dr. ensign ran the top of utah half marathon in a time of one hour, 21 minutes and 19 seconds in august 2012. a half marathon is 13.1 miles. what was his average speed in units of km/h? assume the number of significant figures is limited by the distance (13.1 miles). conversion factors: 1 mile

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Answer 1

15.555 km/h was his average speed in units of km/h.

What is speed ?

The rate of a directionally changing object's location. The SI unit of speed is created by combining the fundamental units of length and time. Meters per second (m/s) is the unit of speed in the metric system.

What is distance ?

Distance is an object's overall movement, regardless of direction. Distance refers to the length of an object's real route as a whole. The displacement of an object between two points is defined as the straight line distance (shortest distance), measured from one position to the other.

Using the conversion units given

1 mile = 1.609347 km

13.1 miles = 21.0824457 km

1 hour, 21 minutes and 19 seconds

1 + (21/60) + (19/60 × 60)

1.35527 hours

So he ran 21.0824457 km in 1.35527 hours

Speed = 21.0824457/1.35527

           = 15.555 km/h

Thus, 15.555 km/h was his average speed in units of km/h.

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Related Questions

A positively charged metal ball a is placed near metal ball b. Show that if the charge on b is positive but of small magnitude, the balls will be attracted to each other.

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If both balls have positive charge,they will be attracted towards each other because of induced charges.

Ultimately, the induced charging is a charging technique that charges an item without really contacting the item to some other charged object. The charging by enlistment process is where the charged molecule is held close to an uncharged conductive material that is grounded on an impartially charged material. The charge streams between two items and the uncharged conductive material foster an accuse of inverse extremity. These were the various techniques for charge move.

Charging by Induction Using a Negatively Charged ObjectCharging by Induction Using a Positively Charged Object

When metal b is given charge,in that case both balls will get positive charge on each other,due to that try to repel each other,but for maintaining stability,we induced charge will induce in metal b on close side of the ball.Due to that now ball a has positive charge and metal b has negative charge.Therefore,they will attract each other.

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Ferryboat Docking Bumper Shock M₂ Absorber M 1979M2. A ferryboat of mass Mi= 2.0 x 105 kilograms moves toward a docking bum per of mass My thatis attached to a shock absorber. Shown below is a speed v vs. time t graph of the ferryboatfrom the time it cuts off its engines to the time it first com esto rest after colliding with the bumper. At the instant it hits the bumper, t= 0 andv= 3 meters per second. 3 m/s 2 m/s a. After colliding inelastically with the bumper, the ferryboat and bumper move together with an initial speed of 2 meters per second

Answers

Mass of the bumper =M2=1*10^5 kg

It is given that collision is inelastic and after Collision Both Boat and Bumber moves with 2m/see then, velocity from conservation of momentum.

M_{1}*v_{1} = (M_{1} + M_{2}) * v_{2}

(m_{1}*v_{1})/v - m_{1} =m 2

M_{2} =2*10^5*3/2-2*10^5 = 1*10^5 kg

According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

Conservation of momentum states that the center of mass's mass times velocity remain constant. Conserving Angular Momentum: The system's overall angular momentum is constant. Newton's Third Law: Since all internal forces occur in pairs, there can be no net force generated within the system.

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what is the change in potential energy of a proton as it moves x = 5 m to x = 2 m in a uniform electric field that is parallel to the positive

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The equation U = qV can be used to calculate the change in potential energy, where q is the proton's charge and V is the difference in voltage or electric potential.

We utilise the equation V = Ed, where E is the electric field strength and d is the distance travelled in the field, to determine V. We get V = E(5-2) = E * 3 and U = qV = q * E * 3 when the given values are substituted.Electric Potential Difference (V or V): In an electric field, the amount of energy needed to transport a charge from one place to another is known as the electric potential difference. It is frequently represented by the symbol V and has volt-based units (V).

(E) Electric Field Strength the strength of the electric field

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how many m/s is 50 mi/h equivalent to? (1 mi = 1609 m.)

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The required value of velocity 50 mi/h when converted to m/s is calculated to be 22.3 m/s.

mi/h is known as miles/hour. It is the unit of speed expressing number of miles travelled in one hour.

It is known that, 1 mi = 1609 m

And 1 hour = 60 min = 60 × 60 sec = 3600 sec

Now, let us convert 50 mi/h to m/s.

1 mi/h = 1609 m/3600 s = 0.446 m/s

Here, we are asked to convert 50 mi/h to m/s.

So, 50 mi/h = 50 × 0.446 m/s = 22.3 m/s

Thus, the required value of 50 mi/h when converted to m/s is 22.3 m/s.

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should plate k have a positive or negative voltage polarity with respect to grounded plate L? The elementary charge is 1.60217 x 10^-19 C

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The equation's outcome will be negative if the charge on plate K is greater than the charge on plate L. The equation's outcome will be positive if the charge on plate K is smaller than the charge on plate L.

The polarity of plate K with respect to plate L is determined by the electric charge on each plate. If plate K has a greater charge than plate L, then the polarity of plate K will be negative with respect to plate L. If plate K has a lesser charge than plate L, then the polarity of plate K will be positive with respect to plate L. Mathematically, this can be expressed as:

Polarity = (Charge on plate K - Charge on plate L) / Elementary Charge

Since the Elementary Charge is 1.60217 x 10^-19 C, the polarity of plate K with respect to plate L can be calculated as:

Polarity = (Charge on plate K - Charge on plate L) / 1.60217 x 10^-19 C

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complete question:should plate k have a positive or negative voltage polarity with respect to grounded plate L? The elementary charge is 1.60217 x 10^-19 C

1. Negative

2. Positive

3. Voltage should be zero.

a student walks 1.0 kilometer due east and 1.0 kilometer due south. then she runs 2.0 kilometers due west. the magnitude of the student's resultant displacement is closestto

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Answer: Its close to 1.4 km

Explanation:

how fast does light travel

Answers

A stationary source of light emits light at a speed of 300,000 km/sec.

Is there anything that moves more quickly than light?

No object can go more quickly than 300,000 kph (186,000 miles per second). Only massless particles, such as the photons that constitute light, are capable of traveling at that speed. Any material item cannot be accelerated to the speed of light since doing so would require a limitless supply of energy.

The exact distance that light travels in a vacuum at in a second is 299,792,458 meters (983,571,056 feet). This is roughly 186,282 miles per second, or "c," the symbol for light speed in mathematics.

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Match the term to its description to test your understanding of the use of moist heat to control microbial growth. Pasteurization Requires use of an autoclave. To sterilize, temperature must reach 121°C for a minimum of 15 minutes. 100°C, 30 minutes will disinfect but will not sterilize. Boiling water Heat applied to beverages to prevent spoilage and kill pathogens. Protocols include holding liquids at 71.6°C for 15 seconds or at 63°C for 30 minutes. Does not sterilize. Steam under pressure

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Pasteurization - Heat applied to beverages to prevent spoilage and kill pathogens. Protocols include holding liquids at 71.6°C for 15 seconds or at 63°C for 30 minutes. Does not sterilize, Boiling water - To disinfect but will not sterilize.

Steam under pressure - Requires use of an autoclave. To sterilize, temperature must reach 121°C for a minimum of 15 minutes. Pasteurization is a heat treatment process that is used to kill harmful microorganisms and extend the shelf life of perishable food and beverage products. pasteurization involves heating the product to a specific temperature for a set amount of time and then rapidly cooling it. The temperature and duration of pasteurization depend on the type of product and the pathogens that need to be eliminated. Common pasteurization methods include high-temperature short-time (HTST) and low-temperature long-time (LTLT) pasteurization. HTST pasteurizes products quickly at high temperatures, while LTLT pasteurizes products at lower temperatures over a longer period of time.

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do you think your weight is the same if you are on the moon, mars, or jupiter? explain.

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I think no because moon,mars and Jupiter are all different sizes

Answer: neither, your weight is not the same on any planet

Explanation: Our mass is the amount of matter that we consist of. This mass does not change when we change planets. However, if we went from Earth to Mars, our weight would change because Mars has less gravity than Earth. Gravity is a force pulling matter together.

How to Write the Formula for NaOH (Sodium hydroxide)

Answers

The chemical equation serves as a representation for this.: NaOH → H 2 O OH- + Na. +.

What in chemical is a NaOH?

Other names for sodium hydroxide include lye, soda, and caustic soda.Hydroxide is a white, crystalline, odorless solid at room temperature that draws moisture from the atmosphere.It is a product of synthetic manufacturing.

NaOH—is it a true hydroxide?

NaOH, or sodium hydroxide, has no scent.It is constructed of unbreakable white crystals that draw moisture from the atmosphere.Caustic means sodium hydroxide.

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Given equal amounts of methanol, propanol, butanol and ethanol, please select the correct order at which they will distill during macroscale distillation.Group of answer choicesbutanol, propanol, ethanol, methanolmethanol, butanol, ethanol, propanolmethanol, ethanol, propanol, butanolethanol, methanol, propanol, butanol

Answers

The correct order is ethanol, methanol, propanol, butanol.

Why do they follow this order?

This is because the boiling points of these alcohols increase in the order listed, with ethanol having the lowest boiling point and butanol having the highest.

During distillation, the mixture of alcohols is heated until the first component, in this case ethanol, reaches its boiling point and evaporates.

The vapor is then condensed back into a liquid and collected, and the process continues until all of the components have been separated based on their boiling points.

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Object A and object B are each electrically neutral. Two million electrons are removed from A and placed on B. Expressed in coulombs, what is the resulting charge (algebraic sign and magnitude) on A and on B?

Answers

The resulting charge on the objects are +3.2 X 10⁻¹³ C on object A and -3.2 X 10⁻¹³ on object B.

Why is an atom neutral to electricity?

An atom has the same number of protons (which have a positive charge) and electrons (which have a negative charge). As a result, there is no net charge on the atom because the opposite charges are balanced. Additionally, the atom's neutrons lack a charge. As a result, an atom has no electrical charge.

Why is most matter neutral to electricity?

Because the number of protons and electrons in an atom is the same, it is electrically neutral. As a result, the negative and positive charges cancel each other out. A type of subatomic particle known as a neutron has no charge—they are neutral. The powerful nuclear force binds neutrons, like protons, to the atom's nucleus.

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What is the most important consideration when evaluating lightning rods as a means to protect a building from lightning strikes in violent storms? a. the grounding of the lightning rod b. the height of the lightning rod c. the type of head of the rod (round vs pointed) d. the width of the lightning rod (thick vs thin)

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"The most important consideration when evaluating lightning rods as a means to protect a building from lightning strikes in violent storms is the grounding of the lightning rod." Correct option is A.

In an effort to draw the lightning bolt, the rods are fixed to the top of the building. When the bolt strikes, the rod safely directs the energy's millions of volts through copper or aluminium cables throughout the house before dissipating it underground.

A metallic rod (often made of copper) that deflects lightning strikes and directs their currents underground might shield a building from damage.

As a result, there is more air conducting above the lightning conductor rod. A lightning conductor rod's proximity to ionised air causes the lightning to hit more randomly as a result.

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is any influence that causes an object to change, either concerning its movement, direction, or geometrical construction.

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Force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction.

What is the name for any long-term change in direction?

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

A force has the power to alter an object's motion's direction. A greater force acting on an object will result in a greater change in motion. To undergo the same change in motion, a heavier object needs more force than a lighter thing.

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What Is the Density of Water g cm3?

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1 g/cm3 Is the Density of Water g cm3 .

What is volume ?

Volume is a measure of the amount of space occupied by an object or a substance. It is a scalar quantity and is expressed in units such as cubic meters, cubic centimeters, liters, or gallons. Volume is an important physical quantity that is used to describe the size of objects and the amount of a substance contained within a container.

In mathematics, volume is often used to describe the amount of space enclosed by a three-dimensional object, such as a cube, sphere, or cylinder. The formula for the volume of a three-dimensional object depends on its shape, but common formulas include the volume of a cube (V = s^3), the volume of a sphere (V = 4/3 π r^3), and the volume of a cylinder (V = π r^2 h).

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A 5kg mass is dropped from a height of 20m. With what speed does it hit the ground?

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The speed with which the mass which is dropped hits the ground is calculated to be 20 m/s.

The mass dropped from certain height is of 5 kg.

The height from which the mass is dropped is 20 m.

As the ball is dropped from certain height u = 0.

From the equations of kinematics, we know, v² - u² = 2 a s

where, v is the final velocity

u is the initial velocity

a is acceleration due to gravity

s is the height

Making v as subject, we have,

v² = u² + 2 a s

v = √(u² + 2 a s) = √(0+ 2 × 10 ×20) = 20 m/s

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The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.60�10^?19 J. In what direction and through what potential difference Vb-Va does the particle move?a. The particle moves to the left through a potential difference of Vb-Va = 0.500 V.b. The particle moves to the left through a potential difference of Vb-Va = -0.500 Vc. The particle moves to the right through a potential difference of Vb-Va = 0.500 V.d. The particle moves to the right through a potential difference of Vb-Va = -0.500 V.e. The particle moves to the left through a potential difference of Vb-Va = 5.00 V.f. The particle moves to the right through a potential difference of Vb-Va = -5.00 V

Answers

The particle moves to the right through a potential difference of Vb-Va =0.500 V. The correct answer is C.

We can use the relationship between the electric potential difference (V) and electric force (F) on a charged particle to identify the direction and potential difference through which the particle moves.

The equation describes the work an electric force does on a charged particle.

Fdcos = W∅

where ∅ is the angle formed between the force's direction and the particle's displacement, d is the distance traveled by the particle, and F is the electric force.

In this instance, the angle between the force's direction and the particle's displacement is zero since the particle is solely affected by the electric force and moves along the x-axis, and the work done by the electric force is represented by W = Fdx.

Therefore, Vb - Va = W/q, where q is the particle's charge, gives the potential difference between points a and b.

The work-energy principle stipulates that work done on a particle is equal to the change in kinetic energy, therefore we can say that the work done on the particle is equal to 1.60x10⁻¹⁹ J given that the particle's kinetic energy increases by this amount.

The sign of the potential difference can now be used to determine the force's direction because the electric force is provided by

F = -q(dV/dx).

Since the electric force is directed in the opposite direction to the direction the particle is moving because of the positive potential difference, the particle is moving to the right.

As a result, the particle goes to the right through a Vb-Va = 0.500 V potential difference.

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what is cp in viscosity

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CP is the centi-poise, a unit of viscosity, it is equal to one-hundredth of a poise.

The viscosity is defined as the resistance of the fluid offered to the change in shape or orientation of the layers. When one layer moves over other layer of the liquid, then both layer resist motion of each other. This friction force of liquid is known as viscosity. its SI unit is N-s/m², and poise is the unit of viscosity in CGS system. 1 poise = 1 dyne-s/cm². 1 centi-poise = 0.01 P.

1 centi-poise is equal to 1 milipascal-sec(m-Pa.s) in the SI unit.

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The man shown in the Figure has a mass of 75 kg; the beam has a mass of 40 kg. The beam is in equilibrium with the man standing at the end and pulling on the cable. Determine the force exerted on the cable by the man and the reaction at support

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The force exerted by man on cable is 1863.9 N and the reaction at support is 735.75 N.

In this instance (See Picture), the man is pulling on the cable while standing at the end of the beam. The man's push on the cable and the support's response result in two forces operating on the system. In order to preserve balance, these two forces must be equal in strength and directed in the opposite direction.

Consider the weight of the beam to be concentrated at its centre of gravity G (Point B)

Weight of beam = Wb = 40 x 9.81 = 392.4 N.

Consider the weight of man to be point load acting at the end of the beam

weight of man = Wm = 75 x 9.81 = 735.75 N

The pull applied by man is transferred by the cable over the pulley and is applied at point B

Let, the pull applied by man = P

Now, Consider the summation of moments of forces about the support C.

∑M_C = 0 (equilibrium stage)

∵ {(Wm × 3) + (Wb × 1.5)} - (P × 1.5) = 0

⇒ {(735.75 × 3) + (392.4 × 1.5)} - (P × 1.5) = 0

⇒ P = 1863.9 N

Hence, force exerted by man on cable is 1863.9 N

Now, consider the summation of vertical forces on the beam

Let, R be the reaction at the point c

∑F_Y = 0

- Wm - Wb + P + R = 0 (Positive forces come from moving upward, whereas negative forces come from moving below.)

⇒ - 735.75 - 392.4 + 1863.9 + R = 0

⇒ R = 735.75 N

hence, reaction at point C is equal to 735.75 N.

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Blue and white wands are rubbed together and held 1.35 cm apart. If the charge on the white- faced wand is 1.38 x 10-10 C, what is the magnitude of the force each wand ex one? Is the force attractive or repulsive? State your assumptions.

Answers

Coulomb's Law indicates the magnitude of the force that each wand exerts on the other. The force is attractive .

What is Coulomb's Law, exactly?

A fundamental law of electrostatics that explains the force between two electric charges is known as Coulomb's Law, after the French physicist Charles-Augustin de Coulomb. According to this theory, the electrostatic force of attraction or repulsion that exists between two point charges is inversely proportional to the square of the distance between them and directly proportional to the product of the charges' magnitudes. It is a law of inverse square, which means that the force exerted by two objects decreases proportionally to the square of their distance.

Coulomb's Law reveals the magnitude of the force that each wand exerts on the other:

F is equal to k(q₁q₂)/r², where r is the distance between the wands and q1 is the charge on the white-faced wand (1.38 x 10⁻¹⁰C), q₂ is the charge on the blue-faced wand (assumed to be -1.38 x 10⁻¹⁰C since the wands are rubbed together), and

k is the Coulomb constant (8.98755 x 10⁻⁹ N

F = 8.98755 x 109 N m²/C² × (1.38 x 10⁻¹⁰C × (-1.38 x 10⁻¹⁰C))/(0.0135 m)²

                        F = -1.20 x 10⁻⁵ N

Because the charges are of opposite sign, the force is attractive.

Assumptions:

1. The blue-faced wand has a charge of -1.38 x 10⁻¹⁰C.

2.1.35 centimeters separate the wands.

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Given the above unit analysis, what can be said about the relationship between solar flux and energy? Hint: You many need to break down the units a bit more... Solar flux is directly proportional to energy per second. OOOO Solar flux is inversely proportional to energy per second. Solar flux is directly proportional to the power of the star, and is not related to energy. Solar flux is inversely proportional to the power of the star, and is not related to energy.

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Solar flux is directly proportional to energy per second. Solar flux is a measure of the amount of energy that a star emits per unit of area per unit of time. Solar flux has units of energy per area per time, such as watts per square meter per second. Thus, solar flux is directly proportional to energy per second.

Solar flux refers to the rate of energy flow per unit area per unit time. It is often used to describe the amount of energy that a star emits, and it is typically measured in units of watts per square meter per second (W/m^2/s). The relationship between solar flux and energy is direct, meaning that as the solar flux increases, the amount of energy per second also increases. The higher the solar flux, the more energy is being emitted by the star. Solar flux is a useful metric in astronomy and space physics as it helps to describe the energy output of stars and other celestial objects. Additionally, it provides important information about the amount of energy that reaches the Earth's atmosphere and how it can impact our planet's climate and environment.

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FILL IN THE BLANK. kitchen lighting ____ permitted to be supplied by the two 20-ampere small-appliance circuits required for the kitchen and dining room area.

Answers

Kitchen lighting is permitted to be supplied by the two 20-ampere small-appliance circuits required for the kitchen and dining room area according to the National Electric Code (NEC) 210.11.

These circuits are designed to provide power for small appliance, such as toasters, blenders, and coffee makers, and can also be used to supply power to the kitchen lighting. However, it's important to note that the total load on these circuits should not exceed the maximum amperage rating of 20 amps. This means that the combined load of all the appliances and lighting fixtures connected to these circuits should not exceed 20 amps. In addition to using the small-appliance circuits, it's also common to use separate dedicated circuits for specific electrical loads, such as for the refrigerator or for a kitchen island lighting. It's important to consult a licensed electrician for proper installation and to ensure that the electrical system is safe and meets all relevant codes and regulations.

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What is standard room temperature in C?

Answers

20 to 22 degrees Celsius is standard room temperature in C.

What is Temperature?

 It is a measure of the degree of hotness or coldness of a body or an environment. It is a scalar quantity that is expressed in units such as Celsius (°C), Fahrenheit (°F), or Kelvin (K). The temperature of an object or environment is a measure of the average thermal energy of the particles that make it up, and it determines the direction of heat flow. High temperatures are associated with high thermal energy and fast molecular motion, while low temperatures are associated with low thermal energy and slow molecular motion. The temperature of an object or environment plays a crucial role in many physical and biological processes, such as chemical reactions, phase changes, and metabolic processes.

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The solar system models of ptolemy and aristotle were and the solar system models of copernicus and galileo were.

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Ptolemy's and Aristotle's solar systems were geocentric, and Copernicus' and Galileos' were heliocentric.

What is the geocentric system?

Geocentric system (or model) means that Earth is the centre of the system and the Sun together with other planets circle around it. This point of view was common during Ancient times (Greek and Roman). The main protagonists were Aristotle and Ptolemy. Later in the Middle Ages, the Christian church adopted this system as the only one possible.

What is the heliocentric system?

The heliocentric system explains that Sun is the centre of the system and Earth and other plates rotate around it. Modern science today accepts this as the only model giving a list of proofs for it. Copernicus and Galileo were the main protagonists of the Solar system (between the XVI and XVII century).

Who proposed the heliocentric and geocentric model?

The most highly developed geocentric model was that of Ptolemy of Alexandria (2nd century). It was generally accepted until the 16th century, after which it was superseded by heliocentric models such as that of Nicolaus Copernicus.

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Complete question:

What were the solar system models of Ptolemy and Aristotle, and Copernicus' and Galileos'?

A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface.

Answers

A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface. The value of the net force acting on the block will be  79N.

The combination of mass and acceleration is known as force, and it acts on the body to cause it to move. Since the block is being affected by an external force, there will be a frictional force that prevents the block from moving. The frictional force is given by and can be represented by the symbol f(k).

f(k) = external force - (ma)

f(k) = 40N - (5×6)

f(k) = 40N - 30N

Since it opposes the external force, f(k) = 10N, and since the sign is negative, f(k) = -10N.

In addition, the body is subject to a gravitational force that is equal to mg, where g is the acceleration caused by gravity.

Now, force of gravity = mg

= 5×9.8 = 49N

Now, net force acting on the block = 40N - 10N + 49N= 79N.

Your question is incomplete but most probably your full question was

A force of 40.0 N accelerates a 5.0-kg block at 6.0 m/s2 along a horizontal surface. what is the net force acting on the block

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At what temperature will a 1 m aqueous solution of KCL boil if the solute’s Kb is 2°C/m and the solvent’s Kb is 0.512°C/m? Hint: what does aqueous mean?
A. 1°C
B. 2°C
C. 101°C
D. 102°C
E. 104°C

Answers

At 102°C temperature will a 1 m aqueous solution of KCL boil if the solute’s Kb is 2°C/m.

The Kb values of the solvent and the solute can be used to calculate the boiling point of a 1 m aqueous solution of KCl. Aqueous denotes the presence of water in the solution. Due to the solute's presence, a solution's boiling point rises above the boiling point of the pure solvent. The concentration of the solute and the solvent's Kb value can be used to compute the boiling point elevation, Tb:

ΔTb = Kb × molality

where molality is the concentration of the solute in moles per kilogram of solvent. The molality of the solution can be calculated from its concentration in moles per liter:

molality = moles of solute / mass of solvent in kg

The mass of 1 L of water is approximately 1 kg. So, the molality of the solution is 1 m. The boiling point elevation due to the solute is:

ΔTb = Kb × molality = 2 × 1 = 2°C

The boiling point elevation due to the solvent is:

ΔTb = Kb × molality = 0.512 × 1 = 0.512°C

The boiling point of the solution is the boiling point of the pure solvent plus the boiling point elevations due to both the solute and the solvent:

Tb = Tb, pure solvent + ΔTb, solute + ΔTb, solvent

The boiling point of pure water is 100°C. So, the boiling point of the 1 m aqueous solution of KCl is:

Tb = 100 + 2 + 0.512 = 102.512°C

Therefore, the answer is D) 102°C.

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why is important that density is constant in calorimeter

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To achieve accurate and trustworthy heat measurement data, it is necessary to guarantee that the density of the substance in the calorimeter remains constant. This can be accomplished by utilising material having low coefficients of thermal expansion or by maintaining stable temperature conditions during the testing.

A calorimeter is a device that measures the heat of reaction or physical changes as well as heat capacity. For accurate heat readings, the density of the substance in the calorimeter must remain consistent.

The heat produced by a reaction or physical change is directly proportional to the mass of the substance. If the density of the substance varies throughout the measurement, the mass changes, resulting in an inaccurate measurement of heat.

Furthermore, a substance's heat capacity is determined by its density, therefore a change in density will result in a change in heat capacity. This would also result in an erroneous heat measurement.

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Consider a 42,000 kg train car travelling at 10 m/s toward another train car. After the two cars collide, they couple together and move along at 6 m/s. What is the mass of the second train car?.

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The information provided makes it impossible to estimate the mass of the second rail car.

The overall momentum of a closed system must stay constant according to the rule of conservation of momentum, hence the momentum before and after a collision must be equal.

The formula for momentum is p = mv, where m stands for mass and v for speed. As a result, the first train car's beginning momentum and the combined final momentum of the two cars may be expressed by the following equation:

m1 * v1 = (m1 + m2) * v2

where m1 is the mass of the first train car (42,000 kg),

v1 is its initial velocity (10 m/s),

m2 is the mass of the second train car,

And v2 is the velocity of the two cars after the collision (6 m/s).

So, m2 can be determined if m1 and v1 are known, but it cannot be determined from the information given.

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two particles of charges q1 = 1.6 x 10-9 c and q2 = 3.6 x 10-9 c are on the x axis, 16 cm apart. find the distance along the x axis from q1 to the point where the net electric field is zero.

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At 6.4 cm distance from charge q₁, the net electric field is zero, if q₁ = 1.6 × 10⁻⁹ C, and q₂ = 3.6 × 10⁻⁹ C.

Charge, q₁ = 1.6 × 10⁻⁹ C

Charge, q₂ = 3.6 × 10⁻⁹ C

The distance between them, d = 16 cm

The electric field will be zero at that point where electric fields created by both the charge will equal and opposite in direction, so they can cancel out each other.

Electric field, E = q/(4πε₀d²)

Let k = 1/(4πε₀), then E = kq/d²

Let x be the distance from the q₁, where electric field is zero.

So, kq₁/x² = kq₂/(16-x)²

(1.6 × 10⁻⁹)/x² = (3.6 × 10⁻⁹)(16-x)²

1.6(16² + x² - 32x) = 3.6x²

2x² + 51.2x - 409.6 = 0

On solving x = 6.4 cm and -32 cm

Ignoring the negative value, x = 6.4 cm is the distance where electric field will be zero

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the ________ is an independently folded structure of gal4 that has its own function and binds to zinc to function.

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Although a superimposable binuclear cluster domain can be seen in the crystal structure of a Gal4(1-65)/DNA complex, the rest of the protein sequence is ordered, with residues 41–50 and 50–65 creating an ordered extended loop region and a coiled–coil dimerization motif, respectively.

What is the GAL4 binding sequence?

The sequence 5′-CGG-N11-CCG-3′ makes up the 17mer of the consensus Gal4-binding site. Gal4 interacts as a dimer, as shown by the crystal structure of the minimum DNA-binding domain (amino acids 1-65) in association with a consensus UAS,

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