance in a statistical test.
The critical value, [tex]z=\frac{n-x}{deviation} =\frac{48-34}{4.4} =3.181[/tex]
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
The closest z value from the z table corresponding to critical value =3.181 is [tex]z=0.99926[/tex]
The margin of error, [tex]E=z*\frac{deviation }{\sqrt{sample size} } =0.99926*\frac{4.4}{\sqrt{48} } =0.634[/tex]
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a) at what relative velocity is ? b) at what relative velocity is ? express your answers as percentages of the speed of light.
When compared to another observer, an object's relative velocity is its speed.
What is relative velocity used for?When compared to another observer, an object's relative velocity is its speed. It is the pace at which the relative position of one thing in relation to another object changes over time.
What are relative velocity and its measure?It is a measurement of how quickly two items are moving in relation to one another. Calculating relative velocity requires taking into account the velocity of object A in relation to object B. Meter per second (m/s) is the SI unit for relative velocity. Relative velocity has a dimension of M0L1T-1.
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It takes a car 1. 75 h to go from mile marker 10 to mile marker 115. What is the average speed of the car? responses 1. 6 mph 1. 6 mph 60 mph 60 mph 65 mph 65 mph 183 mph.
The car travels at an average speed of 60 mph the entire way.
The parameters are as follows:
t = 1.75 hours for the car's motion;
[tex]x_{1}[/tex] = 10 miles for its initial position, and
[tex]x_{2}[/tex] = 115 miles for its final position.
The following formula is used to determine the car's overall mileage:
Distance traveled =[tex]x_{2} -x_{1}[/tex] = 115 miles - 10 miles = 105 miles
Thus, the distance traveled is 105 miles.
The following formula is used to determine the vehicle's average speed during the entire journey:
Average Speed = Distance traveled/Time Taken
Average Speed = 105 miles/ 1.75 hours = 60 miles per hour
As a result, the car travels at an average speed of 60 miles per hour.
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the swirling gas that collects around a compact object, as its binary companion transfers material to it, is called
NOT an event horizon is its binary counterpart, which transports matter to it.
What is an object in a sentence?To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.
What is a picture or an object?Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.
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two particles are separated by a certain distance. the force of gravitational interaction between them is f0 . now the separation between the particles is tripled. find the new force of gravitational interaction f1 . express your answer in terms of f0 .
According to the given statement the force would be F0=9×F1.
What does the term "gravitational" mean?involving or pertaining to the attraction between two components: Ocean tides rise and fall due to the moon's gravitational pull. of or pertaining to a strong inclination or movement in the direction of something or someone: There has been a lot of research on why they gravitate toward harmful conduct.
What is gravitational force, for instance?The force that now the earth applies to a body is referred to as gravitational force. The downhill and upward motion with water in rivers and streams, as well as the upward motion of something like a ball when it's thrown, are examples of motion brought on by gravitational force.
Briefing:Isaac Einstein's universal law general gravitational is the formula that describes the attraction forces between two masses (m) that are separated from one another by a distance (r) (F=Gmm/r2).
Using the values listed in the question as a guide:
F0= Gm₁m₂÷r²
F1=Gm₁m₂÷(3r)²
We obtain by dividing F0 but also F1:
F0=9×F1
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an electric utility company supplies a customer's house from the main power lines 120 v with two copper wires, each of which is 80.0 m long and has a resistance of 0.108 per 300 m. (a) find the voltage at the customer's house for a load current of 110 a.
At the customer's home, the voltage (potential difference) for such a load current at 110 an is 116 V
What is the difference in electric potential, explained simply?Electron pressure is quantified by the electric potential difference, commonly referred to as voltage. Because of their mutual repulsion, it is dependent on how closely the particles are packed and may be viewed as a measurement of "how desperately the electron want to move."
Briefing:P.d. at the house = Source P.d. - P.d in the lines
Also, Potential difference, V = current * resistance
Let the resistance be R:
R/(80 + 80)m = 0.108 Ω/300 m
R = 0.0576 Ω
P.d. in the lines = 110 * 0.0576 = 6.34V
P.d. at the house = 120 - 6.34= 113.66
P.d. at the house = 113.66 V
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a driver should not try to pass a large vehicle when that vehicle is making a turn because the driver will not be visible to the driver of the large truck. a) on the left b) on the right c) at all d) all of the above
When a large truck is turning, a driver shouldn't attempt to pass it on the right since the large truck's driver won't be able to see them.
What makes it a driver?The term "driver" has a history dating back to the 15th century and is used to describe a person who drives working animals, particularly pack or draft horses.
What exactly does a driver do?Transporting goods or people safely from one place to another is the primary duty of a driver. They must adhere to traffic regulations and plan their route properly, and they must always get enough fuel in the tank to get where they're going.
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You redo the primitive yo yo experiment (Figure 1), but instead of holding the free end of the string stationary, you move your hand vertically so that the tension in the string equals 2M /3. What is the vertical acceleration of the yo yo's cena of mass? Does it accelerate upward or downward? Express your answer to three significant figures and include the appropriate units. Enter positive value of the acceleration is directed upward and negative value if the acceleration is directed downward.
The vertical acceleration of the yo yo cena of mass is 0.66 m/s².
We know that, T = M*a
And T is given as 2M/3
2M/3 = M*a
So, a = 0.66 m/s²
Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate either by increasing the speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.
You cannot possibly be accelerating if you don't also change you direction and speed, regardless of how swiftly you are travelling. Due to this, a jet experiences no acceleration even when it is moving at a high speed. In this case, 800 miles per hour, because its velocity is constant.
When it lands, the jet will accelerate as it slows down and quickly come to a stop.
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what is the magnetic field created by a solenoid of length 0.5 m and with 2000 turns, if the current through it is 1.5 amps?
A 0.5 m long, 2000 turn solenoid will produce a magnetic field of 7.53*10-3 t if 1.5 amps of current flow through it. The vector field that describes the magnetic influence is called a magnetic field.
on electric currents, electric charges, and magnetic materials in motion. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow.
B = 4*PI*10^-7*2000*1.5/0.5
B = 7.53*10^-3 t
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A force of 570 N keeps a certain ideal spring stretched a distance of 0.900 m.
Part A:
What is the potential energy of the spring when it is stretched 0.900 mm?
Express your answer with the appropriate units.
Part B:
What is its potential energy when it is compressed 9.00 cm?
Express your answer with the appropriate units.
Hooke's law states that the elongation of a material is proportional to the applied stress within the elastic limits of the material.
Using Hooke's law
F = kx
570 = k * 0.9
k = 712.5 N/m
(a) energy at x = 0.8 m
U = 0.5 k x^2 = 0.5* 712.8* 0.8^2
U = 228 J
(b) U = 0.5 * 712.8* 0.09^2
U = 2.887 J
Elastic potential energy is the potential energy released as a result of the deformation of an elastic body. B. Spring extension is stored. This is equal to the work done to stretch the spring, which depends on the spring constant k and the stretched distance. The force exerted by the spring is the restoring force that helps return the spring to its equilibrium length.
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what is the minimum energy required for the craft to leave the orbit and escape the moon’s gravitational field?
The correct answer is 202035.8 x 10⁵ J.
If M be mass of moon and m be mass of spacecraft
potential energy of moon -spacecraft system
= - G M m / R where R is radius of orbit of spacecraft
kinetic energy of spacecraft in the orbit
= 1/2 m v² = GMm / 2R
Total energy of spacecraft
= GMm / 2R - G M m / R
= - GMm / 2R
for spacecraft to leave the orbit, energy required
= GMm / 2R
= 6.67259 x 10⁻¹¹ x 7.36 x 10²² x 14800 / (2 x 1.79877 x 10⁶)
= 202035.8 x 10⁵ J .
Therefore, the minimum energy required to leave the orbit is 202035.8 x 10⁵ J.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: When it orbited the Moon, the Apollo 11 spacecraft’s mass was 14800 kg, and its mean distance from the Moon’s center was 1.79877 × 106 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass 7.36 × 1022 kg. Given the gravitational constant G is 6.67259 × 10−11 N m2 /kg2 , what is the minimum energy required for the craft to leave the orbit and escape the Moon’s gravitational field?]
in a collision between a 50-ton bulldozer and a compact car, which vehicle will experience the greater impact force?
The vehicle that weighs less will be hit harder in a collision between two moving objects at the same speed; the more massive and heavy the vehicle, the more energy and momentum it will generate.
Which vehicle will experience the greater force of impact?When two objects come into contact, a force of impact is created. The impact or striking power of your vehicle increases with speed. According to the rules of physics, speed increases cause an increase in the force of impact. A car's force of impact will therefore increase four times if its speed is doubled. The impact increases ninefold when the speed is tripled. Consequently, hitting something at these speeds is equivalent to crashing off a one-, four-, or nine-story building, respectively.In a collision between two moving objects at the same speed, the lighter object will be hit harder since its energy and momentum are greater than those of the heavier one. The lighter, smaller vehicle will decelerate more quickly and might even be propelled in the opposite direction from where it was originally moving.To Learn more About vehicle that weighs less refer to:
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Which of the following refers to the motion of an object falling straight down
with only the force of gravity acting on it?
OA. Free fall
OB. Air resistance
OC. Gravity
OD. Projectile motion
Answer:
D
Explanation:
projectile motion
is the answer
the diagram shows a cube of marble. each side of the cube is 2cm in length calculatee the volume of the cube in cm3
Answer:
8cm^3
Explanation:
2^3=8, so therefore we've got our answer of 8cm^3.
Hope I helped!
The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is?.
The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is 0.8 N.
What speed is terminal velocity?The speed that an object reaches when it freely falls through a gas or liquid is known as the terminal velocity. A parachutist who waits to open the chute will typically reach a terminal velocity of around 150 miles per hour (240 km/h). A mist of minute oil droplets settles with an incredibly low terminal velocity, whereas raindrops fall at a considerably lower terminal velocity. An object compelled to go faster than its terminal velocity will slow down to this constant velocity upon release; an object dropped from rest will increase its speed until it achieves terminal velocity.Therefore, an object reaches terminal velocity when its speed is no longer growing or decreasing and its acceleration (or deceleration) is zero.To learn more about velocity, refer to
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the maximum speed of a child on a swing is 4.9 m/s. the child's height above the ground is 0.70 m at the lowest point in his motion. how high above the ground is he at his highest point
1.925 m high above the ground is he at his highest point.
As per the question,
V=4.9 m/s
h= 0.70 m (child's height above the ground at the lowest point in the motion)
Height of the child above the ground at his highest point=h’
H=h’-h
1/2mV²=mgH (g=9.8m/s²)
V²=2gH [V=2g(h’-h)]
V=√ 2×9.8×(h’-0.70)
(4.9)²=19.6(h’-0.70)
24.01=19.6h’-13.72
37.73=19.6h’
37.73/19.6=h’
1.925=h’
What is motion?In physics, motion is defined as a change in a body's position or orientation over time. Translation is the term for motion along a line or a curve. Rotation is another motion that modifies a body's orientation.
What is periodic motion?Periodic motion is defined as a motion that repeats at regular periods of time.
The motion of a youngster on a swing is periodic because the motion of a swing also repeats after short intervals.
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what is the greatest distance, measured from the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope?
The greatest distance that is measured from the the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m
How to solve for the greatest distance
We would have to solve for the tensile strength first.
The tensile strength is given as: T /A
The radius = diameter / 2
= 7 / 2
= 3.5
area = πr²
=We would have to solve for the maximum force from here
6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1
Next we would have to solve for the greatest distance
The net torque is given as 0
F(max) x L = m*g*x
2309.1*3.5 = 600*9.8*x
8081.85 = 5880x
divide through to get the value of x
x = 8081.85 / 5880
= 1.37m
Therefore, the greatest distance measured is 1.37 m.
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the names of several eras that are used to descried the history of the universe. Rank the eras from left to right in the order in which they occurred from first to last.
1. era of nucleosynthesis - fusion created helium nuclei
2. particle era - protons, neutrons both common
3. era of nuclei - H, He nuclei and electrons existed, but no neutral atoms
4. era of atoms - neutral atoms existed, but not stars
5. era of galaxies - stars and galaxies common
6. Planck era - all 4 forces operated as one
7.electroweak era - 3 forces operated: gravity, strong, electroweak
8. GUT era - strong, electroweak forces unite as GUT force
From first to last: Planck era, GUT era, electroweak era, particle era, era of nucleosynthesis, era of nuclei, era of atoms, era of galaxies
These are the rank of eras that are used to describe the history of the universe according to cosmology, from first to last:
Planck eraGUT eraElectroweak eraParticle eraEra of nucleosynthesisEra of nucleiEra of atomsEra of galaxiesHow does the history of the universe according to Hubble’s law?The universe is expanding and becoming more complex than its beginning. Using Hubble’s law, we can trace the earliest moments of the universe as far back as 10^-43 s after the Big Bang.
These are a little overview of each era that hypothetically happened in our universe:
Planck era. Four basics of nature (gravity, strong and weak nuclear force, electromagnetic) were unified into a single super force.GUT era. Gravity freezes out and was distinct.Electroweak era. Strong nuclear force was distinct.Particle era. Particles started to form.The era of nucleosynthesis. Helium was created by nuclear fusions.The era of nuclei. The electrons were not yet bound to be nuclei.The era of atoms. The first star was born after electrons form neutral atoms.The era of galaxies. The formation of galaxies started.A further explanation is can be seen in the attached picture.
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for a parallel flow double pipe heat exchanger insulated from its surroundings, the mean outlet temperature of the initially cold fluid can exceed the mean outlet temperature of the initially hot fluid.
The final heat of your substance can be calculated by adding the temperature change to the starting point.Your water's final temperature would be 24 + 6, or 30 degrees Celsius, for instance,if the temperature was 24 degrees when it began.
What is the formula for the beginning temperature?Simple: Change in temperature divided by initial temperature.Grams are used to express the mass.T=TfTi, where Transfer function is the final temperature while Ti is the initial temperature, gives the change in temperature.
What distinguishes initial from final?In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.
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photons in a beam of light with wavelength l have momentum p. if the wavelength is doubled, the momentum is:
When a beam of a photon with wavelength (λ) is doubled, momentum (p) will be halved.
What is Wavelength?
The distance in a wave between a given position and the same point in the following wave cycle. This can be from peak to peak, from trough to trough, from null to null, etc. The formula E = hν = hc/λ, where E is energy, h is Planck's constant, is frequency, c is the speed of light, and is the wavelength, relates wavelength to energy and frequency.
What is Momentum?
The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. The amount of motion and the speed of the motion are the two factors that determine how much momentum an item possesses. The factors of mass and velocity affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.
Momentum = mass • velocity, (p = mv)
Hence, When a beam of a photon with wavelength (λ) is doubled, momentum (p) will be halved.
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a train is moving at a speed of 65 mph. the ticket collector is walking 2 mph toward the rear of the train. how fast, in mph is the ticket collector moving from the point of view of an observer on the side of the tracks?
On the side of the tracks, the ticket collector is traveling at a speed of 63 mph.
In physics, what is the speed?The rate at which the position of an object changes in any direction. Speed is defined as the relationship between a distance and the time it takes to travel that distance. Speed is a scalar quantity because it only has a direction and no magnitude.
The speed of an object can be determined by calculating the distance it covers in a given amount of time. For instance, if a car travels 70 miles in an hour, it is doing so at a speed of 70 miles per hour.
Vt,g = Vt,T + `VT, g
Vt,T = -2mph VT, g = 65mph
Vt,g = -2 mph + 65mph = 63 mph.
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I need a detailed answer
The mass of the beam, given that the beam is balanced is 400 g
How do I determine the mass of the beam?First, we shall re-conctruct the diagram given to better understand what we are looking for. Please see attached photo.
In the attached photo,
M is the mass of the beamNote: The mass of the beam act at the centre of the beam
Now, we shall determine the mass of the beam as follow:
Clock wise moment = M × 10Anti-clock wise moment = 200 × 20Mass of beam (M) =?Anti-clock wise moment = Clock wise moment
200 × 20 = M × 10
4000 = M × 10
Divide both sides by 10
M = 4000 / 10
M = 400 g
Thus, from the above calculation, we can conclude that the mass of the beam is 400 g
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suspended matter that floats in the air, such as ash, soot, mold spores, and road dust, is known as particulates. t/f
Yes, it is true that suspended matter that floats in the air, such as ash, soot, mold, spores ane road dust, is known as particulates.
Particulate can be defined as a particle which is extremely small in size and his suspended in the atmosphere.
The particles of dust, ash, soot, mold, spore and road dust are some of the particle which are very small in size and comes into the category of particulate.
This particulate matters adds up to the air pollution of the atmosphere.
This is why we can conclude that the statement given to us is completely true.
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A 30-cm-diameter, 1.4 kg solid turntable rotates on a 1.4-cm-diameter, 450 g shaft at a constant 33 rpm. When you hit the stop switch, a brake pad presses against the shaft and brings the turntable to a halt in 12 seconds. Part A How much friction force does the brake pad apply to the shaft?
0.628N friction force is applied by the brake pad to the shaft when a 30-cm-diameter, 1.4 kg solid turntable rotates on a 1.4-cm-diameter, 450 g shaft at a constant 33 rpm and when you hit the stop switch, a brake pad presses against the shaft and brings the turntable to a halt in 12 seconds.
To determine the friction force applied by the brake pad to the shaft, first we need to calculate the moment of inertia of the solid turn table. Let's consider the moment of inertia of turn table as a disk then -
I = MR²/2
where M= mass of the turntable=1.4 kg
R= radius of the turntable
= diameter of the turntable/2
R= 30cm/2 = 15cm or 0.15m
substituting the value -
I = 1.4kg*(0.15)²/2
I = 0.0157kg-m²
When we hit the stop switch, a brake pad presses against the shaft and brings the turntable to a halt in 12 seconds so the acceleration (α) will be-
α = (ωf-ωi)/t
The initial angular speed (ωi) of the turntable = 33rpm or 3.45rad/s
The final angular speed (ωf) of the turntable = 0 rad/s
so,
α = (0 rad/s - 3.45 rad/s)/12s
α = -0.28rad/s²
Now, the frictional force applied by the brake pad is-
Torque = I x α
from dynamics of rotational motion
r x f = I x α
f = (I x α)/r
where r = radius of the distance from the pivot point so
1.4cm/2 or 0.007m
f = (0.0157kg-m²) * (0.28 rad/s²)/ 0.007m
f = 0.628N
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Nasa’s orion spacecraft, which left earth last week, flew within 81 miles of the surface of which celestial body on monday?.
Nasa’s Orion spacecraft, which left earth last week, flew within 81 miles of the surface of the moon on Monday as part of Artemis I mission.
What is the Artemis I mission?On Nov. 16, 2022, Artemis blasted off on a nearly month-long mission to orbit the moon and return to Earth. Although there are no humans on board, the mission is meant to prepare the way for crews to land on the moon in the future. On November 21, 2022, flying day six of the Artemis I mission, the Orion spacecraft captured this monochrome image of the moon with its optical navigation camera. NASA's mission controllers lost touch with Orion when it passed behind the moon, as expected. Due to complications with the fuelling process, bad weather, and other factors, earlier launch attempts had to be scrubbed.On Monday, NASA's Orion spacecraft sped past the far side of the moon, coming within 81 miles of the surface.To learn more about Artemis I mission , refer:
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in your drawings for the field of the bar magnet, where are the field lines closest together? where are they farthest apart? what is the significance of a concentration of field lines?
The magnetic field is the strongest at the poles of a magnet, so the lines are closer to each other at poles, and farthest at the center outside the magma.
Magnetic lines being close together mean a strong magnetic field and lines far apart from each other mean a weak magnetic field.
Magnetic field lines are like streamlines in fluid flow, they represent something continuous, and a different resolution would show more or fewer lines. Various phenomena have the effect of displaying magnetic field lines as though the field lines were physical phenomena.
Magnetic field Magnetic field strength is one of two ways that the intensity of a magnetic field can be expressed. Technically, a distinction is made between magnetic field strength H, measured in amperes per meter (A/m), and magnetic flux density B, measured in Newton-meters per ampere (Nm/A), also called teslas (T).
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What is the Goldilocks zone?
A. It is the depth within the Earth’s crust where gold can be found.
B. It is a range of distance from a star where temperatures are right for liquid water to exist.
C. It is the distance from a star where pressures are right for an atmosphere to form.
D. It is the temperature range where porridge is just right.
The Goldilocks zone is a range of distance from a star where temperatures are right for liquid water to exist (option B).
What is the Goldilocks zone?The Goldilocks zone is a zone around a star where a planet could experience temperatures like those on Earth, allowing for the possible existence of liquid water and of life.
The Goldilocks Zone also called habitable zone refers to that range of distance with the right temperatures for water to remain liquid.
Only one planet so far is known to be habitable for life and that planet is Earth. On Earth, water is a critical ingredient for life.
If a planet’s orbit takes it too close to its parent star, then it will be too hot for liquid water to exist, and if it’s too far out it will be too cold. However, the actual distances involved, that define habitable or Goldilocks zone vary between stars.
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A carnival game consists of a two masses on a curved frictionless track, as pictured below. The player pushes the larger object so that it strikes the stationary smaller object which then slides follows the curved track so that it rises vertically to a maximum height, hmax. The masses are equipped with elastic bumpers so that the impact between them is an elastic collision. If the larger object has a mass, M = 7.76 kg and the smaller object has a mass of m = 1.86 kg, then with what velocity, v0, should the player release the larger object so that the smaller object just reaches the target maximum height of hmax = 3.0 m above the horizontal portion of the track?
Velocity 1.90 m / s , v0, should the player release the larger object so that the smaller object just reaches the target maximum height of hmax = 3.0 m above the horizontal portion of the track.
What is Velocity?
The directional speed of an item in motion, as measured by a specific unit of time and viewed from a certain point of reference, is what is referred to as velocity.
In this exercise we are given the maximum height data, with energy we can know how fast the body came out
Final mechanical energy, maximum height
EMF = U = m g h
Initial mechanical energy, in the lower part of the track
Em₀ = K = ½ m v²
Em= EMF
½ m v² = m g h
v = √ 2gh
Now we can use the moment to find the speed with which objects collide
The large object has a mass M = 5.41 kg a velocity starts v₁₀, the small object has a mass m = 1.68 kg an initial velocity of zero v₂₀ = 0 and final velocity v
Initial before the crash
p₀ = M v₁₀ + 0
Final after the crash
pf= = M v1f + m v
po=pf
M v₁₀ = M v1f + m v
As the shock is elastic the kinetic energy is conserved
[tex]$$\begin{aligned}& K_0=K_f \\& 1 / 2 M v_{10}{ }^2=1 / 2 M v_{1 f^2}+1 / 2 m v^2\end{aligned}$$[/tex]
Let's write the system of equations
[tex]$$\begin{aligned}& M v_{10}=M v_{1 f}+m v \\& M v_{10}{ }^2=M v_1 f^2+m v^2\end{aligned}$$[/tex]
We cleared vif in the first we replaced in the second
[tex]$$v_{1 f}=\left(\mathrm{M} \mathrm{v}_{10}-\mathrm{mv}\right) / \mathrm{M}$$[/tex]
M v₁₀² = M (M v₁₀ - mv)² / M² + m v²
M v₁₀² = 1 / M (M² v₁₀² - 2mM v v₁₀ + m² v²) +m v²
v₁₀² (M - M) + 2 m v v₁₀ - v² (m2 + m) / M = 0
2 m v₁₀ - v (m + 1) m/ M = 0
v₁₀ = v (m +1) / (2M)
Let's substitute the value of v
v1₁₀= √ (2gh) (m +1) / (2M)
Let's calculate
v₁₀ = √ (2 9.8 3) (1+ 1.68) / (2 5.41)
V₁₀ = 7.668 (2.68) / 10.82
v₁₀ = 1.90 m / s
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Determine the energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state.
The energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state is numerically equal to energy of the electron at that orbit.
What are energy levels of electron in an atom?An electron shell, also known as a primary energy level, is the orbit of one or more electrons around the nucleus of an atom in chemistry and atomic physics. The "1 shell" (also known as the "K shell") is the shell that is closest to the nucleus.
The "2 shell" (also known as the "L shell"), "3 shell" (also known as the "M shell"), and so forth are the shells that are further and more away from the nucleus. The shells are either labelled alphabetically with X-ray notation letters or with the primary quantum numbers (n = 1, 2, 3, 4...) (K, L, M, N...).
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suppose you were to find all of the angles 8 at which two very narrow slits separated by a/2 would produce minimum. how would this set of angles be different from the set of angles given by your equation in part iii above?
The set of angles given by the equation in Part III is the set of angles at which the maximum intensity of light is produced.
What is intensity?
In physics, the power transmitted per unit area is known as the intensity as well as flux of radiant energy, where the area has been measured on a plane parallel to the direction of the energy's propagation. Kw per square metre (W/m2) and kilogrammes per square metre (kg/s3) are the units used in the SI system. With waves like acoustic waves (sound) as well as electromagnetic waves like light or radio waves, intensity is most frequently used to describe the average power transfer above one period of the wave. Other situations where energy is transmitted can also be described in terms of intensity.
The set of angles at which two very narrow slits separated by a/2 would produce minimum would be different. This set of angles would be the angles at which destructive interference occurs, which is 180° apart from the angles at which constructive interference occurs.
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uppose a binary star system consists of two stars of equal mass. they are separated by 360 million km and take 5.0 earth years to orbit about a point midway between them. what is the mass of each?
When two stars in a binary star system are separated by 360 million kilometers and orbit one another in earth years, their masses are equivalent (5.56×10²⁵kg. kilograms apiece).
What is binary star system?A binary system is simply one in which two stars are gravitationally connected to one another and circle around a shared center of mass. In reality, most stars are a part of binary systems. Others stars may be in binary systems up to 85% of the time, and some may even be in triple or higher multiple systems. A pair of stars that are gravitationally bound to one another and are orbiting one another is known as a binary star. Visual binaries are astronomical pairings of stars that, to the unaided eye, appear to be one object but, when observed through with a telescopes, appear to just be two stars.
Do we live in a binary star system and which star is a binary star system?Our Sun is a peculiar star since it is a single star existing by itself. However, there is evidence to suggest that it formerly had a binary twin. According to recent findings, the majority of stars—if not all—have twins when they are born. (We already understood how bizarre the Solar System is.
Alpha Centauri, the nearest star system to Earth, contains the binary stars Alpha Centauri A and Alpha Centauri B.
Briefing:Kepler's third law of planetary motion,
F(c)=F(g)
F(c)=m4π⁴ r 1/2 T²
F(g)=G (m₁ m₂)/r²
Since, F(c) = F(g), then
m4π² r 1/2 T²=G (m₁m₂)/r²
4π²r 1/2 T²=G m²/r²
m2=4π² 1/2 r²/(T² G)
put the values in the formula,
m=4π² ((1.8×10¹¹)(3.6×10¹¹ )²)/((1.5768×10⁸ )² (6.67×10⁻¹¹ )
m= 4π^2 (2.333×10³⁴)/(1.658×10⁶ )
m = 5.56×10²⁵kg
Therefore, mass of the each binary-stars separated by 360 million km is 5.56×10²⁵kg.
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