light takes 100 million years to reach us from a galaxy that is 100 million light-years away. This fact has important implications to the study of the evolution of the universe, as you'll see in Part B 5 billion light-years
The correct answer is 5 billion light-years.
What number of galaxies are there?There were about 10,000 galaxies in this small area of the sky, all varying in size and shape. Astronomers estimated that there are between 100 and 200 trillion galaxies by multiplying this figure by how many times this tiny area of sky could fit into the sky.
Is Earth visible from Andromeda?About 2.5 million light-years away, Andromeda is the sole galaxy in the Local Group that is both more massive and has more stars than the Milky Way. Someone currently in Andromeda would.
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1. Why is it necessary to do a vector resolution problem using the force of Static Friction, in order to theoretically determine the Angle of Repose?
2. What does a very low Angle of Repose tell you about the kind of surface at play?
3. What does it tell you about the Coefficient of Static Friction?
Answer:
A stone is thrown up wards with an initial velocity of 25 m/s at an angle of 30 to the ground.
What happens when a cold piece of metal is placed in hot water?
heat will flow from the water to the metal
heat will flow from the metal to the water
temperature will flow from the water to the metal
temperature will flow from the metal to the water
Heat will flow from hotter region to the colder region. When a cold piece of metal is placed in hot water heat will flow from water to the metal.
What is heat transfer ?Heat energy will transfer between regions over a temperature gradient. Heat flows from hotter regions to colder regions to balance the total heat energy.
In solids, heat transfer takes place by conduction mechanism where one hotter molecules transfers the energy to nearest molecules in the closely packed chain. In liquids and gases, heat transfers through convection.
When a cold piece of metal is paced in hot water, the heat energy from the water will flow to the colder metal. Hence, the temperature of water will reduce.
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A large adult is teaching a small child to ice skate. The adult has five times the mass of the child. They stand facing each other on the ice and push against each other to coast backwards. Which of the following best describes the force of the adult on the child, the force of the child on the adult, and their initial velocities?
A. The forces form an action-reaction pair, and the child velocity is five times the velocity of the adult and in the opposite direction.
B. The forces form an action-reaction pair, and the adult velocity is five times the velocity of the child and in the opposite direction.
C. The forces do not form an action-reaction pair, and the child velocity is five times the velocity of the adult and in the opposite direction.
D. The forces form an action-reaction pair, and the adult and child coast away at velocities that are equal in magnitude but opposite in direction.
The answer to the question is Option A i.e. the forces form an action-reaction pair, and the child velocity is five times the velocity of the adult and in the opposite direction.
According to Newton’s third law of motion (every force has an equal and opposite reaction force), when two bodies interact, both of them apply forces on one another that are equal in magnitude but opposite in direction. This third law of motion by Newton is also known as the law of action and reaction and the forces form a action-reaction force.
Thus, when the adult pushes the child with a force of any magnitude, the child pushes the adult with the same magnitude force but in opposite direction thus the forces are a form of action-reaction pair.
as, F = ma and the forces are equal in magnitude for both, the velocity of the adult and that of the child have an inverse relation as that of masses of both, thus the velocity of child is five times that of the adult.
Thus, the answer to the question is Option A.
ALSO, the conditions follow the law only because the man and the child are standing on a frictionless floor i.e. ice so there is no static friction in play holding the heavier mass back for force to be nullified.
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Suppose we wanted to make a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter).
How far from the Milky Way Galaxy would the Andromeda Galaxy be on this scale?
Choose matching definition
O 1.4 km
O 25 cm
O as it was about 2 ½ million years ago
O in September
The Milky Way and Andromeda galaxies are roughly 2.5 million light-years apart. If we scale that down to the size of a marble, then the distance between the two galaxies would be 25 cm.
At what scale would the Local Group of Galaxies be represented in this model?In this scale model, the Milky Way Galaxy would be represented by a marble that is 1 cm in diameter. This means that the Local Group of Galaxies would be represented at a scale of 1/100,000th. This means that the Local Group of Galaxies would be represented at a scale of 0.00001, which is equivalent to 1 cm representing a distance of 100,000 cm or 1 km. Thus, if the Milky Way Galaxy was represented by a 1 cm marble, the Local Group of Galaxies would be represented by a 1 km sphere. This scale model would illustrate the immense size of the Local Group of Galaxies in relation to our own Milky Way Galaxy, which is only a small fraction of the Local Group's total size.To learn more about galaxies refer to:
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A high fountain of water is located at the center of a circular pool as shown in the figure below. A student walks around the pool and measures its circumference to be 34.8 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be = 60.0°. How high is the fountain?
m
The height of the fountain is 9.6 m.
What is the radius of the pool?
The radius of the pool is calculated by applying the formula for circumference of a circle.
P = 2πr
where;
r is the radiusr = ( P ) / ( 2π )
r = ( 34.8 ) / ( 2π )
r = 5.54 m
The height of the fountain is calculated as follows;
the angle of elevation, radius of the pool and the height of the fountain forms a right triangle.
let the height of the fountain = h
tan 60 = h / r
h = r x tan 60
h = ( 5.54 m ) x tan 60
h = 9.6 m
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When is a field study more appropriate that a laboratory experiment? Give a specific example.
A field study is more appropriate that a laboratory experiment when we need to know the real mining of unknown variables in a given outcome such as for example dark matter in space.
What are unknown variables in science?Unknown variables in science can be defined as variables that have yet to be identified or studied, either due to a lack of data or unknown factors.
Therefore, with this data, we can see that unknown variables in science such as the amount of Dark matter in the Universe are able to be shown by field (observational) studies.
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failure of 'o-ring' seals led to the tragic explosion of the of the challenger space shuttlehallenger space shuttle
O-ring seal failure caused the fatal magnitude the of the An O-ring, a spherical gasket used to seal the right rocket booster, was found to be the primary culprit in the mishap.
What big was the Challenger's failed O-ring?On the Challenger, the O-ring had a circumference of 12 feet. As the igniters ignite the fuel upon launch, there seems to be high pressure on the inside of the solid rocket boosters. The parts holding the O-ring flexed slightly as a result of the pressure.
Who of the following is best recognized for expressing grave worries about the O-ring months just before launch of the space shuttle Challenger?He was required to appear before an executive panel, and when he did, he informed the commission's chairman, William Rogers, that Morton Thiokol had been so worried about the Aaaaa that they had advised NASA not to launch the spacecraft in conditions that were cooler than 53 degrees.
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which of the following describes the proper way to fire a shotgun? a, raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target b, raise the shotgun to the cheek and back to the shoulder, on the side of the non-dominant eye and aim at the target raise the shotgun to the cheek and back to the shoulder, on the side of the non-dominant eye and aim at the target c, set the stock underneath the arm, on the side of the dominant eye and aim at the target set the stock underneath the arm, on the side of the dominant eye and aim at the target d, position the stock underneath the arm, on the side of the non-dominant eye and point at the target position the stock underneath the arm, on the side of the non-dominant eye and point at the target
The proper way to fire a shotgun is raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target.
Shotguns are generally fired at a target and not aimed like rifles. They discharge shells or loads that may include a propellant wadding followed by a slug, shot, or other type of specialized projectile.
It is possible to fire a conventional bullet from a shotgun, which typically fires a plastic "shell" filled with numerous projectiles called "shot." This is accomplished using a device known as a "sabot" .
This is a single bullet that is loaded into a shotgun shell and is protected by a plastic or foam cylinder. After being fired, the plastic or foam cylinders separate along pre-scored lines and fall away as the single bullet continues on its course.
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convert each of these given volumes to the missing units. remember to add a leading zero when necessary. do not include trailing zeros. l ml 0.01 100 62 1.02 912 0.55
To convert 1 liter (L) to milliliters (mL), you would multiply 1 by 1000, because there are 1000 mL in 1 L. Therefore, 1 L is equal to 1000 mL.
0.01ml=0.00001L,100mL=0.1L,62L=62000mL,1.02 L = 1020 mL,
912 mL=0.912 L,0.55 L = 550 mL.
How to convert these given volume to the mising units?
To convert 0.01 milliliters (mL) to liters (L), you would divide 0.01 by 1000, because there are 1000 mL in 1 L. Therefore, 0.01 mL is equal to 0.00001 L.
To convert 100 milliliters (mL) to liters (L), you would divide 100 by 1000, because there are 1000 mL in 1 L. Therefore, 100 mL is equal to 0.1 L.
To convert 62 liters (L) to milliliters (mL), you would multiply 62 by 1000, because there are 1000 mL in 1 L. Therefore, 62 L is equal to 62000 mL.
To convert 1.02 liters (L) to milliliters (mL), you would multiply 1.02 by 1000, because there are 1000 mL in 1 L. Therefore, 1.02 L is equal to 1020 mL.
To convert 912 milliliters (mL) to liters (L), you would divide 912 by 1000, because there are 1000 mL in 1 L. Therefore, 912 mL is equal to 0.912 L.
To convert 0.55 liters (L) to milliliters (mL), you would multiply 0.55 by 1000, because there are 1000 mL in 1 L. Therefore, 0.55 L is equal to 550 mL.
It's important to note that when converting between units of volume, the conversion factor is always the same, but the direction of the conversion can change depending on which unit is being converted to or from.
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a space stationis being builtin such a way that it can mimic earths gravity with centripetal acceleration, if the maximum tangetial velocity the ship can handle is 455 m/s. what should the radius of the ship be so the astronauts experience near earth gravity
One way to provide gravity in space is to spin a cylinder. The centripetal acceleration is provided by the normal force of the outside wall .
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime. However, the end result is as if a force was applied.
What unit is 9.8 gravity?The numerical value for the acceleration of gravity is most accurately known as 9.8 m/s/s. There are slight variations in this numerical value (to the second decimal place) that are dependent primarily upon on altitude.
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The spinning of a cylinder is one method of creating gravity in space. The outer wall's normal force produces the centripetal acceleration.
What makes gravity a force?But in a larger sense, gravity is a force because it represents the interaction that happens when two masses are in close proximity to one another. Fundamentally, the curvature of geometry and the passage of things through the stretched spacetime are what produce gravitational effects. However, the outcome appears to be the consequence of applying force.
What unit of gravity is 9.8?The most precise measurement of the gravitational acceleration is 9.8 m/s/s. This number has small fluctuations (to the first significant digit) that are mostly determined by altitude.
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Explain which of the four fundamental forces is responsible for a ball bouncing off the ground after it hits, and why this force has this effect.
The force responsible for the bouncing of the ball is the gravitational force.
According to Newton's law of universal gravitation, the gravitational force between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Gravity is the force with which objects are attracted to the earth. Example - Leaves and fruit fall from a tree to the ground due to gravity. Gravitational energy is the energy stored in an object due to its height above the Earth (for example, when the object is far from the ground or near it). It is a form of potential energy. An object's height above the ground gives it its gravitational energy. This force is responsible for the bouncing of the ball when it hits the ground.
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IS there an afterlife
Answer: Depends
Explanation:
It completely depends on your religion and beliefs. This is not a question you can truly answer since it's opiniative.
A 60.-kilogram man is pushing a 30.-kilogram lawn mower. Compared to the magnitude of the force exerted on the lawn mower by the man, the magnitude of the force exerted on the man by the lawn mower is
answer choices
O one-quarter as great
O one-half as great
O the same
O twice as great
O the same
The magnitude of the force exerted on the man by the lawn mower is equal in magnitude to the force exerted by the man on the lawn mower, thus the answer is the third option i.e. the same.
Following are the three Newton's Law of Motion:
First Law - Newton’s first law of motion states that if a body or a object is at rest or moving at any constant speed in a straight line, it will remain at rest or keep moving in that straight line at that constant speed unless it is acted upon by a force. This law is known as Law of Inertia.
Second Law - Newton’s second law of motion is a quantitative description of the changes that any force can produce/insert on the motion of a body. It states that the timely rate of change of the linear momentum of a body is equal in both the magnitude and the direction to the force imposed on it.
Third Law - Newton’s third law of motion states that when two bodies interact, they both apply forces to one another that are equal in magnitude and opposite in direction. This third law of motion is also known as the law of action and reaction.
Using principles of third law of motion, we can make that the man pushing the lawn mower applies the same amount of force (in magnitude) as the lawn mower applies on him, thus the answer to the question is the third option i.e. the same.
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a pharmacist is compounding a hazardous preparation in the primary engineering control of a buffer room. if the pressure of the ante room is 0.06 inches water column, the pressure in the buffer room must be ______ inches water column.
a pharmacist is compounding a hazardous preparation in the primary engineering control of a buffer room. if the pressure of the ante room is 0.06 inches water column, the pressure in the buffer room must be USP 797 inches water column.
What are the anteroom and buffer room's ISO levels?The gowning room and ante room must be Class 8 or better, and the buffer room must be ISO Class 7 or better (less than 352,000 particles-per-cubic-meter) (less than 3,520,000 particles-per-cubic meter).
The principal engineering control, which is situated in the buffer region, performs sterile compounding (also known as the clean room). The equipment used for non-sterile compounding is a containment ventilated device. Sterile compounding can be done for immediate use outside of an ISO 5 facility in an emergency.
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determine the average force that the fist exerts on the head. ccording to a report on traumatic brain injury, the force that a professional boxer's fist exerts on his opponent's head is equivalent to being hit with a 5.9 kg bowling ball traveling at 8.9 m/s that stops in 0.018 s .
The average force applied to the skull by the fist is 5.9 kg x 498 m/s2, or 2,945 N.
What is force?Force is an action that can cause an object to change its motion and/or shape. It can be an external force, such as gravity, or an internal force, such as friction. Forces can be applied by a single object, such as pushing on a wall, or they can be the result of two objects interacting, such as when two objects collide. Newtons are used to measure force, which is a vector quantity both with magnitude and direction.
F = m x a
formula a = (Vf - Vi) / t
Therefore, the average force that the fist exerts on the head is 5.9 kg x 498 m/s2, which equals 2,945 N.
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use the idea that vertical motion is independent of horizontal to predict which ball lands first. make sure that you base your prediction on the explanation that vertical motion is independent of horizontal motion.
A projectile moves both vertically and horizontally independently of one another. Therefore, regardless of their horizontal velocities, two objects falling under the influence of gravity from the same height will hit the ground at the same time.
Explain that vertical motion is independent of horizontal motion?The vertical force acts perpendicular to the horizontal motion and has no effect on it because perpendicular components of motion are independent of one another. The projectile as a result moves with a decreasing vertical acceleration and a constant horizontal speed. The principle that horizontal and vertical motions are independent, or that they have no bearing on one another, is the most crucial one in projectile motion. The amount of time needed for an object to move initially horizontally is equal to the amount of time needed for the object to reach its final height. As a result, a ball dropped from the same height and thrown horizontally will both arrive at the ground simultaneously.
Here,
A projectile moves independently in both the vertical and horizontal axes. Therefore, two objects falling under the influence of gravity from the same height will hit the ground at the same time regardless of their horizontal velocities.
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a circular thin ring of radius rr has a negative charge uniformly distributed around its circumference. which of the following is the best qualitative description of the electric potential moving along the central axis of the ring from a distance of 3r3r away to the center of the ring?
The electric potential moving along the central axis of the ring from a distance of 3r away to the center of the ring is decreasing. Thus, Option b is correct.
What is radius?Radius is a term used in geometry to describe the length of a line extending from the center of a circle to the edge of the circle. This line is also referred to as the radius of the circle. The radius is half the distance of the diameter, which is the line that goes from one side of the circle to the other. The radius is also used in other shapes such as ellipses, rectangles, and polygons.
This is because the electric field lines radiate outward from the circumference of the ring, and as a result, the electric potential is lower near the circumference and higher further away from the circumference. As one moves closer to the center of the ring, the electric potential decreases.
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Full question:
A circular thin ring of radius r has a negative charge uniformly distributed around its circumference. which of the following is the best qualitative description of the electric potential moving along the central axis of the ring from a distance of 3r away to the center of the ring?
a. Increasing
b. Decreasing
c. Accelerating
d. Retαrding
you are making a telephone out of two aluminum cans and some string. you can choose between two types of string: a 2-m length of thin cooking twine or a 2-m length of heavy rope, both used at the same tension. which type of string should you use so that you have the fastest wave speed in your telephone? (figure 1)
You should use the thin cooking twine to have the fastest wave speed in telephone.
What is wave speed?The wave speed in string is determined by tension in the string and the mass per unit length (linear density) of the string.
The speed of a wave in a string is given by ; v = sqrt(T/μ)
T -- tension and μ-- linear density.
When comparing the two types of string, thin cooking twine has smaller mass per unit length (linear density) than the heavy rope, so it would have faster wave speed.
The thinner the string, the less the density of the string and the faster the wave speed will be. Therefore, you should use the thin cooking twine to have the fastest wave speed in your telephone.
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When you park on a hill, the direction your ____ are pointed determines which direction your car will roll if the brakes fai
When you park on a hill, the direction your front wheel are pointed determines which direction your car will roll if the brakes fail
Option D is correct.
Adjust your front tires so that, in the event of a brake failure, all front wheels are always pushed away from or lightly contact the curb if there is no curb.
When you park on a hill, which direction is influenced by where you look?When going uphill and coming close to a curb, turn the front tires against the curb. and make use of the curb as a barrier by letting your car slowly drift backward until the left rear wheel is resting there.
On a hill, how do you park gradually?Turn the wheels to the curb.
Turn your vehicle away from the curb when parking uphill. Turn them so that they are facing the curb if you are parking downhill. Step on the brake while the vehicle is in neutral, then fully rotate the steering wheel in the desired direction.
Question incomplete:
When you park on a hill, the direction your ____ are pointed determines which direction your car will roll if the brakes fail.
A. Side mirror
B. doors
C.rear wheels
D.front wheels
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according to erikson, preschoolers' exuberant play and bold efforts to master new tasks break down when they .
Erikson believed that the adverse effect of early childhood was an excessively rigid superego that led to children feeling excessive guilt as a result of adults' excessive threats, criticisms, and punishments.
What is rigid?A body that does not deform or change shape is idealized as a rigid body. Formally, it is described as a group of particles with the property that their distance from one another does not change as the body moves. A solid body that neglects deformation is referred to as a rigid body. In other words, regardless of the forces acting on a rigid body, the distance between any two points remains constant over time. A metal rod serves as an illustration of a rigid body.
Here,
Erikson thought that an excessively rigid superego, brought on by adults' excessive threats, criticisms, and punishments, was the negative effect of early childhood, which caused children to experience excessive guilt.
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Daytime temperatures on Mercury are extremely hot because:
Choose all that apply
it is close to the sun
it has long days
it has volcanoes
one side faces the sun
it gives off internal heat
Mercury's Temperature is used to describe these given parameters.
What time is it in the day?
The time period known as "day" spans from the variable time of dawn to the time of darkness (roughly 6 o'clock). It is nighttime from sunset until sunrise. At midnight, each day officially begins. Just after midnight, AM (ante-meridiem, Latin for "before noon") starts.
How long are days?
While the exact number of daylight hours on any given year varies from location to location, there is an average of 12 hours of sunshine per day everywhere on Earth. The length of daylight each day is only about 12 hours near the equator of the planet.
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Two horizontal forces, 225 and 165 N, are exerted on box. If these forces are applied on same direction, find the net horizontal force on the box.
When two forces are applied in the same direction, we can use the vector addition to find the net force. The net force is found by adding the magnitudes of both forces.
In this case, the two forces are 225 N and 165 N, and they are applied in the same direction.
Therefore, the net horizontal force on the box is:
Net force = force 1 + force 2 = 225 N + 165 N = 390 N
This means that the net force acting on the box is 390 N when two horizontal forces, 225 N and 165 N, are exerted on the box in the same direction.
thurat the boiling point, the density of the liquid is and that of the gas is . how many liters of liquid nitrogen are produced when of nitrogen gas is liquefied at ? round your answer to significant figures.
When the melting point, liquid density, and gas density are specified, 1.360 L of liquid nitrogen is created.
We presume that the specified volume of gas is fully liquefied because no other requirements are provided (no equilibrium gas phase).
Determine the mass of nitrogen as follows:
241.0L * 4.566 g/L = 1100.406g.
Determine the amount of liquid nitrogen based on the mass determined in step 2:
Volume = mass/liquid density = 1100.406g/L = 1.360 L.
A liquid's density is a measurement of how heavy it is for the amount measured. When two liquids of identical weight or volume are weighed, the heavier liquid is more dense. A liquid that is less dense than water will float on the surface of the water if it is gently added to the surface.
The correct question is:
At the boiling point, the density of liquid nitrogen is 809 g/L and that of the gas is 4.566 g/L. How many liters of liquid nitrogen are produced when 241.0 L of nitrogen gas is liquefied at 77.36 K?
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The speed of light is ×2.998108/ms. How long does it take light to travel 90.cm?
Set the math up. But don't do any of it. Just leave your answer as a math expression.
Also, be sure your answer includes all the correct unit symbols.
Time=0.9/2.998*10^8 is the equation for how long it takes light to travel 90 cm.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. the speed at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
Here,
distance=90 cm=0.9 m
speed=2.998*10^8 m/s
thus time taken will be:
=distance/speed
time=0.9/2.998*10^8=0.10006 seconds
thus the expression is:
time=0.9/2.998*10^8
The expression for how long does it take light to travel 90 cm is time=0.9/2.998*10^8.
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1. the weights (in ounces) of 27 tomatoes are listed below. construct a modified boxplot for the data. identify any outliers. 1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6 2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9 2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2
Minimum, First Quarter, Median, Third Quarter, Maximum 1.700 2.500 2.700 2.752 2.950 4.200,the length (x) [1] 27 boxplot(x,main="Data boxplot")
How is identify any outliers?We may create the boxplot by doing the following:
Data provided
These procedures can be used to create the necessary boxplot.
Order the data set first.
1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6
2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9
2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2
2) Determine the median.
Since there are 27 variables, position 14 would be the median in this situation.
Average = 2.7
3) Determine Q1.
Below 2.7 are the following data values: 1.7 2.0 2.2 2.4 2.5 2.5 2.5 2.6 2.6. Their median falls in the centre: Q1 = 2.5
4) Determine Q3.
The following data values are found above 2.7: 2.8 2.8 2.8 2.9 2.9 3.0 3.0 3.1 3.3 3.6 4.2.
Their median is in the centre: Q3 = 2.95
5) Determine the maximum and minimum.
Min = 1.7, Max = 4.2
6) Determine IQR
IQR= Q3-Q1= 2.95-2.5=0.45
7) The boxplot's minimum and maximum values
IQR = 2.5-1.5*0.45=1.825; MWB = Q1-1.5
IQR = 2.5 + 1.5 * 0.45 = 3.17 UWB = Q3 + 1.5
8) Recognize outliers
Potential outlier values include those that exceed UWB and fall below MWB.
And using the R code below, we can create the boxplot:
> x<-c(1.7, 2.0, 2.2, 2.2, 2.4, 2.5, 2.5, 2.5, 2.6,
+ 2.6, 2.6, 2.7, 2.7, 2.7, 2.8, 2.8, 2.8, 2.9,
+ 2.9, 2.9, 3.0, 3.0, 3.1, 3.1, 3.3, 3.6, 4.2)
To recap: (x)
Minimum, First Quarter, Median, Third Quarter, Maximum
1.700 2.500 2.700 2.752 2.950 4.200
the length (x)
[1] 27
boxplot(x,main="Data boxplot")
And as you can see, the image below is also connected.
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A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is pivoted at the top. Determine the tensions in the rod (a) at the pivot and (b) at the point P when the system is stationary. (c) Calculate the period of oscillation for small displacements from equilibrium and (d) determine this period for L = 2.00m .
The tensions in the rod
(a) at the pivot is 2mg
(b) At the point P when the system is stationary is mg (1+y/L)
(c) The period of oscillation for small displacements from equilibrium.
(d) For L = 2.00m, t = 2.68 s
Does displacement have an impact on the oscillation period?As long as the spring is not stretched out of shape, the period T of the oscillating system is independent of the displacement from rest. The time it takes for a system to complete one oscillation before returning to its initial position is known as the period.
Does a rod have tension?
In physics, tension is defined as the pulling force that is transmitted axially through the use of a string, rope, chain, or similar object, or by the ends of a rod, truss member, or other similar three-dimensional objects. Tension can also be defined as the action-reaction pair of forces acting at the ends of the aforementioned elements.
(a) At the pivot,
F = mg + mg =2mg
(b) At the point P when the system is stationary,
F = mg (y/L) + mg = mg (1+y/L)
(c) The period of oscillation for small displacements from equilibrium,
(d) For L = 2.00 m
t = 2.68 s
The tension in the rod at the pivot is 2mg, and at the point P when the system is stationary is mg (1+y/L).
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Find the average power Pavg created by the force F. Express your answer in terms of the given quantities and, if necessary, appropriate constants. You may or may not use all of the given quantities (F, m, μk, t, s).
Let us now consider some questions that include numeric data.
A sled is being pulled along a horizontal surface by a horizontal force F⃗ of magnitude 600 N. Starting from rest, the sled speeds up with acceleration 0.08 m/s2 for 1 minute.
Part F
Find the average power Pavg created by the force F⃗ .
Express your answer in watts to three significant figures.
Find the instantaneous power P created by the force F⃗ at t=10s.
Express your answer in watts to three significant figures.
Average power Pavg created by the force F is 48 watts, instantaneous power P at t = 10s is 480 watts.
To find the average power created by the force F, we can use the formula:
Pavg = (Work done by the force) / (time interval)
The work done by the force F can be found using the formula:
Work = force x distance
The distance is the displacement of the sled, which can be found using the formula:
distance = (initial velocity + final velocity) / 2 * time
The sled starts from rest, so its initial velocity is 0 m/s.
We know that the acceleration of the sled is 0.08 m/s^2 and the time is 1 minute, which is 60 seconds.
So the final velocity is:
final velocity = 0 + 0.08 m/s^2 x 60s = 4.8 m/s
We know that the force F is 600 N, so the work done by the force is:
Work = F x distance = 600 N x (4.8 m/s) = 2880 J
We know that the time interval is 1 minute, which is 60 seconds.
So the average power created by the force F is:
Pavg = Work / time interval = 2880 J / 60s = 48 watts (to 3 significant figures)
To find the instantaneous power P at t = 10s, we can use the formula:
P = F x v
where v is the velocity of the sled at time t.
We can find the velocity of the sled at time t using the formula:
v = v0 + a*t
where v0 is the initial velocity (0 m/s), a is the acceleration (0.08 m/s^2) and t is the time (10s)
so we can substitute v = v0 + a*t
v = 0 + 0.08 m/s^2 x 10s = 0.8 m/s
We know that the force F is 600 N, so the instantaneous power P created by the force F at t=10s is:
P = F x v = 600 N x 0.8 m/s = 480 watts (to 3 significant figures)
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gantemede is jupiter's largest moon. determine the gravitational field strength on the surface of ganymede
The gravitational field strength on the surface of Ganymede is equal to 1.75 × 10^11 m/s^2. This is approximately 200 times the gravitational field strength of Earth.
What is gravitatonal field?Gravitational field is a region of space that is affected by the gravitational force of a massive object, such as a planet or star. It is the region in which any mass inside it experiences the force of gravity, and any mass outside of it does not. Gravitational fields can be measured in units called Newtons per kilogram (N/kg). The strength of the gravitational field is proportional to the mass of the object, with more massive objects creating stronger fields. In general, gravity is the weakest of the four fundamental forces, but it still has a profound effect on the behavior of matter and energy.
The gravitational field strength on the surface of Ganymede can be determined using Newton's law of gravity. According to this law, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the gravitational field strength on the surface of Ganymede is equal to the gravitational force of Jupiter divided by the square of the distance between them.
The mass of Jupiter is 1.898 × 10^27 kg and the distance between Jupiter and Ganymede is 1.07 × 10^9 meters. Therefore, the gravitational field strength on the surface of Ganymede is equal to 1.75 × 10^11 m/s^2. This is approximately 200 times the gravitational field strength of Earth.
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which of the following best describes why we have seasons on earth? view available hint(s)for part a which of the following best describes why we have seasons on earth? the tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter. the tilt of earth's axis causes different portions of the earth to receive more or less direct sunlight at different times of year. earth's elliptical orbit means we are closer to the sun and therefore receive more intense sunlight at some times of year than at others. the varying speed of earth in its orbit around the sun gives us summer when we are moving fastest and winter when we are moving slowest.
Thee tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter.
In this case, option A is correct.
Describe the seasons: Each season is a distinct time of year that can be recognized by special climatic characteristics. Every year, the seasons of spring, summer, fall, and winter follow one another. Each experiences cyclical patterns of light, climate, and weather every year.
Why are the seasons so important?
Soil saturation, precipitation patterns, river flows, lake concentrations, and snow cover are all impacted by seasonal variations in temperature and precipitation. Plants deteriorate and leaves fall as the wet and cold seasons approach. These alterations in the flora have an impact on the type and availability of food for humans and other animals.
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until he was in his seventies, henri lamothe excited audiences by belly-flopping from a height of 9 m into 31 cm. of water. assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 60 kg, find the magnitudes of the impulse on him from the water.
The magnitude οf the impulse is −1120 Ns.
How to calculate the magnitude of the impulse?In its simplest form, an impulse is a fοrce that has been gradually integrated. By dividing the force's magnitude by the length of time it is applied, we can calculate the impulse's size for a force with a constant magnitude.
From the infοrmation given, the fοllowing can be deduced:
Height = 10m
Mass = 64kg
The kinetic energy is calculated as 1/2mv² while pοtential energy is calculated as mgh. Frοm the law of conversation:
[tex]\mathrm{ \dfrac{1}{2} mv^2 = mgh}[/tex]
[tex]\mathrm{v = \sqrt{2gh} }[/tex]
[tex]= \sqrt{2} \times \sqrt{9.8 } \times\sqrt{9}[/tex]
= 13.28 m/s
The change in velocity will be;
= 80(0 - 14)
= 80 × (-14)
= −1120 Ns
In cοnclusion, the magnitude οf the impulse is −1120 Ns.
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