Answer:
The expression written for the momenum of a body is dimensionally incorrect.
Explanation:
P = momentum, m = mass, E = Energy & t = time Now, we know: Dimensional formula of momentum (p) = [MLT-1] Dimensional formula of mass (m) = [M] Dimensional formula of Energy (E) = [ML2T-2] Dimensional formula of time (t) = [T] Here, Dimensional formula of LHS = [MLT-1] And, Dimensional formula of RHS = 2/M212T-21 [T] -=√2 M²LT 3]=[MLT/2] [2 is constant] 2[M] [MLT-21 [T] Since the dimensional formula of LHS # dimensional formula of RHS. [MILT-1] [MLT-3/2] hence the given relation is dimensionly incorrect
14) A race car accelerates from rest to a velocity of 41 m/s in 480 m. What is the acceleration of the race car?
Answer:
Explanation:
V₀ = 0 m/s
V = 41 m/s
S = 480 m
___________
a - ?
Distance traveled:
S = (V² - V₀²) / (2*a)
Acceleration :
a = (V² - V₀²) / (2*S)
a = (41² - 0²) / (2*480) = 1.75 m/s²
a truck moves northeast covering 4 kilometer and then turns northwest covering 3 kilomètres. calculate the magnitude and direction of these journey.
The magnitude is 5km and the direction of the truck is 53.13° from his starting point to current position.
What is the term magnitude?The maximum size and direction of an object are referred to as the object's magnitude in physics. Vector and scalar quantities both use magnitude as a common denominator.
Scalar quantities are understood to be those that have only magnitude, according to their definition. Vector quantities, on the other hand, are those that have both magnitude and direction.
A truck moves northeast covering 4 kilometre and then turns northwest covering 3 kilometres which makes the turn a 90°
Let the magnitude of displacement be c then
⇒ c² = a² + b² (Pythagoras theorem)
⇒ c = √(a² + b²)
= √(4² + 3²)
= √(25)
= 5 km
The magnitude is 5km
The direction of the truck will be given by
⇒ tan⁻¹(a/b)
⇒ tan⁻¹(4/3) = 53.13°
Thus, The direction of the truck is 53.13° from his starting point to current position
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True or false? A well-oiled machine has no friction. Explain your answer.
Answer:
False
Explanation:
A well-oiled machine has oil because there is friction. The oil lessens the friction and also allows the machine to operate and function without wear parts heating up. Oil is a cooling lubricant that decreases friction but does not eliminate it.
On turning a corner, a motorist rushing at 44 ms-1 finds a child on the road 100 m ahead. He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it.
Answer:
He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it. (Ans. 4.5 s]
A 375-pound concrete cylinder has a base area of 144 square inches. with the cylinder resting on its base, the pressure exerted by the concrete cylinder is greater than sea level pressure (i.e., 14.7 psi). the formula for pressure is:
The pressure exerted by the concrete cylinder is 2.60 pound/in².
We need to know about the pressure to solve this problem. Pressure is a unit that describes how much force is applied to a surface area. It can be determined as
P = F / A
where P is pressure, F is force and A is area.
From the question above, we know that
F = 375 pound
A = 144 in²
By substituting the given parameters, we can calculate the pressure
P = F / A
P = 375 / 144
P = 2.60 pound/in²
Thus, the pressure should be 2.60 pound/in².
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2. If you had 4.0 grams of oxygen gas, how many total molecules of
this gas would you have?
Answer:
7.52 × 1022 molecules
Explanation:
We know 32g of oxygen contains 6.022 × 1023 molecules. Therefore, 4g of oxygen have 7.52 × 1022 molecules. ( im not sure if its correct tho)
A force of 20 N is applied to extend a horizontal spring by 5 cm. What is the spring constant?
a. 0.25 N/cm
b. 25 N/cm
c. 100 N/cm
d. 4 N/cm
A force of 20 N is applied to increase the horizontal spring by 5 cm: 4N/cm.
This is explained :Given a series spring: F = 20 N x = 0,5m
Using Hooke's Law: F = good x well=Fx=20/zero.
In physics, force is a force that can change the motion of an object. A force can cause an object with mass to speed up or accelerate. Pressure can also be defined intuitively as pushing or pulling.
Force is a vector quantity because it has both a value and a path. In technical know-how, the word "strength" has a special meaning. At this level, it is quite appropriate to describe pressure as pushing or pulling. Pressure does not always consist of or "have" objects. Pressure is applied to one element by one another. The concept of force is not always limited to living or inanimate objects.
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the final velocity of a truck that is initially traveling at 10 m/s and travels 500m over
the course of 13 seconds
Answer:
123.75 m/s
Explanation:
Given:
Initial velocity (u) = 10 m/sDistance travelled(S) = 500 mTime(t) = 13 sTo Find:
Final velocity,ie, v.Formula used:
S = ut + at^2/2where,
S is distance travelled
u is initial velocity
v is final velocity
t is time taken
v = u + atwhere,
v is final velocity and rest meaning is written above.
Let the acceleration of truck be a
Using the above formula, we get
500 = 10*13 + a(13)^2/2
370 = 169a/4
a = 8.75 m/s^2
So, Putting value of a in v = u + at, we get
v = 10 + 8.75*13
v = 123.75 m/s
So, the final velocity will be 123.75 m/s.
Answer:
this is an amazing question
a receiver in a football game is standing still, having just caught a pass. before he can move, a tackler, running at a velocity of 4.2 m/s, grabs him. the tackler holds onto the receiver, and the two move off together with a velocity of 3 m/s. the mass of the tackler is 120 kg. assuming that momentum is conserved, find the mass of the receiver.
The mass of the receiver is 103.261 kg.
Assume that m is the receiver's mass.
Prior momentum =(125*4.2)-m*0
After =2.3(125+m) momentum
525=287.5+2.3m
m=237.5/3.3
m=103.261kg
So, the mass of the receiver is 103.261kg.
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If you were going to rewrite or add a heading for a section in this article, what heading would you write and why? If you cannot find one you would rewrite, pick a heading and explain why you think it is a good choice for that section.
Article:
Mini-Bottles Gain Popularity
For years, people have debated whether Coke is responsible for making Americans fatter. As that debate heated up seven years ago, Coke decided to sell soda in smaller bottles and cans. The mini-cans and bottles were a hit for Coke. Mini-bottle sales have grown over the last three years and increased 15 percent in just the first five months of 2015.
The mini-cans of Coke are so popular that they now compete with 12-ounce cans and 2-liter bottles for grocery shelf space. Originally, the company only made smaller versions of Coke and Diet Coke. Now, several different soda brands owned by Coca-Cola come in small bottles, including Sprite, Fanta Orange soda and Seagram's Ginger Ale.
Sandy Douglas is president of the North America division of Coke. He says the mini-cans are making the company a lot of money.
A regular 12-ounce can of Coke, for instance, sells on average for 31 cents. A 7.5-ounce mini sells for 40 cents. Even though the mini-cans have less soda, they cost more than a regular can, Douglas said.
Owners of shares in the Coca-Cola company are no doubt impressed. The plan to sell Coke in mini-cans and bottles has helped the company's stock price soar for the last seven years. But not everyone thinks this is a good thing.
Less Coke, Less Damage
Michael Jacobson is president of a health advocacy group. He says the smaller bottles do carry fewer health risks. They are less likely to give consumers tooth decay or diabetes.
Still, he worries that some people who do not drink sodas may want to try the mini-can because of its size.
"I don't know how this is going to shake out, but we should know soon as the popularity increases," he said. He urged Coke and its rival, Pepsi, to reduce other soda sizes, including the 2-liter bottle and 12-ounce can.
For the past 10 years, sodas have become less and less popular in North America. Americans, given more choices in teas, coffee and water, have pulled back on drinking sodas.
A poll last year found that more than half of adults avoided all types of soft drinks. Even Diet Coke, which has fewer calories than regular Coke, is becoming less popular.
Many cities are concerned about the effects of soda on people's health. They have tried to get soda companies to pay higher taxes or provide smaller portions.
Last year, many people were upset with Coke. Newspapers reported that the company was paying a group of scientists at a university. The scientists said the reason Americans were getting fatter was because they did not exercise enough, not because they drank too much soda.
Coke cut ties to the group and the organization later shut down.
People Don't Mind Spending More For The Right Size
Through its mini-cans, Coke has found a way to make money even though fewer people drink soda.
People are willing to pay more for smaller bottles. They are more convenient and let you control how much you consume, said Duane Stanford, who works at a soft drink magazine.
The mini-cans can also bring back consumers who see soft drinks as a treat, Stanford said.
The mini-bottles have changed the way Coke calculates its business, though slowly. The company still measures the amount of soda it sells in volume. The volume of soft drinks that the company sold in North America at the end of last year grew 2 percent.
But because of the mini-bottles, it is now reporting the amount of money it makes per purchase.
"The past focus of both our company and the industry was how many gallons were sold," Douglas said. "That's not a good approach for anticipating and meeting consumer needs in a world exploding with choices."
Douglas said mini-cans and bottles are popular with all people, but especially upper-income consumers and mothers.
"Moms want to treat their kids, but they don't want them to have too much," he said. "They want to be in control, and these packages give them control."
An apt header for the second paragraph is "The popularity of Mini-Cans of Coke" See the explanation below.
What is a header in writing?A heading is a word, phrase, or sentence that appears at the beginning of a written paragraph and describes what it is about. A header and a title are extremely similar. A heading is similar to a caption in that it is a line below an image that quickly describes it.
To select the right header, one must know what the central idea of the section is.
The key concept is the tale's central, unifying theme, which connects all of the other parts of fiction employed by the author to create the story. The primary notion is best defined as the story's prevailing impression or the universal, general truth.
Hence, besides communicating the central idea of the section, headers also make it easy to quickly locate the right information from a text. It is therefore useful for skimming.
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The volume of a piece of wood (which floats in water) can be measured as shown. Write a brier paragraph to describe the procedure. State the volume of the wood.
It is possible to determine an object's volume by making it forcibly sink. The item is attached to another easily sinkable object for this purpose.
The volume of the floating item may be calculated since it will sink in the water.
How do you calculate the volume of a piece of wood, an irregular solid that floats on water?Weighing down a floating item with a heavy object is one way to calculate its volume. It's crucial to gauge the water's depth with the heavy object submerged first, and then with the heavy object pulling the floating object down into the water.
When the weight force on an object is countered by the water's upward push, the thing floats. The amount of the object submerged increases the water's upward push, which is unaffected by the water's depth.
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If two charged objects have a 125 N force between them when they are 3.00 m apart, what force exists between them when they are 15.0 m apart?
Answer:
I think it's 5.00 N
Explanation:
As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 90 m long and has a speed of 2.1 m/s relative to the ground
.If it takes you 70 s to cover 90 m when walking on the ground, how long will it take you to cover the same distance on the walkway? Assume that you walk with the same speed on the walkway as you do on the ground.
The time taken for you to cover the same distance on the walkway is 26.6 seconds.
What is relative velocity?
The relative velocity of an object in motion is defined as the velocity of an object with respect to another observer.
The time taken for you to travel the same distance on the walkway with the given speed is calculated as follows;
Assuming you in the same direction as the walkway;
(Va + Vb)t = d
where;
Va is the speed of the walkwayVb is the your on the groundt is the time taken for you to travel the distanced is the distance of the walkwayYour speed on the ground is calculated as follows;
Vb = 90 m / 70 s
Vb = 1.286 m/s
Substitute the given parameters and solve for the time taken,
(2.1 m/s + 1.286 m/s)t = 90
(3.386)t = 90
t = 90/3.386
t = 26.6 seconds
Thus, we can conclude that if you maintain your speed on ground, it will take less time to travel the walkway.
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whichof the followings unit is not a fundamental S I Unit (A) Meter (b) Ampere (c) Kelvin (d)second(E) Radian
Answer:
Option E
Explanation:
Option E, ie, Radian is not consider to be a fundamental quantity unit and it is used to measure the plane angle.
Seven Fundamental units are:
MetreSecondsKilogramAmpereKelvinCandelaMoleDesign an experiment that will enable you to measure the force needed to be applied to cut into different materials with different shapes.
Various shapes are predetermined as then the student tries to cut them. As the shapes are cut, the magnitude of force required is measured.
What is the force?The term force is defined as that which causes an object to move or to change its direction. A force is typically a push or a pull. We could measure the applied force by the use of a Dynamometer .
In this case, we could determine the various shapes that we want to cut and then try to cut them. As we are cutting the shapes, we could now use the Dynamometer to determine the force applied.
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why doesn't a heavy object accelerate more than a light object when both are freely falling? why doesn't a heavy object accelerate more than a light object when both are freely falling? the ratio of the weight to mass is the same for all objects in the same locality. the inertia of the heavy object equals the inertia of the lighter object, so their accelerations are the same. the inertia of the heavy object is just enough smaller than the inertia of the lighter object to counteract the larger gravity force. the larger air resistance force on the larger object makes it fall with the same acceleration.
The reason for this is that at a specific area, the acceleration brought on by gravity is constant. Lighter items are not accelerated more slowly by gravity than heavy ones.
The following are possible gravity values for the gravitational force between the earth (mass M) and an object of mass m:
F = GMm/r2 with r being the separation.
Now form Newton's second law,
F = ma where a is the acceleration.
Equating the two, ma= GMm/r2
a= GM/r2
This demonstrates that the mass m of the object being propelled is independent of the acceleration caused by gravity for some object (the mass M).
Additionally, the earth's gravitational pull causes free fall. This explains why there is a constant acceleration from gravity.
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A bullet of mass 0.03 kg is fired from a rifle of mass 2kg,
which recoils with a velocity of 25.5m/s.
What is the velocity of the bullet?
Explanation:
equating the formula for the bullet and riffle
an anemometer is a device used to measure the speed of the wind. as the wind speed increases, its arms rotate faster and this rotation is measured electronically. suppose a relatively steady breeze is blowing.
A tool used to gauge wind direction and speed is an anemometer. It is a typical piece of weather station equipment. Any instrument used to measure wind speed in meteorology is referred to by this name, which is derived from the Greek word anemos.
Vane anemometers, thermal anemometers, thermal anemometers with velocity/temperature profiling, and cup anemometers are the four most widely used anemometer types.
The majority of the time, anemometers are categorized as constant-temperature or constant-power anemometers.
To calculate wind speed is as follows: Anemometer factor x instantaneous shaft speed equals instantaneous wind speed.
Average Wind Speed is calculated as follows: Anemometer Factor x (Time / Turns)
The force that the wind applies to a structure (or, really, any object) is known as wind pressure. The anemometer's cups rotate as the wind blows, spinning the centre rod. The rod spins more quickly the stronger the wind blows. The anemometer measures the revolutions, or turns, from which wind speed is determined.
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What is leptin released by and how would you predict the levels of leptin to be in nicole when compared to a healthy, female adult of similar age and weight?.
Leptin is released by adipocytes, and I predict that the levels of leptin would be decreased in Nicole when compared to a healthy, female adult of similar age and weight.
The body regulates itself in two ways, neural signals and hormones. Hormones are chemical messengers released by endocrine glands into the blood stream that carry out a particular function in the body. The hormone that regulates appetite and body weight is leptin.
Leptin is released by fat storing cells in the body called adipocytes. The word 'leptin' comes from a Greek word 'leptos' meaning 'fat controller', perfectly fitting its function. Since leptin is stored in the fat tissues, a person's weight has a direct effect on the levels of leptin in a person. When we lose weight, the amount of leptin circulating in the body decreases, leading to more appetite and weight gain.
A lack of leptin in the body, arising from genetic diseases results in uncontrolled appetite and obesity. Generally, female adults also produce less leptin than male adults
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Simple Machines
Which pulley would require the least
amount of force to lift the weight?
R. Pulley A
S. Pulley B
T. Pulley C
V. They all require the same amount
of force.
A B C
Q4
According to the given figures pulley B requires the least
amount of force to lift the weight .
What are pullies?In order to move and change the direction of a taut cable or belt, or to transfer power between the shaft and cable or belt, a pulley is a wheel on an axle or shaft. an object that can be lifted or lowered by pulling a chain, rope, or belt across a wheel.
In order to work, elevators require numerous pulleys. A pulley system is a cargo lift device that enables lifting of cargo to higher floors. In wells, the bucket is lifted out of the well using a pulley system. several different Compound, moveable, and fixed pulleys are the three basic categories. Wheel and axle on a fixed pulley are fixed.
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Build your paper cup telephone system?
To Build your paper cup telephone system do the following:
Two cups, some inelastic string, thread, or fishing line, two paper clips, and a pencil or sewing needle are needed to make a paper cup phone.
Use a pencil or sewing needle to make a hole in the bottom of each cup, then thread a string through each hole to make a paper cup phone.
To keep the thread from coming away from the cups, secure each end with a paper clip. One person should speak into one cup, and you should listen through the other.
Pull the string taut. With the cups, you can talk to someone up to 100 feet away.
A string phone functions quite similarly to a landline. Talking into the cup causes the bottom to vibrate as sound waves are transmitted within the cup by your voice.
The other cup's bottom receives the vibrations that are transmitted to the string, across it, and into it. The second cup vibrates as a result of the sound waves transmitting your voice's audio.
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A red ball moves horizontally in a 30-meter long tube. The position of the ball on meters over time is shown in the attached position vs. time graph.
What is the displacement of the red ball between 12 seconds and 24 seconds?
What is the distance traveled by the red ball between 12 seconds and 24 seconds?
Given that a red ball goes horizontally inside of a tube that is 30 metres long.
The distance travelled in a certain direction is known as displacement.
The movement is in a certain direction because it is horizontal.
The displacement will be the horizontal distance travelled, which is 30 metres, during the allotted time.
What is the distinction between displacement and distance?Distance is the total distance along the route between any two places. Displacement is the direct distance between any two places when calculated via their shortest route. The direction is not taken into account while calculating distance. The direction is taken into account while calculating displacement.
Clarify the difference between distance and displacement. Distance refers to the measurement of "how much ground an item has covered during its motion," whereas displacement refers to the measurement of "how far out of place is an object."
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a powerful motorcycle can produce an acceleration of 3.25 m/s2 while traveling at 75 km/h. at that speed the forces resisting motion, including friction and air resistance, total 650 n. (air resistance is analogous to air friction. it always opposes the motion of an object.) what force does the motorcycle exert backward on the ground to produce its acceleration if the mass of the motorcycle with rider is 185 kg?
The force motorcycle exert backward on the ground to produce its acceleration is 1251.25 N, if the mass of the motorcycle with rider is 185 kg.
Acceleration = 3.25 m/s^2
Resisting force Fr = 650 n
mass of rider = 185 kg
To find the force exerted backwards [tex]F_{b}[/tex]
[tex]F_{b}[/tex] = Fr +Ma
[tex]F_{b}[/tex] = 650 + (184)(3.25)
[tex]F_{b}[/tex] = 1251.25 N
The force motorcycle exert backward on the ground to produce its acceleration is 1251.25 N.
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If I throw a ball off of a 1,000m cliff, how long will it take to hit the ground?
The time taken by the ball to hit the ground will be 14.28 seconds.
Using Newton’s laws of motion, we have
H= (1/2)gt^2. Using H= 1000m
1000= (1/2) x 9.8 x t^2
Hence, t= square root of 2000/9.8 = 14.28 seconds (approx.)
What is gravity?The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.
The acceleration of gravity near Earth's surface is approximately 9.81 m/s2 (32.2 ft/s2) when air resistance is disregarded, which means that the rate of an object falling freely will increase by 9.81 m (32.2 ft) per second each second.
The gravity is zero at infinite height.
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to measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. if the paddle wheel has radius 0.40 m and rotates at 100 rpm, find the speed of the current in m/s.
The speed of the current in m/s for a paddle wheel with a radius 0.40m and rotates at 100rpm is 41.88.
The linear velocity v and angular velocity w (in radians per unit time) are related by:
where r is the radius.
First, we convert the angular velocity to rad/s:
w = 100rev/100 * 2πrad/1rev * 1min/60s = (100π/3) rad/s
Substitute r = 0.40m and w = (100π/3) rad/s
v = 0.40 (100π/3)
v = 41.88/s
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the potential at a point due to a unit positve charge is found to be v. if the distance between the charge and the point is tripled, the potential becomes
The potential at a point due to a unit positive charge is found to be V. if the distance between the charge and the point is tripled, the potential becomes V/3.(that is (⅓)rd of original potential energy.)
The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field. More precisely, it is the energy per unit charge for a test charge that is so small that the disturbance of the field under consideration is negligible.
Potential Energy at a point due to a charge is inversely proportional to Distance.
At first we consider that at r distance the potential is v, and r' distance the potential will be v/v' =r'/r
BY USING THIS-
v/v' =r'/r
As, r'=3r,
9/v'=3r/r
THEN, Potential Energy —>
V'=V/3
SO, IF the potential at a point due to a unit positive charge is found to be V. if the distance between the charge and the point is tripled, the potential becomes V/3.(that is (⅓)rd of original potential energy.)
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In three to five sentences, explain why ships or boats float.
Inside a ship, the air is significantly less dense than the ocean. That keeps it afloat, actually! ... When a ship is lowered into water, the amount of water it pushes down and moves is equal to its weight.
Substances that move to the stronger parts of a magnetic field are termed ______ substances; the atomic feature responsible for this property is ______ in atoms.
Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
What is a paramagnetic substance?A paramagnetic substance is the substance that possess unpaired electrons that are heavily attracted in a magnetic field.
A magnetic field is defined as the field that exists around a magnet that produces a field of force.
Examples of paramagnetic substance include the following:
aluminum, gold, copper.Chromium, andManganese.These substances are known as paramagnetic substances because they possess a high number of unpaired electrons.
Other properties of a paramagnetic substance include the following:
They have a permanent dipole moment or permanent magnetic moment.They are weakly magnetized in the direction of the magnetizing field.They usually have constant relative permeability (μr) slightly greater than 1.Therefore, Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
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A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce
a(n) _____.
electric current
electric field
electrostatic induction
coulomb of electricity
A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce an electric current. Option A.
A Van de Graaff generator is an electrostatic generator that uses a moving belt to store charge in hollow metal spheres on insulating posts, producing very high potentials. Produces direct current (DC) at low currents and very high voltages.
Van de Graaff generator the motor turns silicone rollers to move rubber bands. As the belt moves, electrons are transferred from the rubber belt to the silicone roller charging the belt positively and the roller negatively. Van de Graaff generators extract electrons from the Earth move them along belts and store them in large spheres. These electrons repel each other and try to separate as much as possible by spreading over the surface of the sphere.
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The nebular hypothesis describes what happens when a cloud collapses into a star system. Where does the majority of the angular momentum of the original cloud go?.
The nebular hypothesis describes that when a cloud collapses into a star system a new star is forming inside this glowing cloud of gas.
What do you mean by nebular hypothesis?
The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into a protoplanetary disc and developed into a solar system made up of a star and circling planets.
The Sun originated independently from a collapsing cloud of gas and dust, and as the planets passed by it later, they were gravitationally pulled in.
Individual stars and their planets develop from the revolving clouds' flattening into protostellar discs.
Most of the angular momentum is transmitted into the residual accretion disc through an unidentified mechanism that is thought to be related to the powerful magnetic fields associated with a newborn star.
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