From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G=6.67x10^-11 N*m^2/kg^2, M-earth = 5.97x10^24kg, R-earth = 6.38x10^6m)

Answers

Answer 1

The height above the surface of the earth should be [tex]2.294 * 10^{6} m[/tex].

The Acceleration due to earth gravity is known as the acceleration due to gravity. It means when an object falls from a certain height towards the surface of the earth, its velocity changes. The change in velocity produces the acceleration in the object is called the gravitational acceleration

We know that acceleration due to gravity at height h is given by : [tex]g' = GM/(R+h)^{2}[/tex]

Where, G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]

            M = mass of earth = [tex]5.97 * 10^{24} kg\\[/tex]

             R = radius of earth = [tex]6.38 * 10^{6} m[/tex]

             h = height

Given g' = 0.54

Putting these values in above equation  we get h = [tex]2.294 * 10^{6} m[/tex]

i.e. to experience an acceleration of 0.54g , the object should be at [tex]2.294 * 10^{6} m[/tex] above the earth's surface.

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Related Questions

when the temperature of a 3.0-l sample of a gas is dropped from 200°c to 100°c, what will be the final volume of the gas sample?

Answers

The gas has a final volume of 2.4L.

What is the text of Lussac's law?

According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when maintained at a low volume. The molecule of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more blows on the container's walls.

Briefing:

Given, Initial Volume of the sample = 3L

Initial temperature of the sample, T₁ = 200° C

                                                        = 200 + 273

                                                        = 473 K

Final temperature of the sample, T₂ = 100° C

                                                           = 100 + 273

                                                            = 373 K

By Gay-Lussac's Law is a variant of the general gas equation,

From the above relation,

[tex]\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }[/tex]

[tex]V_{2} = \frac{V_{1}*T_{2} }{T_{1} }[/tex]

Substituting values,

[tex]V_{2}[/tex]= (3x 373) / 473

   = 1119/473

   = 2.4L

Hence ,it is found that the final  volume of the gas is 2.4L

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if a car engine has a thermal efficiency of 50% and it does 500 j of work in one cycle, how much energy input does it require each cycle?

Answers

A automobile engine that performs 500 j of effort in one cycle and has a thermal performance of 50% needs 1000 j of energy for input each cycle.

Energy in Example: What is it?

Energy can take on a variety of shapes. Energy can take many different forms, such as light, heat, mechanical, electrical, acoustic, chemical, nuclear, or atomic energy.

Can you break energy?

Energy can only be converted or moved through one form to another; it cannot be created or destroyed. For instance, kinetic energy is produced from chemical energy.

Briefing:

Efficiency = (E out / E in) × 100%

E in = (E out / 50) × 100

E in = (500 / 50) × 100

E in = 1000j

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The total number of oxygen atoms indicated by the formula Fe2(CO3)3 is
a. 3
b. 6
c. 9
d. 12
e. 18

Answers

Answer:

C

Explanation:

There are '3'   CO3' S      3 x 3 = 9  oXYGEN ATOMS

The total number of oxygen atoms indicated by the formula Fe₂(CO₃)₃ is 9. Hence, option (c) is correct.

What is chemical formula?

A chemical formula is a way to describe the chemical ratios of the atoms that make up a specific chemical compound or molecule in chemistry. Chemical element symbols, numbers, and occasionally other symbols, such as parentheses, dashes, brackets, commas, and plus (+) and minus (-) signs, are used to represent the chemical elements.

These can only include one typographic line of symbols, which may also include subscripts and superscripts. A chemical formula has no words and is not the same as the chemical name.

Given  chemical formula is:  Fe₂(CO₃)₃.

The total number of oxygen atoms in the formula = 3×3 = 9.

Hence option (c) is correct.

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place in order from earliest to latest the following steps that lead some low-mass stars in binary systems to become novae or supernovae.

Answers

Protostar, main-sequence star, red giant, planetary nebula, white dwarf.   When a white dwarf takes gas from a star nearby, a nova is the result. A star that contains too much mass explodes and forms a supernova.

What conditions must be met for a supernova?

A star needs to be between eight and fifteen solar masses (opens in new tab) in mass in order for it to explode as a Type II supernova. It will eventually run out of fuel at its core, first hydrogen and then helium, just like the sun. The pressure and mass will be sufficient to fuse carbon, though.

Which star has the highest chance of going supernova?

Betelgeuse and Antares are the closest stars that are most likely to go supernova in the next few million years. Both are much farther away—more than 400 light years—than the 30 light-year threshold at which the explosion might become dangerous. Eta Carinae, an extremely large star that can be seen in the southern hemisphere, may die even sooner.

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A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0. 30. Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table?.

Answers

Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.

What is the static friction?

A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.

What is an example of a static friction?

Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.

Briefing:

The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.

0 = ma - fs

Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.

Fs = mus × m × g

Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.

a = 0.30g

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Please help me with this question, many thanks

Answers

When F1 and F2 are given , then acceleration vector, a(x, y) is calculated as = (-1,5) m/s².

What do you understand by force?

In science, 'force' has a precise meaning and we can say that a force is a push or a pull. A force is exerted on an object by another object.

Newton's 2nd Law is given by:

F = m*a

Where F is a vector and mass is scalar therefore, acceleration is also a vector. As Vector/Scalar = Vector.

Now, F1 + F2 = F(net)

So, (3-5, 4+6) = (x1+x2, y1+y2)

F(net) = (-2, 10)

F(net) = m*a

Then, acceleration = F(net) /m

= (-2/2, 10/2)  = (-1, 5)

Acceleration vector, a(x, y) = (-1,5) m/s².

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If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,
leaving a deficit at the positive terminal, what is the potential difference between the negative and
positive terminals of the battery?

Answers

The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.

Calculation:

W = qV

W/q = V

42/7 = V

V = 6J/C

How much potential energy does a 12 V battery with a 2 C charge have?

For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.

What is the formula for terminal potential difference?

The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.

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Adding a heat lamp inside the shelter a


answers:
radiation
convection
conduction

Answers

Answer:

Radiation

Explanation:

Hope it helps!

Does water boil at or over 100°C. At normal pressure. And i mean excatly 100°C not 100,00000000000000000000000000000000000000001°C.​

Answers

Water boils at exactly 100°C (212°F) at normal atmospheric pressure. This is known as the boiling point of water, and it is the temperature at which water transitions from a liquid to a gas (steam) at normal atmospheric pressure. The boiling point of a substance is the temperature at which the vapor pressure of the liquid is equal to the atmospheric pressure, and for water, this occurs at 100°C. The boiling point of water can vary depending on factors such as the altitude and the atmospheric pressure, but at sea level and at normal atmospheric pressure, water boils at exactly 100°C.

What is the pressure exerted on the ground by a 5-kg box that has a width of 5 m and a length of 10 m?

Answers

Pressure is the force applied to the surface, so the formula for the Pressure is P=F/S, where P is Pressure, F is Force, and S is an Area of the surface

S can be easily find by multiplying length and width:
S=5*10=50m^2

Since there is no information about the object’s motion, the only force acting in it is the Gravitational force, which is F=mg, where m is the mass of the object and g is a gravitational constant (10m*s^-2)
F=5*10=50N (Newtons)

And finally,
P=F/S=50/50=1P (Pascal)

If the speed of sound during a thunderstorm is 330 m/s, how long does it take for the sound of thunder to travel 1485 m?

Answers

Answer:

4.5s

Explanation:

The time taken by thunderstorm = distance traveled /speed of the sound

                                                     =1485 meters /330 meters/seconds

                                                     =4.5 seconds

Thus, it would take 4.5 seconds

Hope it helps!

why does overexposure to uv light often result in sunburn when overexposure to visible light does not? this is why you can get burnt even on a cloudy day.

Answers

The overexposure to UV light often result in sunburn but the overexposure to visible light  doesn't result in the same because UV light can pass through all the layers of the Earth and have drastic effects on the human body.

A sunburn is caused by ultraviolet rays. For ultraviolet rays, clouds are semi transparent, so we can get sunburn even on a cloudy day. However, glass is opaque to UV rays. The rays cannot reach them and so we are protected from sunburn.

UV rays are carcinogenic in nature, it is a form of non-ionizing radiation that is emitted by the sun and artificial sources, such as tanning beds. While it has some benefits for people, including the creation of Vitamin D, it also can cause health risks.

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if a distant planet has rings, based on examples in our solar system, what is the likelihood that it will also contain moons?

Answers

Distant planet having rings have a good likelihood of moons inclined to equatorial plane.

An enormous ring system known as J1407b, which is orbiting a distant planet, has been found by an international team of astronomers. It is much larger and heavier than Saturn's ring system.J1407, a star about 434 light-years away from Earth, is the star that the planet orbits. In 2012, astronomers made the first discovery of the ring system, the first of its kind discovered outside of our solar system. The ring system has more than 30 rings, each of which has a diameter of tens of millions of kilometers, according to a recent analysis of the data that was published in the Astrophysical Journal. In addition, the analysis uncovered gaps in the rings, suggesting that satellites or exomoons may have formed.

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1. A 4-kg skateboard moving at 8 m/s collides with another identical skateboard initially

at rest. If the two skateboards stick together, what is their speed after the collision?

Answers

A collision occurs between two identical skateboards that are initially at rest and a 4-kg skateboard travelling at 8 m/s. After a collision, if the two hoverboards keep together, the s = 32 m/s.

Describe collision.

In physics, collision, often known as impact, is the abrupt, violent coming together in close proximity of two entities, such as, for instance, two pool cues, a golf course and a projectile, a hammer and just a nail head, or two fish road cars if being paired together, or a dropping object and just a floor.

What three sorts of collisions are there?

There are three different kinds of collisions: collisions with perfect elastic properties. inflexible collision collision with perfect inelasticity. Every collision involves not one but three collisions: the vehicle contact, the physical collision, or the internal colliding (inside your body).

Briefing:

p = m*v

m = 4 kg

v = 8 m/s

speed = 4kg * 8 m/s

speed = 32 m/s

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WILL GIVE BRAINLIEST.
Objects 1 and 2 attract each other with a gravitational force of 18.0 units. If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be ____ units.

Answers

If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be 72.0 units.

What is Gravitational force?

The force of attraction that operates on all matter is known as gravity, or gravitational force in mechanics. It is by far the weakest known force in nature and plays no role in determining the internal properties of everyday matter. It controls the orbits of objects in places, the structure, and the evolution of stars, galaxies, and the universe as a whole.

On Earth, every object has a weight, or downward gravitational force, proportional to its mass, and the mass of the Earth acts on them. The acceleration that gravity causes in a falling item serves as a gauge of its strength. The acceleration of gravity at the Earth's surface is around 9.8 meters per second (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.

The gravitational force among two objects can be written as:

F = G×m₁×m₂/r²

Where G is the gravitational constant, m₁ and m₂ are the masses of both objects and r is the distance between them.

Now, we have that F = 18 .0 units.

Let's change r to 2r, the new force is:

F' = G×m₁×m₂/(2r)²

F' = G×m₁×m₂/4r²

F'/F = (G×m₁×m₂/4r²)/G×m₁×m₂/r²

F' = 4 F

F' = 4 × 18.0

F' = 72 units

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Substances, or matter, can exist in three different states at room temperature: solid, liquid, and gas. Compare a solid object, a liquid such as water, and air. Open the Notebook tool (), and answer these questions about solids, liquids, and gases:

How do they differ in feel?
How do they differ in how easily they change their shape?
How do they differ in how easily they change their volume?

Answers

Oxygen and carbon dioxide are examples of substances that exist as gases at room temperature, while water and mercury metal are examples of substances that exist as liquids. At room temperature, the majority of metals are solids. These three states are all possible for substances.

i) Solids are typically more dense than liquids, which are more dense than gases. There is not much room between the particles in the solid, which are touching. Although there are occasionally gaps between the particles in a liquid, they typically still touch. Large gaps exist between the gas particle.

ii) Because of the variations in their molecules, matter can exist in various states. Solids, for example, are predetermined in terms of size and shape. Contrarily, liquids can be molded to fit the shape of the container they are in because they are flexible. Last but not least, gases diffuse to completely fill the space.

iii) Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The shape and volume of gases are ambiguous.

In what ways do they differ in solids, liquids, and gases?

Depending on the shape of their container, a liquid and a gas will adapt their shape. In order to fit inside the container, a gas will change volume. In general, gases are less dense than liquids, which are less dense than solids. There is barely any distance between the particles in the solid from one another.

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20V Calculate: Total resistance from the given diagram. Fig:(a) 4W 12v 6W Fig:(b) 6W 6W 12v​

Answers

Answer:

please help

Explanation:

in CT Scan Machine the source of X-Ray is rotated around the person why​

Answers

Answer:

As the patient passes through the CT imaging system, a source of x rays rotates around the inside of the circular opening. A single rotation takes about 1 second. The x-ray source produces a narrow, fan-shaped beam of x rays used to, irradiate a section of the patient's body.

The patient table is continually pushed through the gantry's hole as the x-ray tube revolves around the patient. This enables the acquisition of a continuous set of attenuation data in a helical or spiral manner; as a result, this generation of scanner is known as a helical/spiral scanner.

What is CT Scan Machine?

A narrow x-ray beam is quickly spun around a patient's body during a procedure known as "computed tomography," or CT. This produces signals that are then analyzed by the machine's computer to create cross-sectional images, or "slices," of the patient's body.

These sections, which are known as tomographic pictures, can provide a clinician with more specific information than traditional x-rays. A three-dimensional (3D) image of the patient can be created once a number of successive slices have been collected by the machine's computer. This makes it easier to identify the patient's basic anatomy as well as any potential tumors or anomalies.

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An element with a mass of 580 grams decays by 27. 9% per minute. To the nearest tenth of a minute, how long will it be until there are 60 grams of the element remaining?.

Answers

6.94 mins time will it be until there are 60 grams of the element remaining.

What does it mean to decay in physics?An unstable nucleus will spontaneously lose energy through radioactive decay by releasing ionizing radiation and particles. An atom of one kind, known as the parent nuclide, changes into an atom of a different type, known as the daughter nuclide, as a result of this decay, or loss of energy.By severing connections, compounds can be broken down into smaller compounds or their underlying elements. Some substances break down when heated or exposed to sunshine. For instance, heating calcium carbonate (lime stone) causes it to break down into calcium oxide (quick lime) and carbon dioxide.A compound decay formula ,F = P [tex]( 1 - r )^{t}[/tex]

Given data :

F is the future amount (we want it to be 60)

P is the present amount (580 now)

r is the rate of decay per minute (27.9% = 27.9/100 = 0.279)

t is the time it takes (what we want to find)

Substituting, we get our answer to be:

F = P [tex]( 1 - r )^{t}[/tex]

60 = 580 [tex]( 1 - 0.279 )^{t}[/tex]

60 =  580 [tex](0.721)^{t}[/tex]

0.1034 = [tex]0.721^{t}[/tex]

Ln ( 0.1034) = Ln [tex](0.721^{t} )[/tex]

Ln ( 0.1034)  = t x ( 0.721)

t = [tex]\frac{Ln(0.1034)}{Ln(0.721)}[/tex] = 6.94

So, it is going to take about 6.94mins, rounded to nearest tenth (1 decimal), we have:  About 6.94mins

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Two animals that can be found at the Grand Canyon include the Abert's and Kaibab squirrels. The Abert's squirrel is
found at the south rim of the canyon and in a few surrounding states. The Kaibab squirrel, however, can only be found
at the canyon's north rim, mainly on the Kaibab Plateau. The Kaibab squirrel is not found anywhere else in the world.
Scientists believe that the squirrels are actually closely related and have developed separately as a result of
geographic isolation. It is possible that the squirrels were separated by plateau erosion that separated the forests and
isolated the Kaibab population. Some scientists are studying if the squirrels are now two separate species or if the
Kaibab squirrel is simply a subspecies of the Abert's squirrel. Separate species are unable to reproduce with each
other.
Which evidence would be used to support the claim that the squirrels are two separate species?
A.) The Abert's squirrel is found at the south rim of the canyon, but the Kaibab squirrel is found at the north rim of the
canyon.
B.) Geologists prove that plateau erosion is the main cause of forest separation in the region.
C.) Scientists observe that Abert's squirrels are slightly larger and have bushier tails than Kaibab squirrels do.
D.) When placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring.

Answers

The evidence that  would be used to support the claim that the squirrels are two separate species is that when placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring which is therefore denoted as option D.

What is a Species?

This is referred to as a group of organisms that can reproduce with one another in nature and produce fertile offspring.

In this scenario we were told that Abert's squirrel and Kaibab squirrel may be separate species and the evidence which will support that is that no pair of Abert's squirrel and Kaibab squirrel result in offspring.

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the galactic distances used to measure the acceleration of the uni- verse are determined by observations of

Answers

The studies of bursting white dwarfs are used to calculate the galactic distances that are used to quantify the expansion of the universe.

What use does acceleration serve?

The ability to accelerate shows how rapidly an athlete can change their velocity after setting off at rest over a particular amount of time and over a certain distance. It is an essential ability for sprinting as well as other ball games.

What causes a speedup?

An object's motion is altered by a net force; the larger this net force, the more acceleration there is. To speed at the same speed as less massive objects, higher net forces are needed.

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The complete question is-

The galactic distances used to measure the acceleration of the universe are determined by observations of

a) trigonometric parallax

b) line broadening

c) Cepheid variable stars

d) exploding white dwarfs

the earth completes its rotation around the sun each year, with an average distance of 1.5 x 1011m. use this information to calculate the mass of the sun.

Answers

The mass of the sun is 2×10³⁰kg.

What does mass of the Sun mean?

The solar mass (M) is a commonly used measurement of mass in astronomy and is roughly 2×10³⁰kg. It is frequently used to denote the masses of other stars, stellar clusters, nebulae, galaxies, and black holes, among other objects. Its mass is roughly equal to that of the Sun.

Average distance of sun is  1.5 x 10¹¹m

The amount of time it takes for the Earth to make one rotation around the Sun,

T = 1year = 365.25days

T = 365.25×24×60×60s

Gravitational constant, G = 6.67×10⁻¹¹Nm²kg⁻²

Thus, mass of the Sun,

M = 4πr²r³/GT²

M = 4×3.14²× (1.5 x 10¹¹)³/ 6.67×10⁻¹¹(365.25×24×60×60s)²

M = 2×10³⁰kg.

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Describe the relationship between the average atomic mass
and the percent composition of isotopes found in nature.

Answers

The relationship between the average atomic mass and the percent composition of isotopes found in nature be:  an element's average atomic mass is calculated by adding the masses of its isotopes and multiplying each percentage result by the element's natural abundance.

What is average atomic mass?

The average mass of an element's isotopes, calculated based on their mass number and proportion of abundance in nature, is known as the element's average atomic mass.

The average atomic mass of chlorine is 35.5, for instance.

The formula for average atomic mass is:

Average atomic mass =  [(percentage) mass number a isotope + (percent)mass number of other isotope + ...]÷100

Here, percentage refers to the proportion of an element's first naturally occurring isotope that is abundant.

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1-if iron nails are inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
2- if a piece of soft iron bar is inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?

Answers

The magnetic field inside the solenoid is increased.

What is magnetic field?

Magnetic Field is the region around a magnetic material of  or a moving electric charge to the within which the force of a  magnetism acts. A pictorial to  representation of to be the relative magnetic field of  which describes how to a  magnetic force is the  distributed within and around a magnetic material.

The magnetic field around the  the current carrying of to a  solenoid is similar to their magnetic field produced by the bar magnet.

When a soft iron bar is the  introduced inside a current of the  carrying solenoid, the magnetic field inside thd left solenoid will increase.

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Katrina pushes off a flat sidewalk on her skateboard. (Friction is present) What statement best decribes the relationship between the work done by Katrina and the kinetic energy ?


A.The relationship between the work and kinetic energy cannot be determined with the provided information .

B. The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.

C. The amount of work Katrina does on herself and the skateboard will be greater than the kinetic energy held by her and the skateboard.

D. The amount of work Katrina does on herself and the skateboard will be less than the kinetic energy held by her and the skateboard

Answers

The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.

What is the work done?

We know that work is said to be done when the force that is applied moves a distance in the direction of the force. In this case we can see that Katrina pushes off a flat sidewalk on her skateboard.

We also know that the energy that is possessed by a body that is in motion is the kinetic energy of the object. We can see that immediately that  Katrina pushes off a flat sidewalk on her skateboard, she is already moving and this would mean that she does have a kinetic energy in the context of our discussion here.

With the knowledge that the work and the energy are equivalent terms it is clear that the kinetic energy would equal the work done.

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What is NOT TRUE about all forces?


A. They can be unbalanced


B. They ALWAYS cancel each-other
out



C. They can cause objects to move




D. They involve more than one object

Answers

Not all forces can be out of balance, though.

Option a is correct.

What are the required 2 components for a vector quantity?

The size and direction of a vector quantity are its two distinguishing features. The magnitude and direction of two vector values of the same kind must be compared when comparing them.

What three non-contact forces are examples?

The charging of the hair and the paper's attraction to it. Another illustration of a non-contact force is the proximity of two magnets. Gravity is what causes a ball to fall freely toward the earth. Non-contact forces include things like leaves falling from a tree.

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During photosynthesis, _____________ gas enters the leaves and _______ gas is given off. Responses hydrogen, carbon dioxide hydrogen, carbon dioxide, carbon dioxide, oxygen carbon dioxide, oxygen, oxygen, carbon dioxide oxygen, carbon dioxide, nitrogen, argon

Answers

Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.

Explain what photosynthesis is.

The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.

What makes photosynthesis so crucial?

While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).

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PLEASE help! I am so desperate LOL

1: A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 20.0 m) and spun at a constant angular velocity of 15.0 rpm (revolutions per minute). He is then slowed and brought to a stop in 2.0 minutes.
(1a) Find the magnitude and direction of the centripetal acceleration and force when he is spinning at constant angular velocity.

(2a) How many g’s is the astronaut experiencing when moving at constant angular velocity?

(3a) Find the torque that is needed to bring the centrifuge to a stop knowing the centrifuge has a mass of 5500.0 kg (ignore all other forces) and the force is applied at the edge of the centrifuge (20.0 m radius). Hint: torque is based on the change of linear velocity.

2: An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph.

(2a) What is the period and frequency of the pendulum’s motion?

(2b) How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?

(2c) What is the acceleration due to gravity on the surface of the planet in m/s2? Determine the number of g-forces.

Answers

Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.

(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.

(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.

2:

(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.

(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.

(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.

Explanation:

sorry for foreign language, i will still post the photo for visual aid; h=60 cm is the initial height of the m2 body and the bodies go from rest. the values and system drawing are in the photo. i need a) solved and it asks "the speed of the bodies when the body m2 reaches the ground"

please ask question about the problem if you don't understand, i might have explained it non eloquently

Answers

Answer:

The speed of the bodies will be 2.27 m/s

Explanation:

The picture bellow is the solution of the task, but I will give additional clarification here in case that the steps are not clear enough.

First, we want to calculate the acceleration of the whole system. To do that, we'll need to divide the net force (total force) by total mass. In my diagram, I've drawn all the forces which act on the body, but only those forces which I've circled in blue are relevant since all the other forces cancel each other out. The relevant forces are: force due to gravitational acceleration (g) on m2, component of the force due to g acting in the direction parallel to the plane, and the force of friction which always opposes the motion (aka acts in the opposite direction from the direction in which the body is moving; in this case down the plane). Since m2 pulls m1  up the plane, that will be our positive direction, so m2*g will be positive and other two forces will be negative. Putting all the data into the formula, we get the acceleration a ≈ 4.36 m/s².

Next step is calculating the time m2 takes to reach the ground. We use formula: [tex]s=ut+\frac{1}{2} at^{2}[/tex]  ut will be 0 since the system was initially at rest. When we rearange the formula and put in the values we get that the time t ≈ 0.52 s.

Finally, we get the velocity by multiplying time taken to reach the ground by the acceleration of the system.

4) A light object is dropped from rest. It falls a large distance vertically through air.
How can the motion of the object be described?

Answers

An object's position, velocity, acceleration, and direction can all be used to define motion. If an object's position with relation to a fixed point changes, then the object is moving. Even objects that seem to be at rest are in motion.

What impact does gravity have on the motion of falling objects?

An object will descend toward the ground with increasing speed as it does so due to gravity. In actuality, an object's velocity rises by 9.8 m/s2, thus by the time it begins to fall, it has a velocity of 9.8 m/s.

How does air resistance affect the acceleration of falling objects?

Because air resistance slows the speed of the falling object, acceleration during a fall is less with air resistance than it is with gravity.

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