A velocity vector has a magnitude of 25.0 m/sm/s . if its yy component is -10.0 m/sm/s , what are the possible values of its xx component?

Answers

Answer 1

The possible values of its xx component are 13, 9.

What is component?

A part is a practically free piece of any framework. It carries out some role and may require some information or produce some result. A part in programming is frequently addressed by classes. Each piece of a two-layered vector is known as a part. The parts of a vector portray the impact of that vector in a provided guidance. The consolidated impact of the two parts is comparable to the impact of the single two-layered vector. The part strategy is a method for adding various vectors to each other in physical science. It empowers the option of right-calculated vector parts to find a resultant vector having an extent and heading that relies upon the singular parts added.

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Related Questions

What do you think will be the pressure result of the current experimental conditions?

Answers

Pressure above the left beaker the pressure outcome of the current experimental circumstances.

What do u mean by pressure?

Either the action of pressing or the state of pressing. A strain or force exerted against resistance in any direction. Force per unit of area is a measure of force exerted uniformly over a surface.

Pressure is the ratio of the force applied perpendicularly to an object's surface to its area. Its abbreviation is "p" or "P."

The force applied by one region of a gas, liquid, or solid to another, expressed as a function of area. A substance is said to have negative pressure if another substance exerts greater force per unit area on it than it does on it. Pressure is commonly measured in Pascal units, atmospheres, or pounds per square inch. Its value is just the opposite of the pressure the other substance is exerting.

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The electric field at point p due to a point charge q a distance r away from p has magnitude e. in order to double the magnitude of the field at p, you could:__________

Answers

You could double the charge to 2Q in order to double the size of the field at P.

What is the definition of the electric field and its formula?Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field's equation is given as E = F / Q.The magnitude of the electric field is equivalent to the newtons per coulomb at that location in space. The electric field can be calculated as the force per charge, or, put another way, the electric force is equal to the charge multiplied by the electric field at that location in space.

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A 300-kg bear grasping a vertical tree slides down at constant velocity. the friction force between the tree and the bear is:_________
a. 30 n.
b. 300 n.
c. 3000 n.
d. more than 3000 n.

Answers

3000 N of friction exists between the bear and the tree.

How does friction force work?

Friction is the force that prevents two solid objects from rolling or sliding over one another. Even though frictional forces, such as the traction required to walk without slipping, may be advantageous, they can also be a significant hindrance to motion.

Between solid surfaces, there are three basic types of friction:

RollingSliding.Static.                                                                                                                   They are graded from strongest to weakest. Fluid friction happens when liquids or gasses are mixed together.

Explanation:

The bear goes down at a constant speed, thus there is no acceleration. The forces add up to zero. As a result, upward friction and downward weight result in zero  

i.e.,

F-mg=0

F = mg

F = (300 kg)/10 [tex]m/s^{2}[/tex] (gravitational acceleration)

3000 N frictional force equals F.

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Amazon delivery boxes are launched from a horizontal conveyor belt moving at a rate of 3 m/s into bins for shipping. If the surface of the conveyor belt is 1.4 m off the ground, what is the range of each Amazon box?


Show some work

Answers

The range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

According to equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Since the conveyor belt is at a height of 1.4 m, it has a vertical motion when falling from the conveyer belt.

h = 1 / 2 gt²

1.4 = 1 / 2 * 9.8 * t²

t = √ 0.29

t = 0.54 seconds

The range is the horizontal distance covered,

[tex]d_{x}[/tex] = [tex]V_{x}[/tex] * t

[tex]d_{x}[/tex] = 3 * 0.54

[tex]d_{x}[/tex] = 1.62 m

Therefore, the range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

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How far does a person travle in coming to a complete stop in 33 ms at a constant acceleration of 60g?

Answers

person travelled a distance of 0.32m in coming to a complete stop.

Acceleration - Acceleration is the rate of change of velocity with respect to time.

It is a vector quantity.It has both the magnitude and direction. It is measured in m/s²

The distance travelled is calculated as  

Time t = 33ms = 33/1000 = 0.033s

Acceleration a = 60g

g = 9.8 m/s²

a = 60g = 60 × 9.8 = 588 m/s²

The person must be moving at a certain initial velocity.

Since the person is going to stop, V = 0

using equation of motion we get

V = U - at

0 = U - 588 × 0.033

0 = U - 19.404

U = 19.404 m/s

The distance travelled is

using equation of motion

V² = U² - 2aS

0 = (19.404)² - 2 × 588S

1176S = 376.51

S = 376.51 / 1176

S = 0.32 m

the distance is 0.32m

The person travelled a distance of 0.32m in coming to a complete stop.

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If you are in the unfortunate event of having a collision with an animal the first thing you should do is:_________

Answers

If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

Then, according to the Road Traffic Act of 1988, you should report the accident to a nearby police station or Blue cross within 24 Hours.

The next humane thing you can do is to clear it to safe spot away from the road if it is a wild animal and in case of a wild animal and if it is a pet you should call the owner.

Therefore, If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

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Comment on the speed changes as it follows its parabolic arc. do they make sense physically?

Answers

(a) Duration of the ball's flight is 2.5S

(b) Angle of its velocity is 16.1

(c) Speed of the ball is 22.53 m/s

(a). To determine the duration of the ball's flight in

We calculate the whole time when the ball touches the ground, thus we enter y=0 and all other specified values in the equation.

[tex]25sin30t-1/210t^{2} = 0[/tex]

[tex]t = 2.5 s[/tex]

(b) After it has been in the air for one-fourth of this period, determine the angle of its velocity with respect to the ground.

t1=1/4 t = 2.5/4 = 0.625 s

[tex]v_{x} = 25\sqrt{3} /2 m/s[/tex]

[tex]v_{y} = 25/2 - 2.5/2 = 12.5/2 m/s[/tex]

∅= 16.1

(c) To determine speed of the ball for time [tex]t_{1} ,t_{2} , t_{3}[/tex]

[tex]v=\sqrt{v} ^{2}{x} + \sqrt{v} ^{2} y_{}[/tex]

vt1 = 22.53 m/s

vt2 = 21.65 m/s

vt3 = 22.53 m/s

What is the speed change on its parabolic arc?  

The turning point on the corresponding parabolic curve is where the speed is at its lowest in the xx direction. Physically speaking, the shift in speed does make sense. The ball's initial motion against gravity causes its speed to decrease, but after it reaches the turning point, its speed begins to increase as it descends.

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what is the electric potential at point p which is 24 cm away from a 2.31 micro coloumb charge giancoli answers

Answers

The electric potential at point p is 86.53 KV

We know that,

Electric potential V = kQ / r

where,

k = Coulomb's constant

Q = Point charge

r = Distance

Given that,

r = 24 cm = 0.24m

Q = 2.31 mC = 2.31 * [tex]10^{6}[/tex] C

k = 8.99 * [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]

V = ( 8.99 * [tex]10^{9}[/tex] * 2.31 * [tex]10^{6}[/tex] ) / 0.24

V = 86.53 KV

Electric potential is the amount of work energy required to move a unit charge from a reference point to a specific point inside an electric field. It is a scalar quantity.

Therefore, the electric potential at point p is 86.53 KV

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If you have to change the composition of a substance to measure that property, it is a
physical property.

O True

O False

Answers

Answer:

False

Explanation:

Physical properties can be measured without changing the composition of the substance. Physical properties of matter include color, hardness, malleability, solubility, electrical conductivity, density, melting point, and boiling point.

However, the chemical properties have to be measured by changing the composition of the substance.

Have a lovely rest of your day! :)

False.







Is correct answer

During an isothermal process, 10 j of heat is removed from an ideal gas. What is the work done by the gas in the process?

Answers

The work done in the isothermal process is 10 joule.

We need to know about the isotherm process to solve this problem. The isotherm process can be described as a process where the initial temperature system will be the same as the final temperature. Hence, the internal energy change will be zero.

ΔU = 0

Hence,

ΔU = Q - W

0 = Q - W

Q = W

It means that the heat transferred is the same as the work done.

From the question above, we know that the heat transferred is 10 joule. Thus, the work done in the isothermal process is 10 joule.

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Branches of physics and their meanings

Answers

Answer:

Physics is a scientific discipline that seeks to construct and experimentally test theories of the physical universe. These theories vary in their scope and can be organized into several distinct branches.

MECHANICS :

Mechanics is the branch of physics that deals with the motion of an object without or with the reference of force. Mechanics can be further divided into two branches, namely quantum mechanics and classical mechanics. Quantum mechanics deals with the behaviour of the smallest particles like neutrons, protons, and electrons, while classical mechanics is the branch that deals with laws of motion of forces and physical objects.

OPTICS :

This branch of physics deals with the behaviour, propagation, and properties of light. Optics can be simply described as the study of the behaviour of infrared light, visible light, and ultraviolet.

THERMODYNAMICS:

Thermodynamics deals with the study of heat and its relation with work and energy. Thermodynamics also deals with the transmission of heat energy by means of convection, conduction, and radiation.

ELECTROMAGNETISM:

Electromagnetism deals with the study of electromagnetic force like electric fields, light, magnetic fields, etc. There are two aspects of electromagnetism which are “electricity” and “magnetism”.

RELATIVITY:

This branch of physics deals with the theorem that was formulated by Albert Einstein. The theory of relativity states that space and time are relative and all the motion must be relative to a frame of reference.

ACOUSTICS :

Acoustics deals with the study of sound and its transmission, production, and effects. Acoustics mainly involves the mechanical waves in gases, liquids, and solids, which include vibration, sound, ultrasound, and infrasound.

A drop in room temperature to 65of that causes the heater to turn on provides an example of a(an):_______

Answers

Answer:

stimulus

Explanation:

If earth experienced an iron shortage, where could astronomers direct cosmic mining equipment to find more?

a.
the cores of the other terrestrial planets

b.
the rings of saturn and uranus

c.
the surface of the martian moons

d.
the atmosphere of jupiter

Answers

More iron could be found from the cores of the other terrestrial planets. Option A

What is iron?

Iron is one of the elements that could be found on earth. This element is present in abundant amounts in the earth's core and ranks as the fourth most abundant element in the core of the earth.

The earth has a lot more deposit of iron in it. We know that earth lies at the center of the solar system for the sole reason that it is habitable. No other planet in the solar system is habitable though efforts are underway to make the other planets equally habitable.

Iron can also be found in the cores of other terrestrial planets but the amounts may be less than the amount of iron that is found on earth. As such, If earth experienced an iron shortage, astronomers could direct cosmic mining equipment to the  cores of the other terrestrial planets find more.

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Electrical insulating gloves marked with a beige label have a maximum use voltage level of _____ v.

Answers

The maximum use voltage level for electrical insulating gloves with a beige label is 17000 v AC.

By electrical insulating gloves, what do you mean?

To prevent burns and electrical shocks, users should wear electrically insulated rubber gloves. To shield workers from electrical shock, these are constructed of dielectric materials. Electricians working on electrical lines don rubber gloves, sometimes known as lineman's gloves. The gloves are tested at voltages higher than those for which they are rated. Rubber insulating gloves are the first line of defense, offering protection against shock and electrocution when coming into touch with electrified electrical parts and equipment, in contrast to arc flash protective suits, which are intended to lessen or eliminate injuries after an incident occurs. Rubber is a reliable form of shock protection because it doesn't conduct electricity. Rubber is a natural insulator, thus it will prevent electric currents from passing through your skin, unlike many other materials that behave as conductors.

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Complete the statement detailing the relative change in [h ][h ] when the phph of a solution changes from 6.406.40 to 8.40.

Answers

When a solution's pH increases from 6.40 to 8.40. is 100 times smaller.

What is the solution described?

In chemistry, a solution is a homogeneous mixture of two or more compounds in their relative proportions, which can be constantly changed up to what is known as the limit of solubility. Although solutions of gases and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.

What three types of solutions are there?

Solutions that are isotonic, hypotonic, and hypertonic (tonicity).

What is the significance of the solution?

Any of the phases of matter can dissolve in another phase in a solution, which is a homogenous mixture of molecules. Solution chemistry is crucial because the majority of chemical reactions, whether they occur in a lab or in nature, take place in solutions, whether they involve solids, liquids, or gases.

According to given statement:

pH = -log [H+]

6.4 = -log [H+]

[H+] = 3.981*10^-7 M

pH = -log [H+]

8.4 = -log [H+]

[H+] = 3.981*10^-9 M

We can see that [H+] at 8.40 is lower by 100 times as compared to [H+] at pH = 6.40.

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A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information. median = 202.1

Answers

a) Yes, there is one outlier (lower).

b) The boxplot can be seen with the image as attached below.

Step-by-step explanation:

Looking at the distribution of the lower/smallest observation, we can see that there is a value in the lower/smallest that is very far from others. See the attached diagram of the boxplot to understand it better.

The median is the line in the middle of the boxplot.

The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile, and the upper box line (just above the median) is 3rd quartile.

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Complete Question

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information.

median = 202.1

lower fourth= 196.0

upper fourth= 216.8

three smallest observation 125.8 188.1 193.7

three largest observations 221.3 230.5 250.2

a. Are there any outliers in the sample? Any extreme outliers?

b. Construct a boxplot that shows outliers, and comment on any interesting features

U = 3, 9 , v = 4, 2 (a) find the projection of u onto v. (b) find the vector component of u orthogonal to v.

Answers

Answer:

(a) At U = 3, 9 , v = 4, 2, the projection of u onto v is w1=<2,8>

(b)At U = 3, 9 , v = 4, 2,  the vector component of u orthogonal to v is w2 = <4,-1>

Explanation:

A

The projection of u onto v is given by:

w1= projvu = (u⋅v||v||2)v

Given that  u= <6,7> and v=<1,4>, we can find the projection of u onto v as shown below:

w1= projvu = (u⋅v||v||2v=(<6,7>⋅<1,4><1,4>⋅<1,)

=(6⋅1+7⋅41⋅1+4⋅4)<1,4>

=3417<1,4>

=<2,8>

Part B

The vector component of u orthogonal to v is given by:

Using the given vectors and the projection found in part (a), we can find the vector component of u orthogonal to v as shown below:

w2=u−projvu

=<6,7≻<2,8>

=<(6−2),(7−8)>

=<4,−1>

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If a flare occurs on the sun 5 astronomical units away, how much time would pass before a robot at that distance sees the light flash?

Answers

A robot at that distance sees the light flash at time = 2500sec

Given,

A robot sees the flash light from distance = 5 astronomical unit (AU)

A robot at that distance sees the light flash at time = ?

Solution,  

An Astronomical Unit can be defined as , the mean distance of the center of the Sun from the center of the Earth.

1 Astronomical Unit (AU) = 1.496 × 10¹¹m

Time for the light reach to the earth T = 8min 20 sec

speed of light c= 3 ×10¹¹m/s

T = distance/speed

Distance = 5AU

Speed = c

therefore ,

T time = 5 AU/C

AU/C=  5Time= 5 ( 8×60 + 20 )sec

Time = 2500 sec

A robot at that distance sees the light flash in 2500 seconds.

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explain why ????௅ and ????௖ can have magnitudes higher than the magnitude of the input source voltage when circuit 2 is at (or close to) resonance.

Answers

The reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.

When current passes through an inductor a magnetic field is produced and the collapsing magnetic field produced by the inductor charges the capacitor. This process repeats itself causing the electrical energy to oscillate between magnetic and electric field. Because of this oscillation, at resonance, voltage across the inductor and capacitor can be greater than the input voltage.

For a RLC circuit,

[tex]V_{s}[/tex] = [tex]\sqrt[]{V_{R}^{2} + (V_{L} - V_{C})^{2} }[/tex]

where,

[tex]V_{R}[/tex] = Voltage across the Resistor

[tex]V_{L}[/tex] = Voltage across the inductor

[tex]V_{C}[/tex] = Voltage across the capacitor

At resonance,

[tex]V_{L}[/tex] = [tex]V_{C}[/tex]

Therefore, the reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.

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Identify the element(s) and standard(s) of critical thinking with corresponding essential question(s) relative to your perception of the ethical dilemma.

Answers

An ethical dilemma​ describes a conflict between two morally correct courses of action.

Being able to reason effectively and logically about what to believe or do is known as critical thinking. It comprises the capacity for independent and thoughtful thought. These are some examples of what someone with critical thinking abilities can do:

Recognize the logical relationships between concepts.Determine, create, and assess arguments.Find logical errors and common contradictions.Approach issues methodically.Determine the applicability and significance of concepts.Consider how one's own values and opinions are justified.

The ability to think clearly and rationally is crucial whatever we choose to undertake. It should go without saying that critical thinking is crucial if you work in the fields of education, research, business, law, or management.

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Find the area under the standard normal curve to the right of z=0.49. round your answer to four decimal places, if necessary.

Answers

Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.

What is  the standard normal curve?

The horizontal axis is approached by the standard normal bend as it extends indefinitely both in directions without ever being touched by it. The center of the bell-shaped, z=0 standard normal curve. Between z=3 and z=3, almost the entire area underneath the standard normal curve is located.

Use of the standard normal curve:

Use the normal distribution's standard form to calculate probability. Since the standard normal distribution is indeed a probability distribution, the probability that a variable will take on a range of values is indicated by area of the curve between two points. 100% or 1 is the total area beneath the curve.

According to the given data:

the region to the left of the standard normal curve,

z=0.49

To the right of,

z = 2.05

So,

The area will be:

= P[z < 0.49] + P[ z >2.05]

= P[z < 0.49] + 1 -  P[ z < 2.05]

= .6879 + 1 - .9798

= 0.7081

Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.

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I understand that the question you are looking for is:

Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.

What did aristotle and ptolemy say about the relationship of earth to other celestial bodies?.

Answers

Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

Aristotle from Classic Greece and Ptolemy from Roman Egypt agreed on three facts:

Earth and other celestial bodies are spherical in shape.Earth is in the center and all other celestial bodies revolve around it.The other planets orbit in a circular path.

This model of the solar system with Earth in the center is called as Geocentric model.

Therefore, Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

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using a(n) researchers can examine the brain's magnetic fields, which help researchers understand how certain tasks influence brain activity based on the speed and strength of the magnetic field.

Answers

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field. Which helped researchers to understand how certain tasks influence brain activity.

It isn't. Invaluable tool to study the large scale brain activity. And interactions with the body.

MEG was developed in 1960s .

In this technique weak magnetic forces associated with electrical activities of brain are monitored .

It collects activity from neurons visualized as brain waves and it is used with MRI in magnetic source imaging.

Med fields passes through the head without any distortion.

It provides a Spatial and temporal resolution.

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field.

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Ernest rutherford was an important early researcher in nuclear physics. In one experiment, he observed that particles with a positive charge deflected when passing through a thin sheet of gold foil. What conclusion did rutherford make in this observation?.

Answers

Gold foil experiment

Ernst Rutherford conducted the Gold Foil Experiment in which α particles (doubly charged Helium Atoms) were bombarded on a thin gold foil. This experiment led to the discovery of the nucleus.

1) Most of the particles passed through undeflected

⇒ this meant that most of an atom is empty space

2) Some Alpha particles were deflected by some small angles

⇒ Since alpha particles are positively charged species , they can only be deflected if there are some positively charged atoms present that would repulse these particles.

3) A few ( about 1/20000 particles) bounced back

⇒There is a heavy mass of positively charged species in the atom , and since the alpha particles bounced back , this mass of positively charged species must have been highly dense.

Therefore, from these observations and inferences Rutherford concluded that most of an atom is empty space and there is a mass of positively charged particles in the center of the atom called the nucleus which contains protons. The electrons revolve around this nucleus at high speeds.

The mass of the atom is concentrated in the nucleus and is very small in size , making it highly dense.

A certain reaction has an activation energy of 43.41 kj/mol. at what kelvin temperature will the reaction proceed 7.50 times faster than it did at 317 k?

Answers

The temperature required to increase the reaction rate by 7.50 times will be 332.63 K .

The speed at which a chemical reaction proceeds is known as the reaction rate.

We are given that ,

The activation energy = E = 43.41 kj/mol

Initial temperature = T₁ = 317 k

Therefore we can write as, the temperature at which reaction has 7.50 times faster than at 317 K be T₂ . Then the rate of a reaction increases because the rate constant increases with temperature.

The relation between temperatures, rate constants, and activation energy is given as,

(k₁/k₂) = E/R [(1/T₁ ) - (1/T₂)]

Where, k₁ is rate constant at temperature T₁ and k₂  is rate constant at temperature T₂ & R is gas constant having value 8.314 j/kmol .

Thus putting all the given values in above equation then we get,

7.50k/k = (434100 j/mol)/(8.314j/kmol)[(1/317k) - (1/T₂)]

7.50 =  52213.1344 k [ 0.00315 k⁻¹ - 1/T₂]

1/T₂ = 0.00315 K⁻¹  - (7.50/52213.1344)

T₂ = 332.63 K

Therefore the temperature required to increase the reaction rate by 7.50 times is given as T₂ = 332.63 K

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A tortoise can run with a speed of 16.3 cm/s, and a hare can run 220.2 cm/s. In a race, they both start at the same time, but the hare stops to rest for 1.6 min. The tortoise wins by 108 cm.

What was the length of the race in cm?

Answers

The correct answer is 369.2765m

Speed of tortoise = v_t= 16.3cm/s=0.163m/s

Speed of hare= v_h=220.2cm/s=2.202m/s

Rest time of hare is t_r=1.6min

Tortoise wins by distance of x = 108cm=1.08m

Consider that S is the length of a racetrack.

At the conclusion of the race, calculate the tortoise's distance travelled.

S=v_t×t

S=0.163m/s×t ______(1)

Here, t is the race's actual time.

Find out how long the hare spent racing.

t_h=t-t_r

t_h=t-1.6min×(60s/1min)

t_h=(t-2160)s

At the conclusion of the race, determine the hare's distance travelled.

S-x=v_h×t_h

S-1.08m=2.2×(t-2160)s

S=2.2×(t-2160)s+1.08m_____(2)

To determine the race time, substitute equation (1) for equation (2).

0.163m/s×t=S=2.2×(t-2160)s+1.08m

0.163t=2.26t-4752+1.08

4752-1.08=2.26t-0.163t

4750.92=2.097t

4750.92/2.097=t

2265.5=t

To determine the length of the race or the track, substitute the amount of time in equation (1).

S=0.163m/s×t

S=0.163×2265.5

S=369.2765m

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Neurons have a net negative charge at rest. This means that when they are active, they must have a positive charge. True or false?.

Answers

The statement is True.  

Neurons have a net negative charge when it is at rest. This means that when they are well active, they must have a positive charge.

At rest, neurons have a net negative charge; the inside of neurons is approximately 70 millivolts more negative than the outside. When neurons are active, they must be positively charged in order to generate an action potential.

Neurons have a strong negative charge within them, as opposed to a positive charge outside. This is due to the presence of other molecules known as anions. They are negatively charged but far too large to escape through any available channel. They remain in place and give the cell a negative charge on the inside.

Because of an unequal distribution of positive ions across the membrane, the resting potential is negative; 3 Na+ is pumped out of the cell for every 2 K+ that enters, so the inside of the cell is less negative (less positive) than its surroundings.

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A 23.23 g sample of a compound contains 7.41 g of potassium, k, 6.72 g of chlorine, cl, and oxygen, o. calculate the empirical formula.

Answers

The  empirical   formula  is KClO₃

Empirical formula - The simplest whole no. combination of element in that compound.

The  empirical  formula of the  compound is  calculated :

sample of compound (mass) ,M = 23.23g

potassium, k, = 7.41 g

 chlorine, cl,=  6.72

 oxygen, o, = ?

  [tex]M = k_{m} + Cl_{n} + o_{p}[/tex]

23.23g = 7.41g + 6.72g + o

o = 9.1g

the  moles  of  each  element,  (moles)  = mass/  molar  mass

moles of   K  =  7.41g/39 g/mol(molar  mass  of K)  =  0.18  moles

moles  of Cl = 6.72g/35.5 g/mol(molar  mass  of Cl) =  0.18 moles

moles of  O  =  9.1g/ 16g/mol(molar  mass of  O) = 0.57 moles

then  calculate e  mole ratio by  dividing  each  mole  by  the  smallest  number  of  moles  (  0.18 moles)

K= 0.18/0.18= 1

Cl=0.18/0.18=1

O=  0.56/0.18=3

Hence  the  empirical   formula  = KClO₃

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What is the mass in kilogram of 680ml of a substance that has a density of 0.930?

Answers

Mass of substance is 0.6324 kg

Given:

volume = V = 680ml = 0.68 L

density = D = 0.930

To Find:

mass in kg

Solution: mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force.

Density = mass/volume

mass = Density x Volume = 0.93 x 680

Mass = 0.6324 kg

Hence, the mass of substance is 0.6324 kg

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What is the minimum diameter of a steel wire if it is to support a mass of 80 kg? the elastic limit of steel is 5.0*10^8 pa

Answers

The minimum diameter of a steel wire is 1.41mm

STRESS : The restoring force per unit area. unit of stress is N/m²

     It is denoted by σ

      σ = F/ A

Where σ = stress

F = force

A = area

force = ma

Area of a steel wire is πr²

2r = d

so area becomes

π(d/2)² =πd²/4

here , mass = 80kg

elastic limit = 5.0×10⁸kg

using these values

σ = mg/ πr²

5×10⁸ = 80×10³ × 9.8/ π*d²/4

π *d²/4 = 784 ×10³ /  5×10⁸

           = 156.8 ×10⁻⁵

   d² = 19.9×10⁻⁵

   d = 1.41 mm

The minimum diameter of a steel wire is 1.41mm

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