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.

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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."

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 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 spring constant of Hooke's Law is 2160 MN/m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The potential energy of spring can be determined as

PE = 1/2 . k . x²

where PE is potential energy

From the question above, we know that

PE = 70 J

x = 0.18 mm = 0.00018 m

By substituting the given parameters, we can calculate the total paralel spring constant

PE = 1/2 . k . x²

70 = 1/2 . kp . 0.00018²

kp = 4320987654 N/m

Find each spring constant

kp = k + k

4320987654 = 2k

k = 2160 MN/m

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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.)

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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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:

The average speed of a body traveling on a road is 6.5 km/h.

What speed is typical? The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed refers to the pace that a vehicle travels at on average throughout a trip.

Meter per second is the S.I. unit of speed. In km/h, speed is also expressed.

Average Speed is calculated as Total Distance x Total Time.

The average speed of a body traveling on a road is 6.5 km/h.

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The engine's efficiency of the carnot engine is 31%.

The work done per cycle in kilojoules is 16kj.

Using the data supplied above,

Heat absorbed by the engine = 52 kJ

Heat exhausted by the engine in each cycle = 36 kJ

We need to find the efficiency of the engine. It is calculated by the formula.

η = 1 - output/input

Where,

η = Heat Engine Efficiency

Output = 36

Input = 52

η = 36/52

η = 1 - 0.69

η = 0.31

Convert to percentage

η = 31%

b) The work done per cycle in kilojoules

To find the work done per cycle:

W = heat extracted - heat exhausted

W = 52 -36

W = 16

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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.

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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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.

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:

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:

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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The nebular hypothesis describes that when a cloud collapses into a star system a new star is forming inside this glowing cloud of gas.

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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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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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)

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.

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.

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

C. If a car has a westward acceleration, the car moving east and slowing down.

Westward acceleration is the acceleration of an object directed towards the west of the object's motion.

The acceleration of an object is defined as the change in the velocity of an object with time.

Mathematically, the acceleration of an object is given as;

a = Δv/Δt

where;

a = (v - u) /t

where;

When the car is slowing down, it implies that the final velocity is smaller compared to the initial velocity.

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The mass of the ammonia is equal to 0.215 kilograms.

First of all, we would have to determine the volume of the metal sphere which is half-filled with ammonia. Mathematically, the volume of a sphere can be calculated by using this formula:

Volume = 4/3 × πr³

Where:

r represents the radius.

Substituting the given parameters into the formula, we have;

Volume of metal sphere = 4/3 × 3 × 0.5³

Volume of metal sphere = 4/3 × 3 × 0.125

Volume of metal sphere = 4 × 0.125

Volume of metal sphere = 0.5 cubic meter.

For the volume of ammonia, we have:

Volume of ammonia = 0.5/2

Volume of ammonia = 0.25 cubic meter.

Mathematically, the mass of a substance can be calculated by using this formula:

Mass = Density × Volume

Mass = 0.86 × 0.25

Mass = 0.215 kilograms.

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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.

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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Explanation:

equating the formula for the bullet and riffle

The rain's speed relative to the car is Vrc = 89.28 km/h.

Given that the car is moving eastward and that raindrops are falling vertically with respect to the Earth at a constant speed,

Let us consider the x-axis in the East and n-axis in the vertically upward direction. Now the x component of the car velocity relative to the earth is

Vceₓ = 122 km/h

Vceₓ = 33.89 m/s

n component of the car velocity relative to the earth is

Vceₙ = 0 m/s

x component of the raindrops velocity relative to the earth is

Vreₓ = 0 cos45°m/s

Vreₓ = - 3.68 m/s

n component of the raindrops velocity relative to the earth is

Vreₙ = ?

calculate the drop's velocity in relation to the earth

tanθ = Vreₙ / Vreₓ

Vreₙ = Vreₓ x tanθ

Vreₙ = 33.89 m/s x tan60°

Vreₙ = 58.69 m/s

Vreₙ = -211.28 km/h

And hence, the rain's speed relative to the car is

Vrc = Vce + Vre

Vrc = 122km/h - 211.28 km/h

Vrc = 89.28 km/h

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The magnitude is 5km and the direction of the truck is 53.13° from his starting point to current position.

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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The person's average power when he uses an energy equivalent to 50 bbl of crude oil in one year is 3.49×10⁴ kW.

Average power can be defined as the total work performed to the total time it takes to perform the work.

To calculate the average power consumption of the person, we use the formula below.

Formula:

P = E/t............ Equation 1

Where:

From the question,Given:

E = 50×6.12×10⁹ J = 3.06×10¹¹ J

t = 1 year = (365×24) days = 8760 seconds

P = 3.06×10¹¹/8760

P = 3.49×10⁴ kW

Hence, the average power is 3.49×10⁴ kW.

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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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The change in the energy of the water in the process is 52Btu, when 65 btu of heat is transferred to the water and heat losses from side walls.

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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]

Answer:

123.75 m/s

Explanation:

Given:

To Find:

Formula used:

where,

S is distance travelled

u is initial velocity

v is final velocity

t is time taken

where,

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

The object's speed reaches a maximum value and stays there if you drop it and it falls far enough for this to occur.

The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time.  An object's average speed during a period of time is calculated by dividing its distance traveled by the length of the interval, the instantaneous speed is the maximum possible speed as the interval's duration gets closer to zero. Velocity and speed are different concepts.

Distance divided by time is the dimension of speed. Although the meter per second (m/s), the SI measure of speed, is the most often used unit of speed.

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The time taken for you to cover the same distance on the walkway is 26.6 seconds.

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;

Your 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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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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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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