A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. It takes the ball 3.63 s to strike the ground.
Vertical Motion:Because the object is moving downhill vertically, the motion has a negative acceleration value as well as a negative velocity value.
A quadratic function with concavity downwards can be used to represent both this kind of motion and the motion of the object thrown above.
Answer and justificationh = h0 - v0t - [tex]\frac{gt^2}{2}[/tex]
so putting all the values, we have,
0 = 122 - 15.8t - 4.9 [tex]t^{2}[/tex]
then we know the formula,
t= [tex]\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex] here a=-4.9 b= -15.8 c =122
now putting all the values, we have
t= 3.63 s
So, In 3.63 seconds, the ball lands on the ground.
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Astronauts brought back 500 lb of rock samples from the moon. how many kilograms did they bring back? 1 kg = 2.20 lb 227 kg 227 kg 498 kg 498 kg 500 kg 500 kg 1,100 kg
The correct option is (b) 227 kg.
The 500 lb rock samples the astronauts carried back from the moon weighed 227 kilograms.
Briefing :As with the end goal of exploring the New World, colonization, rather than just sitting back on Earth and contemplating what autonomous spacecraft report back, is the ultimate goal of going into space: to work and live there.It's one of the hardest jobs in the world to get. You are not almost certainly guaranteed to travel to space even if you are selected to be an astronaut.Many of the people selected to be "astronauts" never made it, despite the fact that hundreds of humans have visited space.The astronaut transported a 550 lb sample.
2.20lbs = 1 kilogram.
1 lbs = 1/2.20
Since, 1 lb = 0.45 kg,
500 lb almost equals 227 kg.
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35. Vector A has a negative x component 3.00 units in
M length and a positive y component 2.00 units in length.
According to the given statement the value of :
a - [tex]\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}[/tex]
b - θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰
c-[tex]\overrightarrow{\mathrm{B}}=3.00 \hat{\mathrm{i}}+6.00 \hat{\mathrm{j}}[/tex]
What purposes do vector?In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector.
Briefing:The component description of A is just restated to constitute the answer to part (a):
A[tex]_x[/tex] = -3.00 , A[tex]_y[/tex] = 2.00
(a) [tex]\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}[/tex]
(b) [tex]|\overrightarrow{\mathrm{A}}|[/tex] = √(A[tex]_z[/tex]² + A[tex]_y[/tex]²) = √( (-3.00)² + (2.00)²) = 3.61
θ = tan -1 [tex]\left(\frac{\mathrm{A}_{\mathrm{y}}}{\mathrm{A}_{\mathrm{x}}}\right)[/tex] = tan-1 [tex]\left(\frac{2.00}{-3.00}\right)[/tex] = -33.7⁰
θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰
(c) R[tex]_x[/tex] = 0, R[tex]_y[/tex] = -4.00 and [tex]\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}[/tex] thus [tex]\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}[/tex] and
B[tex]_x[/tex] = R[tex]_x[/tex] -A[tex]_x[/tex] = 0-(-3.00) = 3.00,
B[tex]_y[/tex] = R[tex]_y[/tex] - A[tex]_y[/tex] = -4.00-2.00= -6.00
therefore [tex]\overrightarrow{\mathrm{B}}=3.00 \hat{i}+6.00 \hat{j}[/tex].
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The complete question is -
Vector A has a negative x component 3.00 units in length and a positive y component 2.00 units in length. (a) Determine an expression for A in unit-vector notation. (b) Determine the magnitude and direction of A. (c) What vector B when added to A gives a resultant vector with no x component and a negative y component 4.00 units in length.
The Earth's gravitational field strength, g = 9.81 N kg-1, is also sometimes given as the acceleration due to gravity, g = 9.81 m s-2. Show that these units are equivalent.
The units N kg-1 and ms^2 are equivalent.
What are dimensions?In physics, we often use the idea of dimension to establish the fact that a physical relationship is correct. It could also be used to obtain correct unit of a given physical quantity.
Now we have to obtain the dimensions of N kg-1 from the fact that;
N = Kgms^2 this implies that;
Kgms^2(kg-1) = ms^2
Hence, the units N kg-1 and ms^2 are equivalent.
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Answer:
Explanation:
dimensions of N kg-1 from the fact that;
N = Kgms^2 this implies that;
Kgms^2(kg-1) = ms^2
Hence, the units N kg-1 and ms^2 are equivalent.
What is the device called that uses special weights and magnetic fields to measure the movement of the ground?.
A seismograph is a device called that uses special weights and magnetic fields to measure the movement of the ground.
A seismograph is a particular device that records seismic waves caused by an earthquake, explosion, or other earth-shaking events. Seismographs have electromagnetic sensors that convert ground motions into electrical changes that are processed and recorded by the instrument's analog or digital circuits.
The terms "seismograph" and "seismometer" are frequently used interchangeably; however, while both devices can detect and measure seismic waves, only a seismograph can record them. A seismogram is a record produced by a seismograph on a display screen or paper printout.
Although originally designed to detect natural earthquakes, seismographs have a wide range of applications, including petroleum exploration, research into the Earth's crust and lower layers, and monitoring volcanic activity.
Seismographs are devices that record the movement of the ground during an earthquake. They are installed on the ground as part of a seismographic network all over the world.
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A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is __
A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is less
What is velocity?Velocity is defined as a vector measurement of the rate and the direction of motion, simply, velocity is the speed at which something moves in one direction. The speed of a car traveling north on a major freeway and the speed a rocket launching into the space can both be measured using velocity.
The SI units for the velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time, and the other units include miles per hour (mph), kilometers per hour (k/h), and kilometers per second (km/s).
At highest point the velocity of football is 0 as it is neither moving up or moving down for a moment so it is less than initial velocity. Magnitude of initial and final velocity is maximum in projectile motion.
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According to stefan's law, how many times more energy per unit area does the hotter body radiate per second?
According to Stefan’s law, a hotter body radiates 68 times more energy per unit area per second
As per Stefan’s law, Fhotter/Fcooler = 68
What is Stefan’s law?The Stefan law or the Stefan-Boltzmann law, states that the total radiant heat power that is emitted from a surface per unit area at the absolute temperature is directly proportional to the fourth power of its temperature.
The unit used in Stefan’s law is σ which equals to Wattm−2k−4
This law was formulated by Josef Stefan in 1879 through his experimental studies and again by Ludwig Boltzmann in 1844 from thermodynamic considerations.
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Using a _____ microscope, cells appear as translucent objects against a bright background
Cells can be observed under a brightfield microscope as translucent objects against a vivid background.
By translucent items, what do you mean?Objects that are translucent allow some light to pass through them. Translucent materials include certain polymers and frosted glass. Only a portion of the light that strikes transparent materials goes through. It takes the materials some time for the light to flow through them. Waxed paper, thin plastic sheets, butter paper, and vegetable oil are a few examples of translucent materials. This mnemonic should help you remember when to use transparent because transparent objects are clear and light may readily pass through them. The thing would be translucent if light still enters it, but it is less noticeable. An opaque object is one through which no light can flow.
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To ensure the uniqueness of values in a nonprimary key column, use the ____ command to create an index.
To ensure the uniqueness of values in a nonprimary key column , use the Create Unique Index command to create an index.
What is refraction or index ?The ratio of the speed of light in a vacuum (c) to the speed of light in a medium (c') is known as the index of refraction (n). The propagation vector in the new medium has a different angle with respect to the normal as a result of this difference in speed when light travels from one medium to another at an angle.
The average value of units that are not homogeneous and may therefore be impacted by changes in the mix of items as well as by changes in their prices are measured by a unit value index, which is a "price" index.
Refractive index, commonly known as the index of refraction, is a measurement of how much a light beam bends when it passes through one medium and into another.
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True or false the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation
True the total torque on the loop is the same regardless of what is chosen as the position of the vertical axis of rotation.
What is torque?The term torque may also refer to the moment, moment of force, rotating force, or turning effect, depending on the topic of study.
In physics and mechanics, torque is the rotational equivalent of a force. It serves as an example of how a force can alter a body’s rotational motion.
Archimedes, who investigated the use of levers, is credited with creating the saying, “Give me a lever and a place to stand, and I shall move the Earth.”
Similar to how a linear force is either a push or a pull, a torque may be thought of as a twisting of an object about a specific axis. The sum of the force times its magnitude is the definition of torque.
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What differentiable functions have an arc length on the interval [a,b] given by the following integrals? note that the answers are not unique. give all functions that satisfy the conditions.
The functions such as non-vertical, continuously differentiable, non-vertical tangent satisfy the conditions.
What are differentiable functions?In mathematics, a differentiable function of one real variable is a function that has a derivative at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain.
A smooth, differentiable function lacks any breaks, angles, or cusps (it is locally well approximated as a linear function at each interior point).
If the derivative f'(x 0) exists, a function f is said to be differentiable at x0 if x0 is an inner point in the domain of the function.
In other words, the point (x0, f(x0)) on the graph of f has a non-vertical tangent line. If f is differentiable at every point along U, then U is said to be differentiable.
If the derivative off is also a continuous function over the domain of the function ff, then f is said to be continuously differentiable.
In general, if f’s initial k derivatives are f prime (x), f prime (x), and lots, f(k)(x), then f is said to be of class Ck. f prime (x), f prime (x), lots, and f (k) prime (x) exist and are continuous across the function’s domain.
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Friction is a force caused by the contact of one surface on another.
a. true
b. false
Friction is a force caused by the contact of one surface on another: a. true
The Friction force is the force that opposes the displacement of an object or body on a contact surface. The greater the opposition the contact surface exerts on the displacement of an object, the greater the frictional force.
The general formula for the friction force is:
Fr = μ * N * Uv
Where:
Fr= Frictional forceμ= Friction coefficient. It is a dimensionless value that depends on the nature and treatment of the substances in contact.N= Modulus of the normal force.Uv = Unit vector in the direction and sense of the velocity vector.What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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What fraction of the mass of the milky way galaxy is in a form that astronomers have been able to see?
The astronomers have been able to see a 10% of the milky way galaxy's mass
The Milky Way is a large spiral galaxy where the solar system and the Earth are located. It takes its name for the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth. According to astronomers, it has a mass of 10¹² solar masses and, by its shape, it is a barred spiral galaxy.
What is the galaxy?It is a large area of gas, dust and billions of stars and their solar systems all held together by gravity that makes up a universe.
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At speeds over 30 mph, you should maintain a following distance of at least ________ behind the vehicle ahead of you.
At speeds over 30 mph, you should maintain a following distance of at least three full seconds behind the vehicle ahead of you.
As a general rule and common sense at a speed of 30 mph you can leave three full seconds so that you can achieve a prudent distance between the car you are driving and the car in front in order to be able to perform some kind of maneuver if an accident or unforeseen event occurs.
To count the full three seconds you can use the technique of counting the Mississippis as follows: Mississippi one, Mississippi two, Mississippi three.
What is an accident?An accident is an unexpected event that generally causes damage, injury or negative consequences.
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Cascading style sheet rules are comprised of: ________
a) elements and attributes
b) selectors and declarations
c) selectors and attributes
d) properties and declarations
Cascading style sheet(CSS) rules are comprised of selectors and declarations.
What is Cascading style sheet?When describing the display of a document published in a markup language like HTML or XML, Cascading Style Sheets (CSS) is the language utilized (including XML dialects such as SVG, MathML or XHTML). Along with JavaScript and HTML, CSS is a key component of the World Wide Web. Layout, color, and font customization are all possible with CSS, which is made to separate display from content. By defining the pertinent CSS in a separate file, this separation can make content more accessible, give definition of presentation characteristics more freedom and control, and allow numerous web pages to share formatting.
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Hardy-weinberg equilibrium requires that the population size is and that mating is:________
In order for Hardy-Weinberg equilibrium to exist, a large population size and random mating are necessary.
How does Hardy-Weinberg equilibrium differ depending on population size?Hardy-Weinberg equilibrium requires an extremely huge population, one of indefinite size. To counteract the effects of genetic drift, this condition is necessary.Genetic drift is defined as a shift in a population's allele frequencies that happens by chance rather than as a result of natural selection.In a Hardy-Weinberg equilibrium, does random mating occur?The Hardy-Weinberg Law asserts that both allele frequencies and genotype frequencies stay constant from generation to generation in a large, random-mating population that is not impacted by the evolutionary processes of mutation, migration, or selection.
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Measuring human proportions on skeletal remains from ancient sites as well as among modern human populations is known as:_________
Measuring human proportions on skeletal remains from ancient sites as well as among modern human populations is known as: anthropometry
The anthropometry is the part of science that studies the proportions of the human body, using non-invasive methods such as the measurement of body mass, height and width.
By using anthropometry it is possible to assess the size, proportions and composition of the human body which gives a measure that reflects the nutritional state of health and allows predicting the performance, health and survival of the individual under analysis.
What is body mass?It is the amount of mass associated with a person's body
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The patagonia region of chile and argentina features a large, elongated glacier approximately 90 km (56 mi) wide and 360 km (224 mi) long. this is an example of a(n):_________
The Patagonia region of Chile and Argentina features a large, elongated glacier approximately 90 km (56 mi) wide and 360 km (224 mi) long. this is an example of a(n): Ice field
The Patagonia region of Chile and Argentina is characterized by the largest ice fields in South America.
An ice field is a large mass of ice that covers part of the land.
What is Patagonia?The Patagonia is an area located in South America which is shared by Chile and Argentina.
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A typical galaxy contains 100 billion stars. express this in scientific notation.
A typical galaxy contains 100 billion stars - its scientific notation is x 10^11 stars.
What is typical galaxy?A world is a gravitationally bound arrangement of stars, heavenly leftovers, interstellar gas, residue, and dim matter. The word is gotten from the Greek galaxias, in a real sense 'smooth', a reference to the Smooth Way world that contains the Planetary group. Cosmic systems, averaging an expected 100 million stars, range in size from diminutive people with under a hundred million stars, to the biggest worlds known supergiant's with one hundred trillion stars, each circling its universe's focal point of mass. Our world, the Smooth Way, is normal: it has many billions of stars, enough gas and residue to make billions additional stars, and somewhere around tenfold the amount of dull matter as every one of the stars and gas set up. Also, it's completely kept intact by gravity. Like more than 66% of the known universes, the Smooth Way has a twisting shape.
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There is a bell at the top of a tower that is 40m high. The bell weighs 12kg. The bell has ___________________ energy. Calculate it.
Answer:
Potential
Explanation:
hope this helps
An astronomer observes two ordinary stars. the first one turns out to be twice as hot as the second. this means that the first one radiates:________
Two common stars are observed by an astronomer. It turns out that the first one is twice as hot as the second. This indicates that the first emits around 16 times as much energy as the second.
Describe about astronomers?Astronomers are specialists in the field of astronomy, which is the study of celestial bodies and phenomena. They use various methods to explore and understand space beyond Earth, including using telescopes, satellites, and mathematical models.
They also compile data on different astronomical objects into comprehensive databases that can be used by researchers all over the world. This helps us to better understand our universe and how it works. Additionally, astronomers work towards developing new technologies that will help us probe further into space. As we continue to learn more about our galaxy and its many inhabitants, astronomers have a significant role to play in informing society about these discoveries.
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Which of the following describes the length of a football field using the metric system?
Disclaimer:
Rugby is known as the football in the United States of America
Soccer is known as football in United Kingdom and rest of the world.
The question is also incomplete as no options have been mentioned
A football field in United States of America is the field of rugby and its measurement in metric system is 91.44 meters in length and 64 meters in width
A soccer field as per the standards set by FIFA is 108 meters in length and 68 meters in width
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Which of these talents is an HR employee MOST likely to need?
A.
the ability to envision retirement
B.
an interest in how unions work
C.
the ability to work independently
D.
an interest in helping people
HELP PLEASE
Most active galactic nuclei are powered by:_____.
a. supermassive black holes.
b. a large number of supernovae.
c. mergers of compact objects.
c. black hole mergers.
d. extra-terrestrial civilizations.
Most active galactic nuclei are powered by: a. supermassive black holes.
A supermassive black hole is a type of huge black hole with a mass that can be millions to billions of times the mass of the Sun.
It is also known as SMBH or SBH. And inside of the back hole is a place where the material is compressed down to an enormously tiny point, and all the ideas of time and space completely break down.
What is a black hole?A black hole is a very dense space in which gravity becomes so strong that not even light is able to get out, this is because matter is compressed into a very small space. A black hole is usually formed from the remains of a star that dies in a supernova.
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When describing motion, what is a frame of reference? (1 point)
O Any numerical measurement of the motion.
O The point of origin of the motion
OA system of reference points used to determine position and velocities of objects.
O An x-y grid with yourself at the origin.
C. When describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.
What is frame of reference?A frame of reference is an arbitrary set of axes with reference to which the position or motion of something is described or physical laws are formulated.
What is the importance of frame of reference?Frame of reference serves a valuable purpose, because it enables us to make more accurate measurement of our position, displacement, velocity and the total distance traveled.
Also, a frame of reference consists of an abstract coordinate system and the set of physical reference points that uniquely fix the coordinate system and take measurements within that frame.
In other words, it is a system or base, on which motion of an object is determined.
Thus, when describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.
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Collin is doing research on animals that camouflage to see what type of camouflage pattern is best for the military to use. what type of research is this? applied descriptive quantitative experimental
Answer: applied
Explanation:
The vernal equinox is now just entering the constellation aquarius. In what constellation will it lie in the year a. D. 10000?.
The vernal equinox during the year 10000 AD will be in the Scorpio constellation
A complete cycle of precession is finished once every 25800 years. Because there are 12 constellations, it takes 2150 years to travel from one to the next. The vernal equinox travels from Aquarius to Sagittarius, Scorpio, Capricorn, Libra, etc.
The year is 2022 AD, and the vernal equinox has just entered the constellation Aquarius. It would have managed to enter the Capricorn constellation in 4172 AD, the Sagittarius constellation in 6322 AD, the Scorpio constellation in 8472 AD, and the Libra constellation in 10622 AD. This means that it remains in the constellation Scorpio in 10000 AD and has yet to enter the constellation Libra.
As a result, the vernal equinox during the year 10000 AD will be in the Scorpio constellation.
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what properties do all mechanical waves share?
On mars, the acceleration due to gravity is 3.77 m/s2. how far would a 47 g rock fall from rest in 6.5 s if the only force acting on it was the gravitational force due to mars?
On mars the rock that fall from rest in 6.5 s with an acceleration due to gravity of 3.77 m/s² would far a distance of: 79.64125 m
The free fall formula and the procedure we will use is:
h = (g * t²)/2
Where:
g = acceleration due to gravityt = timeh = height traveledInformation of the problem:
g = 3.77 m/s²t = 6.5 sh =?Applying final height formula we get:
h = (g * t²)/2
h = (3.77 m/s² * (6.5 s)²)/2
h = (3.77 m/s² * 42.25 s²)/2
h = 159.2525 m/2
h = 79.64125 m
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
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How is the density of a fish controlled? how is the density of a submarine controlled?
The density of a fish is controlled by the expansion and contraction of its air sacs while the density of a submarine is controlled by ballast tanks. It was emphasized earlier that buoyant forces does not equal an objects weight but does equal the weight of displaced water.
What are mass, density, and volume ?The three most fundamental characteristics of an object are mass, volume, and density. Volume indicates something's size, mass indicates how heavy it is, and density is calculated as mass divided by volume. Although you deal with mass and volume on a daily basis, the concept of density is less clear-cut and requires careful consideration.
Mass divided by density equals volume; and. Volume times density equals mass. A liquid's density is a gauge of how heavy it is relative to the amount being measured. The liquid that weighs heavier is more dense if you weigh two liquids with similar volumes or amounts.
The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms.
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determination of the size of molecule using oil drop experiment
Measurement of molecule size using an oil drop experiment
The volume of a tiny oil drop is determined by finding its radius, or r. Now that the oil drop is on the water's surface, it spreads out into an approximately circular region with a height h and radius R. The patch's diameter is determined, and from there, the radius R is calculated.
Up until the oil forms a monolayer, the oil drop expands, pushing the powder aside to form a clean circle. The thickness of the monolayer, which is the height of the oil drop molecule on the water, can be calculated by measuring the area of the monolayer and dividing the volume of the drop by that area.
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