What is the value, in meters per second squared, of the acceleration of
gravity?

Answers

Answer 1

Answer:

9.80665 is the value in meters per second squared


Related Questions

the average speed of a car that travels a distance of 240 km is three hours

Answers

Answer:

80km/h

Explanation:

Average speed = distance/time

Given

Distance = 240km

Time = 3 hours

speed = 240km/3hrs

= 80km/h

One of the first scientists to theorize that heat is caused by the motion of objects or particles was Abū Rayhān al-Bīrūnī, who lived in the region of modern-day Iran during the 11th century. In addition to his studies in physics and mathematics, al-Birunī was extremely interested in the different cultures of his time. Because of his detailed study of peoples and cultures, he is considered by many to be the "father of anthropology." About 600 years later, an English scientist named Robert Hooke also argued that heat is caused by motion. Hooke made many discoveries in physics, but he was also an accomplished architect and surveyor. He applied these skills to help rebuild London after the great fire of 1666. The above example suggests that A. scientists with different backgrounds never reach similar conclusions. B. scientists tend to come from similar backgrounds. C. scientists possess varied talents and interests. D. scientists have similar talents and interests.

Answers

Answer:

C. scientists possess varied talents and interests.

Explanation:

The above passage suggests clearly that often times, scientists possess varied talents and interests.

Cases were made of  Abū Rayhān al-Bīrūnī and Robert Hooke. Both were scientists and had the same time had interests in other disciplines.

Abū Rayhān al-Bīrūnī, a Persian made scientific contribution to the studies of heat, more so, his interest in cultures lucidly made him an erudite and foremost founding father of anthropology. Physics/mathematics and Anthropology are different fields with varied interests. Robert Hooke, was interested in physics. Besides this, he was skilled architect and surveyor. Physics and architecture/surveying are different fields. They are varied and dissimilar in nature.

Therefore, we can argue that the tone set by the author conveys a clear focal point that often times, scientists possess varied talents and interests.

Answer:

c

Explanation:


Your lab group has been given a mixture of sand and water. The task at hand is to separate the sand from the water, producing a container of sand and a second container of water. Maria suggests using the procedure called crystallization but several other group members think that filtration would be the best way to separate the two. Provide support for the second separation method, filtration. All BUT ONE point is valid.
A) Sand is an insoluble solid that does not dissolve in water.
B) The two parts of the mixture, sand and water, have different boiling points.
C) Sand particles are large enough to be stopped by a piece of filter paper, separating the sand from the water.
D) Although crystallization would separate the sand from the water, it would not provide a method to collect the water.

Answers

Answer:

The answer is B

Explanation:

I just took it on USATESTPREP

Final answer:

Filtration is the best method to separate sand from water because sand is insoluble, filter paper can trap sand particles, and crystallization does not collect water.

Explanation:

The best method to separate sand from water in this scenario is Filtration. Filtration is a process that uses a porous material, such as filter paper, to separate solid particles from a liquid. This method is effective because:

Sand is an insoluble solid that does not dissolve in water. Unlike soluble substances, sand particles do not dissolve in water and can be physically separated. Sand particles are large enough to be stopped by a piece of filter paper, separating the sand from the water. The filter paper acts as a barrier, allowing only the liquid (water) to pass through and trapping the solid particles (sand). Although crystallization would separate the sand from the water, it would not provide a method to collect the water. Crystallization is a process where a dissolved solute is separated from a solvent by cooling or evaporation. However, it is not an efficient method for collecting the water component of the mixture.

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1. What is the atomic number of an atom? Why is this number important? |

Answers

Answer:

The atomic number is the number of protons in an atom's nucleus.

The atomic number is important, because it determines which element an atom is.

Answer:

Explanation:

It is the number of protons in the nucleus which determines all the characteristics of the atom and its place on the periodic table


A free body diagram of a brick on an inclined plane is shown below. What is the mechanical advantage of the inclined plane?

Answers

Final answer:

The mechanical advantage of an inclined plane can be calculated using the formula: MA = length of incline / height of incline. For example, if the length of the incline is 10 meters and the height of the incline is 2 meters, then the mechanical advantage would be 5.

Explanation:

The mechanical advantage of an inclined plane can be calculated using the formula:



Mechanical Advantage (MA) = length of incline / height of incline



In the case of a brick on an inclined plane, the length of the incline would be the distance along the surface of the plane and the height of the incline would be the vertical distance from the base of the incline to the top.



For example, if the length of the incline is 10 meters and the height of the incline is 2 meters, then the mechanical advantage would be 10 / 2 = 5.

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Final answer:

The mechanical advantage of an inclined plane can be calculated using the length and height of the incline, which tells us how much the plane multiplies the effort force, simplifying tasks like lifting heavy objects.

Explanation:

To calculate the mechanical advantage (MA) of an inclined plane, you can use the formula MA = Length of Incline / Height of Incline. The mechanical advantage tells you how much the inclined plane multiplies the effort force, allowing you to overcome the weight of the object with less force. This efficiency is due to the larger distance over which the force is applied when using the inclined plane as compared to lifting the object straight up.

The ideal mechanical advantage (IMA) is the theoretical maximum mechanical advantage you could get from an inclined plane if there were no energy losses due to friction. In reality, the actual mechanical advantage will be less than the ideal mechanical advantage because of frictional forces.

Applying this concept, pushing a brick up an inclined plane requires less force than lifting it vertically because the weight of the brick is distributed over a longer distance. The inclined plane, a simple machine, reduces the effort needed to raise the brick, similar to how ancient civilizations like the Egyptians used ramps to lift heavy blocks during pyramid construction.

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A weightlifter lifts a barbell above her head. Is there work done on the barbell?

Answers

Answer:

Yes

Explanation:

The work done on a body relies upon the force, displacement, and the angle made between the force and the displacement.

Here, the force acting on the barbell is vertically downwards while the vertical displacement is in the upward direction. The angle made between the force (weight) and the displacement is [tex]180^{\circ}.[/tex] Thus, a work will be done on the barbell by its weight.

The work done on a body relies upon the force, displacement, and the angle made between the force and the displacement.

What is force?

A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is body with some mass than there is force.

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.

Here, the force acting on the barbell is vertically downwards while the vertical displacement is in the upward direction. The angle made between the force (weight) and the displacement.

Thus, a work will be done on the barbell by its weight.

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2 Points
Which of the following means the same thing as 'a guess you make about
what the results of your experiment will be?
O
A. Investigation
O
B. Question
O
C. Prediction
O
D. Summary
SUBMIT
PREVIOUS

Answers

Answer:

C. Prediction

Explanation:

A guess made about the results of an experiment is a called a prediction.

Prediction is the probability that an event will occur or not.

It is used widely in formulation of hypothesis. A hypothesis is simple scientific guess, therefore, we can say, it is a scientific prediction. When experiment is conducted and it fits the predictive model, we can conclude that our prediction is correct. Prediction is common process in scientific method.

Help! I’m so confused by this

Answers

it is a transverse wave

A transverse wave is the one that sets the particles of medium into oscillations perpendicular to the direction of wave propagation. So yes, a transverse wave needs a materialistic medium to propagatee.

Examples of transverse waves include:

ripples on the surface of water.

vibrations in a guitar string.

a Mexican wave in a sports stadium.

electromagnetic waves – eg light waves, microwaves, radio waves.

transverse waves require a material medium and propogate by means of vibrations of the medium perpendicular to the direction of travel. ... Electromagnetic (EM) waves (such as light) are also transverse waves but they do not require a medium and thus can pass through a vacuum

It is a transverse wave

How much force is needed to accelerate a 34 kg skier at 4 m/s2?

Answers

Answer:

Net force needed to accelerate the skier is 136 N

Explanation:

As per Newton's 2nd law we know that net force on the system is product of mass and its acceleration

here we know that

m = 34 kg

[tex]a = 4 m/s^2[/tex]

so we have

F = ma

[tex]F = 34 \times 4[/tex]

[tex]F = 136 N[/tex]

9) Which is a difference between plant and animal cells?

Answers

Answer:Plant Cells have big Vacouls whereas Animal cell have small Vacouls. Plant Cell have cell wall and cell membranes but animal cell has got cell membranes only. Plants cell has Chloroplast and whereas in animal cell it's absent. Plastids absent in animal cell and present in plant cell.

Explanation:

How does mass affect the force of gravity between 2 objects?

Answers

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases.

Answer:

Force due to gravity increases on increasing the masses and decreases on decreasing the masses.  

Explanation:

The force due to gravity (F) acting between any two given bodies can be expressed as,

[tex]F = G\frac{m_{1} m_{2}}{r^{2}}[/tex]

Here,

G = gravitational constant

[tex]m_{1}[/tex] = mass of the first body

[tex]m_{2}[/tex] = mass of the second body

[tex]r =[/tex] separation between the bodies

It is clear from the above expression that the force due to gravity acting between the two bodies is directly proportional to the product of the masses of the bodies.

An object falls 210 m in 6.3 s. What was it's initial velocity? Express your answer with the correct number of significant digits.

Answers

Answer:

[tex]u = 2.5 \ m/s[/tex]

Explanation:

Given data:

Height, [tex]h = 210 \ m[/tex]

Time, [tex]t = 6.3 \ s[/tex]

Let the initial velocity of the object be u.

From the kinematic equation,

[tex]h = ut + \frac{1}{2}gt^{2}[/tex]

[tex]210 = u \times 6.3 + 0.5 \times 9.80 \times (6.3)^{2}[/tex]

[tex]\Rightarrow \ u = 2.46 \ m/s[/tex]

[tex]u = 2.5 \ m/s[/tex] (rounding to tenth place)

Final answer:

The object's initial velocity was calculated to be 62 m/s after falling 210 m in 6.3 s.

Explanation:

The initial velocity of the object can be calculated using the formula:

v = u + gt

where:

v is the final velocity (0 m/s as the object stops), u is the initial velocity, g is the acceleration due to gravity (-9.8 m/s²), and t is the time taken (6.3 s).

Plugging in the values:

0 = u - 9.8*6.3

u = 9.8*6.3

u = 61.74 m/s

Rounded to the correct significant digits:

u = 62 m/s

While jumping on a trampoline you calculate that at the highest peak of your jump you have 900 joules of gravitational potential energy. What will be your kinetic energy just before landing back on the trampoline?

Answers

Jumping on a trampoline is a classic example of conservation of energy, from potential into kinetic. It also shows Hooke's laws and the spring constant. Furthermore, it verifies and illustrates each of Newton's three laws of motion.

Explanation

When we jump on a trampoline, our body has kinetic energy that changes over time. Our kinetic energy is greatest, just before we hit the trampoline on the way down and when you leave the trampoline surface on the way up. Our kinetic energy is 0 when you reach the height of your jump and begin to descend and when are on the trampoline, about to propel upwards.

Potential energy changes along with kinetic energy. At any time, your total energy is equal to your potential energy plus your kinetic energy. As we go up, the kinetic energy converts into potential energy.

Hooke's law is another form of potential energy. Just as the trampoline is about to propel us up, your kinetic energy is 0 but your potential energy is maximized, even though we are at a minimum height. This is because our potential energy is related to the spring constant and Hooke's Law.

A 7.0kg skydiver is descending with a constant velocity

Answers

Answer:

The air resistance on the skydiver is 68.6 N

Explanation:

When the skydiver is falling down, there are two forces acting on him:

- The force of gravity, of magnitude [tex]mg[/tex], in the downward direction (where m is the mass of the skydiver and g is the acceleration due to gravity)

- The air resistance, [tex]R[/tex], in the upward direction

So the net force on the skydiver is:

[tex]F=mg-R[/tex]

where

m = 7.0 kg is the mass

[tex]g=9.8 m/s^2[/tex]

According to Newton's second law of motion, the net force on a body is equal to the product between its mass and its acceleration (a):

[tex]F=ma[/tex]

In this problem, however, the skydiver is moving with constant velocity, so his acceleration is zero:

[tex]a=0[/tex]

Therefore the net force is zero:

[tex]F=0[/tex]

And so, we have:

[tex]mg-R=0[/tex]

And so we can find the magnitude of the air resistance, which is equal to the force of gravity:

[tex]R=mg=(7.0)(9.8)=68.6 N[/tex]

A crane lifts an l-bean to a height of 30 meters giving it a potential energy of 108,486). What is the mass of the I-beam?

Answers

369 kg

Explanation:

Step 1:

We know that the expression for potential energy is

PE = mgh

where, m =Mass

            g = Acceleration due to gravity

            h Height

Step 2:

Here m = ?

         PE = 108486

         h = 30 m

          g = 9.8 ms⁻²

108486 = [tex]30 * 9.86 * m[/tex]

[tex]m= 108486 / (9.8*30) = 369 kg[/tex]

v=vi+at^2 dimensional correct

Answers

Answer:

Yes, dimensionally the equation is correct.

Explanation:

This equation is the kinematic equation for uniformly accelerated motion, then we study the units of each member to conclude whether it is dimensionally correct.

vi = initial velocity [m/s]

a = acceleration [m/s^2]

t = time [s]

v = final velocity

therefore we have:

[m/s] + [m/s^2]*[t^2], the second term now is m/s

[m/s]  + [m/s] = [m/s]

So the analysis is correct.

What mixture is a blueberry muffin

Answers

Answer:

Soft  bumpy   smooth

Explanation:

Showing your work clearly, what is the angle between two vectors A and B if
A=3.0i - 4.0j
B=-2.0i+3.0k​

Answers

Answer:

      [tex]\large\boxed{\large\boxed{70.6\º}}[/tex]

Explanation:

1. Calculate the scalar product using the coordinates

   [tex]A\cdot B=(3.0\hat i-4.0\hat j+0\hat k)\cdot (-2.0\hat i+0\hat j+3.0\hat k)\\\\A\cdot B=(3)(-2)+(-4)(0)+(0)(3)=-6[/tex]

2. Write the scalar product using the cosine of the angle

     [tex]A\cdot B=|A|\cdot |B|\cdot cos\theta[/tex]

                    [tex]|A|=\sqrt{(3.0)^2+(-4.0)^2}=\sqrt{9.0+16.}=5.0[/tex]

                     [tex]|B|=\sqrt{(-2.0)^2+(3.0)^2}=\sqrt{4.0+9.0}=\sqrt{13.0}[/tex]

3. Equal the two scalar products and solve for cos(θ)

           [tex]-6.0=(5.0)(\sqrt{13.0})cos\theta\\\\cos\theta=0.3328\\\\\theta = arccos(0.3328)=70.6\º[/tex]

A balloon has a volume of 3.5-L at 25^ * C . What would be the volume of the balloon if it were placed in a container of hot water at 95^ * C ?

Answers

Answer:

4.3 L

Explanation:

Ideal gas law:

PV = nRT

Rearrange:

V / T = nR / P

Since n, R, and P are constant:

V₁ / T₁ = V₂ / T₂

Plug in values and solve:

(3.5 L) / (25 + 273.15 K) = V / (95 + 273.15 K)

V = 4.3 L

A hypothetical situation of being stranded on a deserted island without water is often posed to students. A model of a process used to separate salt water into its components is shown here. Justify the use of the flame in the model depicting the separation of the mixture.

A) The flame will sterilize the water, so that water from the ocean will be consumable. This is known as sanitation.
B) The flame will allow the pure water and salt water to separate into different layers. This is known as density separation.
C) The flame will burn the salt component of the mixture, leaving only the pure water behind for drinking. This is known as combustion.
D) The flame will allow the water to evaporate and be collected in its pure form, leaving the salt component behind. This is known as distillation.

Answers

Answer:

The correct answer is D!

Explanation:

I got it wrong when I put C.

The flame will allow the water to evaporate and be collected in its pure form, leaving the salt component behind. This is known as distillation. Hence, option (D) is correct.

What is distillation?

A separation process called distillation is used to remove the solvent-containing liquid from a combination and retain the liquid portion. Boiling the solution and then cooling it causes the vapor to condense back into a liquid during distillation.

We can distil salt water to get pure water that is safe to drink. To accomplish this, take the following actions:

In a flask, the salt solution is put and heated until it boils.While the salt remains in the flask, the water gasifies.The condenser receives the steam. A layer of cold water surrounds the condenser, which is a tube. As a result, the steam cools and transforms back into a liquid.Pure water makes up the distillate.

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what is another name for a business name or manufacture's name

Answers

Answer:

brand name, or company

Explanation:

a brand name is  the kind of product they are selling. a company is the group of peaple that wok together.

Answer: maker or producer

Explanations:

How long can a flashlight run for if it draws 0.11 amps and its battery contains 10 coulombs of charge?

Answers

Answer:

Battery will run for t = 90 s

Explanation:

As we know that rate of flow of charge is known as electric current

So we will have

[tex]i = \frac{Q}{t}[/tex]

[tex]i = 0.11 A[/tex]

[tex]Q = 10 C[/tex]

now we have

[tex]t = \frac{Q}{i}[/tex]

[tex]t = \frac{10}{0.11}[/tex]

[tex]t = 90 s[/tex]

Final answer:

A flashlight that draws 0.11 amps can run for about 90.91 seconds on a battery with 10 coulombs of charge.

Explanation:

To calculate how long a flashlight can run with a given amount of charge, we use the relationship between current, charge, and time. Current (I) is the rate of flow of charge over time (Q), represented by the formula I = Q/t, where t is the time in seconds. Given the flashlight draws 0.11 amps (A) and the battery has a charge of 10 coulombs (C), we can rearrange the formula to solve for time: t = Q/I. Therefore, t = 10 C / 0.11 A, which equals approximately 90.91 seconds. Therefore, the flashlight can run for about 90.91 seconds on a battery with 10 coulombs of charge.

A force of 600 N is acting on a motorcycle that has a mass of 240 kg. What is the acceleration of the motorcycle?

Answers

Answer:

2.5m/s2

Explanation:

The following were obtained from the question:

F = 600N

M = 240 kg

a =?

Recall: F = Ma

a = F/M

a = 600/240

a = 2.5m/s2

Therefore, the acceleration of the motorcycle is 2.5m/s2

Answer:

Explanation:

force(f)=600N

Mass(m)=240kg

Acceleration(a)=?

Acceleration=force/mass

Acceleration=600/240

Acceleration=2.5m/s^2

A student pulls a 2.0-kg object to the left with a force of 30 N, while another student is pulling against the object in the opposite direction with a force of 20 N. What is the acceleration of the object?

5 m/s2, left

5 m/s2, right

20 m/s2, left

20 m/s2, right

Answers

Answer:

5 m/s2, left

Explanation:

We can solve the problem by applying Newton's second law of motion, which  states that:

[tex]\sum F=ma[/tex]

where:

[tex]\sum F[/tex] is the net force acting on an object

m is the mass of the object

a is its acceleration

In this problem, we have:

[tex]\sum F=30 N - 20 N = 10 N[/tex] (to the left) is the net force on the object

m = 2.0 kg is the mass

So, the acceleration is:

[tex]a=\frac{\sum F}{m}=\frac{10}{2.0}=5.0 m/s^2[/tex]

in the same direction as the force (left).

A block of mass 22 kg is sliding along the ice at constant speed 5.0 m/s. Just ahead of it is a block of mass 29 kg sliding in the
same direction at constant speed 4.6 m/s. When the two blocks collide, the 29-kg block travels at a new speed of 7.2 m/s. What is
the new speed of the 22-kg block?

Answers

The new speed of 22 kg block is 1.57 m/s

Explanation:

Given-

Mass, [tex]m_{1}[/tex]= 22 kg

speed, [tex]v_{1}[/tex] = 5 m/s

[tex]m_{2}[/tex] = 29 kg

[tex]v_{2i[/tex] = 4.6 m/s

New speed of [tex]m_{2}[/tex], [tex]v_{2f}[/tex] = 7.2 m/s

New speed of [tex]m_{1}[/tex], [tex]v_{1f}[/tex] = ?

This is the case of elastic collision.

So,

[tex]M_{1}[/tex] X  [tex]V_{1i}[/tex]+ [tex]M_{2}[/tex] X [tex]V_{2i}[/tex] = [tex]M_{1}[/tex] X [tex]V_{1f}[/tex] + [tex]M_{2}[/tex] X [tex]V_{2f}[/tex]

22 X 5 + 29 X 4.6 = 22 X[tex]V_{1f}[/tex] + 29 X 7.2

22 [tex]V_{1f}[/tex] + 208.8 = 243.4

22 [tex]V_{1f}[/tex]= 34.6

[tex]V_{1f}[/tex]= 1.57 m/s

Therefore, the new speed of 22 kg block is 1.57 m/s


A bee flies forward at 4.9m/s for 48s , lands on a flower and stays there for 28s , then flies back along its previous route at 5.1m/s for 38s . What is the total displacement of the bee? Round your answer to the nearest thousandth, if necessary.

Answers

"Displacement" is the distance and direction between the start-point and the end-point, regardless of the route taken on the way.

From this definition, it's easy to see that the bee's displacement at the end of the adventure is zero.

The bee's distance and average speed could also be calculated using the given information, but are not requested.

The total displacement of the bee is calculated by subtracting the return displacement from the forward displacement, resulting in a total displacement of 41.4 meters in the direction of the initial forward flight.

To calculate the total displacement of the bee, we need to consider the distance traveled in each direction and then sum these distances, taking into account the direction of travel. Initially, the bee flies forward at 4.9m/s for 48s, and then it returns along its previous route at 5.1m/s for 38s.

First, we calculate the forward displacement:
4.9m/s * 48s = 235.2m

Then, the return displacement:
5.1m/s * 38s = 193.8m

Since displacement is a vector quantity, we must consider the direction. The total displacement would be the forward displacement minus the return displacement because the bee returns along its previous route.

Total displacement = 235.2m - 193.8m = 41.4m

Therefore, the total displacement of the bee, rounded to the nearest thousandth if necessary, is 41.4m in the direction of the initial forward flight.

Calculate the amount of heat needed to melt 35.0 g of ice at 0 ºC.Express your answer in kilojoules

Answers

The amount of heat will be equal to Lm.

Where L is the latent heat of fusion and m is mass of the ice.

Latent heat of ice = 80cal/g.

So the amount of heat required here will be 35× 80cal

= 2,800 cal.

The amount of heat needed to melt 35 g of ice will be equal to 2,800 calories and in kilojoule is 11.7152 KJ.

What is heat?

Heat is energy that is transmitted from one object to another when temperatures are varied. When two bodies of various temperatures are brought together, energy is exchanged, or heat flows, from the hotter body to the colder. The result of this transfer of energy is typically, but not always, a warming of the colder body and a reduction in the temperature of the hotter body.

By migrating from one physical state (or phase) to the other, such as melting from a solid to a liquid, sublimation from the solid to a vapor, boiling from a fluid to a vapor, or shifting through one solid form to the other, a substance can absorb heat while increasing in temperature.

The latent heat of ice = 80cal/g.

So, the amount of heat required

= 35× 80cal

= 2,800 cal. Or,

2800 × 0.004184 = 11.7152 KJ.

Therefore, the amount of heat needed to melt the ice is 11.7152 KJ.

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when an object moves down and does not stop which force is acting more strongly on the object, friction or gravity? explain

Answers

Gravity acts more strongly on the object.

Explanation:

When an object is dropped from a height, it reaches the ground despite friction acting on it because the force of gravity acting on it is stronger than the air resistance and friction. Air resistance and friction acts upward and prevents the ball from falling. However, it is negligible. The gravity acting on the object is so strong that it pulls the object towards earth with a constant acceleration called as acceleration due to gravity which has a constant value of 9.8m/s².

what is speed in your own words

Answers

Answer:

speed is defined as distance travelled per unit time

Answer: Speed is the measure of how fast an object is moving.

Explanation: Speed is expressed as the ratio of the distance travelled per unit time.

An electromagnet is a
with a
core.

Answers

Answer:

An electromagnet is a magnet that runs on electricity. Unlike a permanent magnet, the strength of an electromagnet can easily be changed by changing the amount of electric current that flows through it. The poles of an electromagnet can even be reversed by reversing the flow of electricity.

Answer:

solenoid & metal

Explanation:

Other Questions
Can someone please write me 750 word personal narrative? I don't care what it is about. SOMEONE PLEASE HELP When and how did the United Kingdom get involved with war on terror with Iraq? An entrepreneur can best be characterized as someone who what is the theme of it's raining on the house of anne frank what is the amount of heat,in joules, required to increase the temperature of a 49.5-gram sample of wanted from 22c to 66c An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax? Show your work.a. solve the problem with the discount applied before the sales tax.b. solve the problem with the discount applied after the sales tax.c. compare your answers in parts (a) and (b). Explain 3. Which of the following would an animal breeder use to increase the number of cows that give themost milk?a. overproductionb. genetic isolationd. artificial selection 5. (20 pts) Consider the array 25, 14, 63, 29, 63, 47, 12, 21. Apply the Split procedure in Quicksort, as described in class, to this array using the first element as the pivot. It is necessary for the immune system to clearly distinguish foreign cells and proteins from those made by the body.(a) Explain why this is the case: Why do you think Linnaeus did not include classification kingdoms for categories of archaea and bacteria? WILL GIVE BRAINLIEST!!!Jack wants to determine the best-selling CD in his town. He surveys 30 shoppers as they leave the mall. What type of sampling is this? If a speaker says, "Tonight, I'm going to discuss with you two reasons why everyone should recycle, including cost-saving benefits and the problems waste creates in the environment," you recognize this as a(n) When considering the initiation of transcription, one often finds consensus sequences located in the region of the DNA where RNA polymerase(s) bind. Which are common consensus sequences in E. coli? a. any trinucleolide repeat b. satellie DNAs c. TTTTAAAAd. GGTTCe. TATAAT Which of the following expressions is equivalent to that expression?A.(n+4)^5B.(n+4)^1/5C.(n+4)^5/3D.(n+4)^3/5 Round 721295.198715 to the nearest ten. The evolution and later reliance on our ______ system has been suggested as the reason why humans use pheromones less than other mammals as sexual cues. A 20~\mu F20 F capacitor has previously charged up to contain a total charge of Q = 100~\mu CQ=100 C on it. The capacitor is then discharged by connecting it directly across a 100-k\Omega100k resistor. At what point in time after the resistor is connected will the capacitor have 13.5~\mu C13.5 C of charge remaining on it? 1 Mr. Chavez paid $14.32 total for 8 protein bars.If each protein bar cost the same amount, howmuch did one protein bar cost?A $1.69 C $1.79B $1.82 D $1.59 Imagine you derive the following expression by analyzing the physics of a particular system: a=gsinkgcos, where g=9.80meter/second2. Simplify the expression for a by pulling out the common factor.a.) a = g sin k g cos (no simplification should be performed on the expression in this situation)b.) a = g (sink cos)c.) a = (9.80meter/second^2)sin k (9.80 meter/second^2)cos Sand falls from a conveyor belt at a rate of 30 m3m3/min onto the top of a conical pile. The height of the pile is always 3535 of the base diameter. Answer the following. a.) How fast is the height changing when the pile is 2 m high?