A ball is released from the top of a 2-meter long ramp and rolls down with a uniform acceleration of 3 m/s^2.
a. How fast is the ball moving when it reaches the bottom of the ramp?
b. How long does it take to roll down the ramp?

Answers

Answer 1

Answer:

a. 3.46 m/s

b. 1.15 s

Explanation:

Given:

Δx = 2 m

v₀ = 0 m/s

a = 3 m/s²

a. Find v

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (3 m/s²) (2 m)

v = 3.46 m/s

b. Find t

Δx = v₀ t + ½ at²

2 m = (0 m/s) t + ½ (3 m/s²) t²

t = 1.15 s

Answer 2

Answer:

a. 3.46 m/s

b. 1.15 s

Explanation:


Related Questions

A toy car is allowed to travel down a ramp. The car travels 1.8 m is 4
seconds. What is the speed of the car?*

Answers

Answer:

0.45m/s

Explanation:

Given parameters:

Distance = 1.8m

Time  = 4s

Unknown:

Speed of the car  = ?

Solution:

The speed of a body is the distance divided by the time.

       Speed  = \(\frac{distance}{time}\)  

So;

     Speed  = \(\frac{1.8}{4}\)   = 0.45m/s

The drone can fly for 25 minutes before the battery needs recharging.
The power output of the battery is 65.0 W
Calculate the maximum energy stored by the battery.

Answers

Answer:

105.6 KJ

Answer

3.7/5

4

hope this will help you friend.

WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!

WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!
WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!

Answers

Answer:

Hello!

I do not have all ten listed out, however I can show you how to find out. First things first understand what the numbers mean on the table of elements. The number at the top is the atomic number. This represents how many protons an element has. This is also how many neutrons it has, because there is always the same number of protons and neutrons. The number at the bottom is the atomic mass. This is how much the atom weighs. To find the first 10 look for the elements with atomic numbers 1-10. It should be easy. I’ll give you the first one for example.

Hydrogen is the element with a atomic number of 1. Its atoms contain

-1 proton

- 1 neutron

-1 electron (also note the amount of electrons is equal to the amount of protons and neutrons)

Hydrogens atomic mass is (1.00784 u)

Lastly the symbol for hydrogen is (H)

Hope this helps!!!








Substance de compones at a rate proportional to the amount of A prosent. It is found that a tb of A will reduce to 4 lb in 38 hr. Anar how long wil there be only 16 2 There will be 1 to left?

Answers

The substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

Let the initial amount of A present be X lb. The rate of decomposition of A is proportional to the amount of A present. Therefore, the rate of decomposition = k * X where k is the proportionality constant. We know that 1 lb of A will reduce to 4 lb in 38 hours. So, the rate of decomposition = X/38.

Also, the rate of decomposition = k * X. Comparing both the equations, k = 1/38. Therefore, the rate of decomposition = X/38A substance will reduce to 1/16 of A present i.e., X/16. Using the equation for the rate of decomposition, we get, X/16 = (1/38)*X*(t). Simplifying, we get t = 95 hrs. Hence, the substance will be reduced to 1/16 of A present, that is 1 lb, in 95 hours.

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Why concave lens is called diverging lens​

Answers

When a parallel beam of light passes through a convex lens, the rays become farther from one another when the come out. This process of rays is called ''to diverge''. The concave lens makes rays of light diverge, so it is called diverging lens.

Why concave lens is called diverging lens

A bicyclist is finishing his repair of a flat tire when a chicken runs by with a constant velocity
of 3.5 m/s. Two seconds later, the bicyclist hops on his bike and accelerates at 2.4 m/s² until he catches the chicken. (A) How much time does it take until he catches the chicken? (B) How far has he traveled in
this time?

Answers

The time does it take until he catches the chicken 4.28 seconds. he traveled 10.3 m/s this time.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

3.5(t+2) = 0.5*2.4t+2, 3.5t + 7

= 1.2t+2, 1.2t+2 - 3.5t + 7 = 0, and d1 = d2

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

t = 4.28s.

d = d1 = d2 = 3.5(4.28+2)

= 22m.

The pace at which an object moves is its speed. The distance traveled divided by the time is the calculation for speed. Distance x time equals speed. The formula for distance can be found by rearranging the formula for speed.

V = Vo + at = 0.04 + 2.4 * 4.28

= 10.3 m/s.

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How is the answer D?

How is the answer D?

Answers

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

What is the period of a wave?

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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To extend the range of an ammeter, a(n) _____ can be added. these are connected in _____ to the meter movement coil.

Answers

Answer:

A "resistor" can be connected in "parallel" to the meter

Suppose that an ammeter reads from 1-10 amps.

Now add a resistor in parallel to the ammeter where the resistor has the same value as the resistance of the ammeter - Now the ammeter will read 1-20 amps because only 1/2 the current passes thru the ammeter.

Una pelota cae con una energía de 1 J y bota al llegar al suelo. Si tras el bote su energía es de 0,998 J, ¿podemos afirmar que la energía se ha destruido?

Answers

Answer:

The energy is not destroyed, the energy has been transformed into another kind of energy, in this case to heat with energy of 0,002 J

Explanation:

One of the fundamental principles of physics states that energy is neither created nor destroyed, it is only transformed.

In this case, when the ball with an energy of 1 J bounces on the ground, it loses an energy equivalent to 1-0.998 J = 0.002 J. This energy of 0.002 J is not destroyed in the process, but is transformed into another type of Energy. In this case, said energy has been converted to heat. A heat equivalent to 0.002 J of energy.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Translation to spanish

Uno de los principios fundamentales de la física afirma que la enegía no se crea ni se destruye, sólo se transforma.

En este caso, cuando la pelota con una energía de 1 J rebota en el suelo pierde una energía equivalente a 1-0,998 J = 0,002 J. Esta energía de 0,002 J no se destruye en el proceso, sino que se transforma en otro tipo de energía. En este caso dicha energía se ha convertido en calor. Un calor equivalente a 0,002 J de energía.

in three situations, a briefly applied horizontal force changes the velocity of a hockey puck that slides over frictionless ice. the overhead views of the figure indicate, for each situation, the puck’s initial speed vi, its final speed vf, and the directions of the corresponding velocity vectors. rank the situations according to the work done on the puck by the applied force, most positive first and most negative last.

Answers

The work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

\(F= \frac{mv}{t}\)

The force applied to an object increases with increases in the velocity of the object.

In the given diagram, the resultant velocity of the puck is calculated as follows;

Figure a:

\(\Delta v = v_f -v_i\\\\\Delta v = 5 - 6 = - 1 \ m/s\)

Figure b:

\(v = \sqrt{4^2 + 3^2} \\\\v = 5 \ m/s\)

Figure c:

\(\Delta v = 4 - (-2)\\\\\Delta v = 6 \ m/s\)

Thus, the work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

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in three situations, a briefly applied horizontal force changes the velocity of a hockey puck that slides

1. In a discussion, outline elaboratively 5 of the 10 major external forces that affect organizations: economic, social, cultural, demographic, environmental, political, governmental, legal, technological, and competitive. (You may choose any 5 ) 2. I want you to tell me CONVINCINGLY, the importance of gathering competitive intelligence. 3. In business we are aware that economic factors have tremendous impacts in the various strategy applications. Name a few economic variables that we need to monitor. 4. Social, cultural, demographic, and environmental changes have a major impact on virtually all products, services, markets, and customers, that's a given, in your own opinionated words why is this so. 5. List 5 key external factors of your choice including both opportunities and threats you believe affect the firm and its industry. List the opportunities first and then the threats. 6. Explain your opinion on how to prioritize and determine a firm's internal weaknesses and strengths. 7. What do you understand about financial ratio analysis, what is it, and why is it so important in business. 8. A major responsibility of strategists is to ensure development of an effective external audit system. Why do you think this is so? Explain your opinion in this.

Answers

1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.

Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.

Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.

2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.

By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.

Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.

Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.

3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.

Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.

By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.

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Simplify the indical equation 5m^2×6ms^-2/10s

Answers

We are given the following expression:

\(\frac{5m^2\times6ms^{-2}}{10s}\)

First, we will solve the operations associated to the coeffitients:

\(\frac{30m^2ms^{-2}}{10s}\)

Solving the fraction:

\(3\frac{m^2ms^{-2}}{s}\)

Now we solve the units of measurement:

\(\frac{3m^3}{s^3}\)

true/false. let f be a composition of two reflections in two hyperbolic lines prove that if the two lines are parallel, then f is parabolic.

Answers

Let f be a composition of two reflections in two hyperbolic lines. If the two lines are parallel, then f is parabolic. The given statement is true because the composition of two reflections in these lines results in a parabolic transformation

To prove this, we need to consider the composition of two reflections in hyperbolic geometry. A reflection in a hyperbolic line is an isometry that maps a point to its mirror image with respect to that line. When we compose two reflections in two distinct hyperbolic lines, the resulting transformation is either a translation, a rotation, or a parabolic transformation.

In our case, we are given that the two hyperbolic lines are parallel. In hyperbolic geometry, this means that they do not intersect and they share a common perpendicular line. When we compose two reflections in parallel lines, we can observe that the transformation preserves orientation and has a unique fixed point on the common perpendicular line. This unique fixed point is called the "parabolic fixed point," and the transformation that possesses such a point is called a parabolic transformation. Therefore, if the two lines are parallel, the composition of two reflections in these lines results in a parabolic transformation, and our statement is true.

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In order for an object to have a perfectly circular orbit, what one thing must occur?
An object must have the exact mass to orbit in a circle.
An object must have the exact speed to achieve the circular orbit.
An object must have enough speed to create escape velocity.

Answers

In order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.

What is a circular orbit?

A circular orbit is a circular path which an object continuously follow in the course of its movement.

The earth and planets have a circular orbit around the sun.

The circular orbit is maintained by a balance between centripetal and centrifugal forces.

Therefore, in order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.

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How fast was the storm that hit Galveston and how men died?​

Answers

Answer:

The storm was a category 4 hurricane that struck Galveston, Texas, on September 8, 1900, bringing winds of 130 miles (210 km) per hour and high tides that overwhelmed the low-lying coastal city, demolishing buildings and claiming more than 8,000 lives.

00p- now I can actually answer :)

Hope that I helped you a little :0

What happens to the electric force between two particles if the distance
between them is doubled?
A. It decreases to half the original force.
B. It increases to twice the original force.
C. It increases to 4 times the original force.
D. It decreases to 1/4 of the original force.

Answers

Answer:

D.

Explanation:

Force and distance are inversely related, so a greater distance results in a weaker force.

you have an open tube that is 1.7m long what is the fundemental frequency and wavelength of the tube

Answers

The 1.2 year is brown brown pink blue brown brown blue blue pink

The table shows the percentage of carbon dioxide in the Earth’s atmosphere in the years 1800 and 2013. Calculate the difference in the mass of carbon dioxide in 500 kg of air in 2013 compared to 1800. Select the correct answer.

The table shows the percentage of carbon dioxide in the Earths atmosphere in the years 1800 and 2013.

Answers

The difference in the mass of carbon dioxide in 500 kg of air in 2013 compared to 1800 is 0.06 Kg

Data obtained from the questionYear 1800 percent = 0.028%Year 2013 percent = 0.040%Mass of air = 500 KgDifference =?

How to determine the mass of CO₂ in 500 Kg in year 1800Year 1800 percent = 0.028% Mass of air = 500 KgMass of CO₂ =?

Mass = percent × mass of air

Mass of CO₂ = 0.028% × 500

Mass of CO₂ = 0.14 Kg

How to determine the mass of CO₂ in 500 Kg in year 2013Year 1800 percent = 0.040% Mass of air = 500 KgMass of CO₂ =?

Mass = percent × mass of air

Mass of CO₂ = 0.040% × 500

Mass of CO₂ = 0.2 Kg

How to determine the differenceMass of CO₂ in year 1800 = 0.14 KgMass of CO₂ in year 2013 = 0.2 KgDifference =?

Difference = mass in 2013 - mass in 1800

Difference = 0.2 - 0.14

Difference = 0.06 Kg

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which statement is true about an orbit with an eccentricity of almost 1?
a)The orbit is a circle
B)The orbit is almost an ellipse
C)The orbit is a very long and narrow ellipse
D)The orbit is an ellipse that is al,ost circuklar

Answers

The statement that is true about an orbit with an eccentricity of almost 1 is:

C) The orbit is a very long and narrow ellipse.

The eccentricity of an orbit is a measure of how elongated or stretched out the shape of the orbit is. The eccentricity of an orbit ranges from 0 to 1, with 0 representing a perfectly circular orbit and 1 representing a highly elongated or eccentric orbit.

When the eccentricity is almost 1, it indicates that the orbit is highly elongated or stretched out. This means that the orbit is no longer close to being circular but takes on the form of a long and narrow ellipse. The closer the eccentricity is to 1, the more elongated the orbit becomes. Therefore, option C, stating that the orbit is a very long and narrow ellipse, is the correct statement for an orbit with an eccentricity of almost 1.

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Encuentra la magnitud y dirección de la suma de los siguientes vectores: A= 7m al noreste B= 12m 50° al oeste del norte

Answers

Pon foto de lo que te muestra así no se puede contestar xd

In which scenario is work being done on an object?

a) A force is applied to an object to hold it at rest on an inclined plane.
b) Sitting on a box.
c) An upward force is applied to an object to move it upward at a constant speed.
d) An upward force is applied to an object to suspend it motionless in mid-air.

Answers

Answer:c

Explanation:

To solve this, we must know each and every concept related to work. Therefore, the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

What is work?

Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.

When a force is applied, it is said to produce positive work if it has a portion in the directions of the movement of the site of application. Work is done on a body is equivalent to an increase in the body's energy, because work transmits energy to the body. If, on the other hand, the force acting is in the opposite direction as the item's motion, the work is regarded negative, suggesting that energy is withdrawn from the object.

Therefore,  the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

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what is the force on a body if the mass of the body is 2300g? (acceleration due to = 9.8ms-1) ​

Answers

Hello jamaicandoll!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

What is the force on a body if the mass of the body is 2300g? (acceleration due to gravity = - 9.8m/s²) .

\( \huge \boxed{\mathfrak{Answer} \downarrow}\)

Given,

Mass (m) = 2300 g = 2.3 kgAcceleration (a) = -9.8 m/s²Force (F) = ?

We know that, force = mass × acceleration.

So,

F = ma

F = 2.3 × -9.8

F = \(\boxed{\underline{\bf \: -22.54\:N}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

A circuit diagram with a power source labeled 12 V is connected to 3 resistors in series. The resistors are labeled 1.0 Ohms, 2.0 Ohms, and 3 Ohms. Calculate the equivalent resistance in the circuit shown.

0.55 Ω
1.8 Ω
2.0 Ω


Its A "0.55" I guessed and got it right

Answers

Answer:

there it is fella u were right with ur answer

A circuit diagram with a power source labeled 12 V is connected to 3 resistors in series. The resistors

Simulate a blackbody spectrum of temperature 900 Kelvin. Determine the peak wavelength in nanometers of an object of that temperature nanometers What is the emissive intensity of the object (the amount of power emitted per unit area )? ×10 W/m 2

Answers

A blackbody spectrum of temperature 900 Kelvin has been simulated. The peak wavelength in nanometers of an object of that temperature is determined to be nanometers. The intensity of the blackbody radiation at a given temperature and wavelength can be determined using Planck's law.

Planck's law, which describes the intensity of blackbody radiation, is given byI(λ) = 2hc²λ⁻⁵[exp(hc/λkT) - 1]⁻¹Where c = speed of light, h = Planck's constant, k = Boltzmann constant, T = temperatureλ = wavelength of lightI (λ) = spectral radiant intensity expressed in watts per square metre per unit wavelength.

Simulating the blackbody spectrum for a temperature of 900 K:

Using the equation for peak wavelength λ_max = 2897/T nm, where T = 900 KTherefore,λ_max = 2897/900λ_max = 3.22 µm or 3220 nm.

The emissive intensity of the object (the amount of power emitted per unit area) is given asI = σT⁴, where σ is the Stefan-Boltzmann constant.

Therefore,I = σT⁴ = 5.67 × 10⁻⁸ × (900)⁴W/m²= ×10 W/m².

Hence, the emissive intensity of the object is ×10 W/m².

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in which state is it possible for the sun to be directly overhead at local noon?

Answers

the sun can be directly overhead at local noon in states located between the Tropic of Cancer and the Tropic of Capricorn. as the angle of the sun's rays will always be at an angle.

The equator is an imaginary line that circles the Earth at 0 degrees latitude. States that are near the equator, such as Ecuador, Colombia, Brazil, Kenya, and Indonesia, experience the sun being directly overhead at local noon twice a year, during the equinoxes.

This is because the Earth's axis is tilted at an angle of about 23.5 degrees, which causes the sun's angle to change throughout the year as the Earth orbits around it. States that are farther away from the equator will not experience the sun being directly overhead at local noon, as the angle of the sun's rays will always be at an angle.

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A person who takes 30 mins to bike five miles west to the store and returns home in 30mins via the same routes.

What is the average of speed and velocity?​

Answers

Answer: To determine the speed of an object, you need to know the distance traveled and the Time = 4.0 seconds The speed of the cheetah in miles per hour is 63 mph 5. How far can a person run in 15 minutes if he or she runs at an average .

Explanation: I hope that was helpful !

Our Solar System's planets formed when fragments in space joined together to form growing spheres in a process known as ____​

Answers

Answer: accretion......

Pls give full explanation!

Pls give full explanation!

Answers

1. The part that shows the body is accelerating is the first 2 hours (ABE). The acceleration is 20 Km/h²

2. The part that shows the body is coming to rest the last 2 hours (CDF)

3. The distance travelled in the first 2 hours is 40 Km

1. How to determine the accelerated motion

Acceleration is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a is the acceleration v is the final velocity u is the initial velocity t is the time

From the diagram (ABE), we can see that the body starts from rest and attain a final velocity (40 Km/h) within the first 2 hours. This clearly indicates that the body is accelerating.

The acceleration can be obtained as followed:

Initial velocity (u) = 0 Km/hFinal velocity (v) = 40 Km/hTime (t) = 2 hoursAcceleration (a) = ?

a = (v – u) / t

a = (40 – 0) / 2

a = 20 Km/h²

2. How to determine the part showing the body is coming to rest

From the diagram (CDF), we can see that the object velocity changes from 40 to 0 within the last 2 hours. This clearly indicates that the object caming to rest.

3. How to determine the distance travelled in the first 2 hours Initial velocity (u) = 0 Km/hFinal velocity (v) = 40 Km/hTime (t) = 2 hoursAcceleration (a) = 20 Km/h²Distance (s) = ?

v² = u² + 2as

v² = 2as

s = v² / 2a

s = 40² / (2 × 20)

s = 40 Km

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spacetime is a. another name for gravity. b. the combination of time and the three dimensions of space. c. a curved rubber sheet.

Answers

b. Spacetime is the combination of time and the three dimensions of space. It is a four-dimensional framework that incorporates both space and time, as described by the theory of general relativity.

Spacetime refers to the four-dimensional framework that combines the three dimensions of space with the dimension of time. It is a concept derived from Albert Einstein's theory of general relativity. In this theory, gravity is not seen as a separate force but rather as the curvature of spacetime caused by mass and energy. The presence of mass and energy warps the fabric of spacetime, causing objects to follow curved paths in their motion. The combination of space and time into a single interconnected entity, known as spacetime, allows for a unified understanding of the geometric nature of the universe and the behavior of objects within it.

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Most battery-powered devices won?t work if you put the battery in backward. But for a device that you plug in, you can often reverse the orientation of the plug with no problem. Part A Explain the difference. a. You can often reverse the plug in the wall because it is an AC. However, a battery is a DC. b. Battery-powered devices are low-powered. c. Battery-powered devices have many defects in their construction d. You can often reverse the plug in the wall because it is a DC. However, a battery is an AC.

Answers

Battery-powered devices require the correct orientation of the battery to function properly.

The difference between being able to reverse the orientation of a plug in a wall outlet versus a battery has to do with the type of electrical current being used.

Wall outlets provide AC (alternating current) power, which means that the direction of the electrical flow switches back and forth rapidly. This means that the orientation of the plug doesn't matter, since the current will flow in either direction.

In contrast, batteries provide DC (direct current) power, which means that the electrical flow only goes in one direction. If a battery is inserted backwards, the current will flow in the wrong direction and the device won't work properly or may even be damaged. Therefore, battery-powered devices require the correct orientation of the battery to function properly.

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For battery-powered gadgets to operate properly, the battery must be positioned correctly.

The type of electrical current being utilised determines whether a plug in a wall outlet can be turned around vs whether a battery can.

The electricity that comes out of wall plugs is AC (alternating current), which means that the flow of electricity rapidly changes direction. Because the current can flow in either direction, the plug's orientation is irrelevant.

Batteries, on the other hand, deliver DC (direct current) power, which refers to electrical flow that only occurs in one direction. The device won't function properly or might even be harmed if a battery is inserted backwards since the current will flow in the wrong direction. As a result, batteries must be oriented appropriately for battery-powered gadgets to work properly.

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Other Questions
Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $4,500 for their reception. If the reception hall charges a $90 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget. Select two ways you could display bivariate data.1.Table2.Map3.Notation4.Graph Which of the following was NOT a plan for American expansionism in the early nineteenth century? ex 2. the student senate at a university with 17,000 students is interested in the proportion of students who favor a change in the grading system to allow for plus and minus grades (e.g., b , b, b-, rather than just b). two hundred students are interviewed to determine their attitude toward this proposed change.(a) What is the population of interest?O the entire student body (the 17,000 students)O the 200 students InterviewedO the 2,000 students interviewedO all students who favor a change in the grading systemO the student senate(b) What group of students constitutes the sample in this problem?O the entire student body (the 14,000 students)O the 200 students interviewedO the 2,000 students interviewedO all students who favor a change in the grading systemO the student senateC.select one of the following what are 3 pairs of atoms that will connect? Which term refers to the fraudulent practice of using email communication to induce individuals to divulge confidential or personal information? Solve the following 0-1 integer programming model problem by implicit enumeration.Maximize 2x1 x 2 x 3Subject to 2x 1 +3x 2 x 3 42x 2 +x 3 23x 1 +3x 2 +3x 3 6x 1 ,x 2 ,x 3 {0,1} The following question has two parts. Answer Part A first, and then Part B.Part AWhich of the following statements best conveys the scientific evidence about intelligence presented in the selection from The Future of the Mind? A. A person's intelligence does not change after early adulthood. B. Most people who are considered geniuses look and act differently from the average person. C. A person's intelligence is more crucial to his or her success than any quality of personality. D. Most people who are considered geniuses use intelligence, imagination, and hard work to achieve their goals.Part BWhich sentence from the selection from The Future of the Mind most clearly supports the answer to Part A? A. The picture that the name [Einstein] conjures up (baggy pants, flaming white hair, disheveled looks) is equally iconic and instantly recognizable. B. Since brain cells are notoriously hard to grow, it was once thought that intelligence was fixed by the time we became young adults. C. All of us are born with certain abilities that are programmed into our genes and the structure of our brains. D. The point here is that genius is perhaps a combination of being born with certain mental abilities and also the determination and drive to achieve great things. help Correct the sentences.The javelin thrower through his personal best oregon.1. The javelin thrower threw his personal best in Oregon2. The javelin thrower throwed his personal best in Oregon3. The javelin threw through his personal best in Oregon4. The javelin thrower through his personal best in oregon Eleanor and Park Questions: Chapters 11-15 What does Richie call Eleanor, and how does this comment affect Eleanor? How does this comment characterize Richie? why do my armpits smell like onions all of a sudden when assessing a client with an indwelling urinary catheter, which observation requires the most immediate intervention by the nurse? # Use five functions dim(), colnames(), str(), head() and tail() to explore all the superbowl table Mary, Jane, Tom, Andy saved for 6 weeks like this:-M: 2, 4, 8, 16,J: 10, 12, 14, 16,T: 7, 13, 19, 25,A:3,6,9..Work out how much each person saved so that you can put their names inorder of how much they saved, from smallest to largest amount.Enter your code as a four-lettered "word" T/F: The more complicated the pattern, the more necessary a focal point may become in organizing the design. Note that common work styles are listed toward the top and less common work styles are listed toward the bottom. According to O*NET, what common work styles do Manicurists and Pedicurists need? Check all that apply.correctcooperationdependabilityself-controlconcern for others Whats the difference between fmri and smri Need help immediately!!Mother to SonWell, son, I'll tell you:Life for me ain't been no crystal stair.It's had tacks in it,And splinters,And boards torn up,And places with no carpet on the floor Bare.But all the timeI'se been a-climbin' on,And reachin' landin's,And turnin' corners,And sometimes goin' in the darkWhere there ain't been no light.So, boy, don't you turn back.Don't you set down on the steps.'Cause you finds it's kinder hard.Don't you fall nowFor I'se still goin', honey,I'se still climbin',And life for me ain't been no crystal stair.Langston Hughes1. What images can be seen from these particular words? And why does Hughes pick these particular things as symbols in this poem?2. What was your reaction to the speaker of this poem? 3. Do you agree with the advice that the mother gives her son? Why or why not? 4. What do you think the speaker means when she says that her life has not been a crystal stair? How do you compare PPP between two countries?. Which statement is a TRUE statement about rectangles?A. The angles in a rectangle are all different.B. The sides in a rectangle are not parallel.C. The opposite sides in a rectangle are equal.D. All the sides in a rectangle are equal.I NEED THE ANSWER FAST PLS!