A spherical balloon is being inflated and the radius of theballoon is increasing at a rate of 2 cm/s.(A) Express the radius (r) of the balloon as a function of thetime (t).(B) If V is the volume of the balloon as a function of theradius, find Vor and interpret it.

Answers

Answer 1

Answer:

A.) r = 2t

B.) V = 33.5t^3

Explanation:

Given that a spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s

A) Express the radius (r) of the balloon as a function of the time (t).

Since the rate = 2 cm/s that is,

Rate = radius/ time

Therefore,

2 = r/t

Make r the subject of formula

r = 2t

(B) If V is the volume of the balloon as a function of the radius, find V or and interpret it.

Let assume that the balloon is spherical. Volume of a sphere is;

V = 4/3πr^3

Substitute r = 2t into the formula

V = 4/3π(2t)^3

V = 4/3π × 8t^3

V = 32/3 × πt^3

V = 33.5t^3


Related Questions

A ball of moist clay falls 17.3 m to the ground. It is in contact with the ground for 24.0 ms before stopping. (a) What is the average acceleration of

Answers

Answer:

Acceleration,  [tex]767.08\ m/s^2[/tex]

Explanation:

Given that,

Height from a ball falls the ground, h = 17.3 m

It is in contact with the ground for 24.0 ms before stopping.

We need to find the average acceleration the ball during the time it is in contact with the ground.

Firstly, find the velocity when it reached the ground. So,

[tex]v^2=u^2+2ah[/tex]

u = initial velocity=0 m/s

a = acceleration=g

[tex]v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 17.3} \\\\v=18.41\ m/s[/tex]

It is in negative direction, u = -18.41 m/s

Let a is average acceleration of the ball. Consider, v = and u = -18.41 m/s.

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{0-18.41}{24\times 10^{-3}}\\\\a=767.08\ m/s^2[/tex]

So, the average acceleration of the ball during the time it is in contact is [tex]767.08\ m/s^2[/tex].

how can you separate salt from sand ​

Answers

dissolve salt in water then pour the liquid away from the sand and then evaporate the water to recover the salt

3.
In some countries, pedestrians attach reflective strips to their clothes or bags when they walk
outside during the night. Why do you think the pedestrians use these reflective strips?

Answers

Answer:

I think they use it at night because they want to avoid involving themselves in road accident while crossing the street. When there are reflective strips on their clothes, drivers do notice them even at far ends of the street since the strips will reflect the rays from the car lights to the driver,hence, the driver notifies that there is a pedestrian crossing and therefore slows down.

Kim took 5 hours to complete a journey with an average speed
of 80 km/h. For the first 3 hours, she travelled at an average
speed of 60 km/h. What was her average speed for the
remaining time of the journey?
km

Answers

Answer:110

Explanation:

What is science? Science is observable, testable, replicable, reliable and flexible.

Answers

Answer:

Yes, the answer to the question is correct

Answer:

Here's what I know, As scientist discovered that Science is the method of learning everything about the natural world.

but your answer is quite correct above(◕ᴗ◕✿)

Jon was happily riding his bike at a velocity of 12 m/s North, he soon realized he was late and increased his velocity to 24nm/s in the same direction in 6 seconds. What was his acceleration?

Answers

Answer:

2 m/s^2

Explanation:

acceleration formula: a=(v-v0)/t

a=(24-12)/6=2

16. Which of these provides most of the oxygen in Earth's
atmosphere?

coral reefs
rainforest plants
ocean phytoplankton
continental grasslands

Answers

Answer:

Ocean phytoplankton

Explanation:

The sea and ocean creates oxygen from the plants (sea creatures) that exist there. These plants generate oxygen when used as a-product of photosynthesis, a mechanism that transforms carbon dioxide through sunlight into carbohydrates that the body(plants) can use for nutrition.

New theories usually don’t start “from scratch.” For example, the modern model of the atom is the result of new information added to the cloud model. What is the main difference between the cloud model of the atom and the modern model? Group of answer choices Only the modern model includes protons. The cloud model does not include neutrons. Electrons move in specific orbits in the modern model. Electrons exist in a cloud around the nucleus in the cloud model.

Answers

Answer:

Electrons move in specific orbits in the modern model.

Explanation:

I'm still learning so, and D is not the answer.

The main difference between the cloud model of the atom and the modern model is that electrons exist in a cloud around the nucleus in the cloud model.

New theories usually don’t start “from scratch.” For example, the modern model of the atom is the result of new information added to the cloud model.

What is the main difference between the cloud model of the atom and the modern model?

Only the modern model includes protons. NO. Protons were discovered by Rutherford and are part of both models.The cloud model does not include neutrons. NO. Neutrons, discovered by Chadwick, are part of both models.Electrons move in specific orbits in the modern model. NO. Electrons in the modern model move in diffuse areas known as orbitals.Electrons exist in a cloud around the nucleus in the cloud model. YES.

The main difference between the cloud model of the atom and the modern model is that electrons exist in a cloud around the nucleus in the cloud model.

You can learn more about atomic models here: https://brainly.com/question/1596638

If a system is maintained at a pressure of 2 psi of vacuum, what is the pressure in psia (lbs per square inch absolute)

Answers

Answer:

The absolute pressure of the system is 12.7 psia.

Explanation:

Let suppose that system works at an atmospheric pressure of 14.7 psia, the absolute pressure is equal to the atmospheric pressure minus vaccum pressure, that is:

[tex]p_{abs} = p_{atm} - p_{vac}[/tex]

Where:

[tex]p_{abs}[/tex] - Absolute pressure, measured in pounds per square inch.

[tex]p_{atm}[/tex] - Atmospheric pressure, measured in pounds per square inch.

[tex]p_{vac}[/tex] - Vacuum pressure, measured in pounds per square inch.

Given that [tex]p_{atm} = 14.7\,psia[/tex] and [tex]p_{vac} = 2\,psia[/tex], the absolute pressure of the system is:

[tex]p_{abs} = 14.7\,psia-2\,psia[/tex]

[tex]p_{abs} = 12.7\,psia[/tex]

The absolute pressure of the system is 12.7 psia.

why are coal,nuclear,oil,and natural gas determined to be non-renewable types of energy resources ​

Answers

Answer:

Once used as a energy source they cannot be charged/used again.

Explanation:

Do you think all substances can change into a solid,liquid or gas?

Answers

Answer:In short yes in long

Explanation:yes all substances can exist in any of these three states. In addition to existing in one of the three states, matter can also undergo a change of state. A change of state occurs when matter is converted from one state to another state for example when a liquid is converted to a gas or a solid is converted to a liquid.

why is it wrong to say a single object all alone is moving

Answers

Answer:

It is wrong to say that "a single object all alone is moving" simply because it goes against Newton's law of inertia.

Explanation:

From Newton's law of inertia, it states that: An object at rest or in constant motion will continue in it's present state unless it is acted upon by an external force.

Which means that a single object by itself cannot move anywhere unless it is acted upon by an external force..

Thus, it is wrong to say that "a single object all alone is moving" simply because it goes against Newton's law of inertia.

What is 4.2 converted into grams

Answers

Explanation:

4.2 converted to grams equal 119.067997125

Really easy it's physics.

Answers

I think it’s B because we aren’t looking for Vf
B is the correct answer

Social science is a branch of science that deals with the nature of
A. human society
B. the physical world
C. animal societies
D. the medical field
Please select the best answer from the choices provided
А
B

Answers

The physical world animal society is part of the physical world human society is a part of the physical world the medical field really doesn’t have anything to do with social science

Select the correct equations that show that a freely falling rock drops a distance of 80 m when it falls from rest for 4 s .

Answers

Answer:

1 and 4

Explanation:

Within the nebula that was the start of our solar system, a shock wave from an exploding supernova triggered dust particles to be drawn together to form a dense spherical cloud. The accumulation of dust set off a chain reaction. As the core of the cloud attracted more dust, its gravitational pull increased. As this pull increased so did all BUT its

Answers

Answer:

B expansion  

Explanation:

In a cloud of gas and dust known as the solar nebula, the Sun and the planets jointly created 4.6 billion years ago. The solar nebula presumably collapsed as a result of a shock wave from a nearby supernova explosion. Thus, option A is correct.

What nebula that was the start of our solar system?

A nearby supernova explosion's shock wave is most likely what caused the solar nebula to collapse.The planets formed in a thin disk around the Sun, which formed in the centre of the solar system. Moons began to form similarly around the gas giant planets.

Every speck of stuff in the solar system was once a massive nebula, or floating interstellar cloud, before it was shaped into a tidy collection of planets.

Therefore, a shock wave from an exploding supernova triggered dust particles to be drawn together to form a dense spherical cloud.

Learn more about nebula here:

https://brainly.com/question/9497068

#SPJ2

Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.

Answers

Complete question is;

Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.

Why is Li able to avoid Raj’s tackle? Choose the best description.

A) Raj has more mass and therefore more inertia, so he can change his motion more easily than Li.

B) Raj has more mass and therefore less inertia, so he can change his motion more easily than Li.

C) Li has less mass and therefore more inertia, so he can change his motion more easily than Raj.

D) Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Answer:

Option D - Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

From Newton's first law of motion which is known as law of inertia, an object will remain at rest or continue in constant motion unless an external force acts upon it. This means that Inertia is simply the resistance of an object to any change in its state of rest or motion.

This means that the larger the mass of the object, the more resistance the object will have from an external force. Similarly, the smaller the object, the less resistance it will have from an external force.

Therefore, we can see that larger mass means larger resistance and in turn larger inertia while smaller mass denotes smaller resistance and in turn smaller inertia.

Now, from the question,Li weighs 125 pound and Raj weighs 175 pounds. So, Li has lesser mass than Raj, and so he also has less inertia. Thus, he can change his motion more easily than Raj due to that.

Answer:

Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

i did the test

A scientist views an unknown cell under a microscope. Which of the following observations would support the claim that it is a plant cell rather than an animal cell? Choose 1 answer: (Choice A) A It has a cell membrane. (Choice B) B It has chloroplasts. (Choice C) C It is round in shape. (Choice D) D It has a nucleus.

Answers

Answer:

Choice A. It has chloroplast

Plants have chloroplast and animals dont

Explanation:

It having chloroplasts is the observation which would support the claim that it is a plant cell rather than an animal cell.

What is a Chloroplast?

This is as organelle which produces the pigment known as chlorophyll and it is used during the process of photosynthesis.

Plants are known as primary producers and are involved in this process which is why option B was chosen.

Read more about Chloroplast here https://brainly.com/question/1741612

#SPJ9

What is the difference between centripetal force and centrifugal force???

Answers

Answer:

While centripetal force focuses towards the centre of a rotating path, the centrifugal force is just opposite to this, meaning it exerts a force to liberate a body from ...

Centripetal force is an inward force and centrifugal force is an outward force.

Centrifugal force is often referred to as inertial force or fictitious force.

More items...

Explanation:

Centripetal” is a word (apparently coined by Isaac Newton) meaning “center-pointing.”

“Centrifugal” means (roughly) “center-fleeing,” or pointing AWAY from the center (so, radially).

So the words simply refer to directions, and the “center” implies that the forces act in reference to motion in a circular path. Such motion is very common: in the case of a rotating rigid body (i.e., solid object), the motion can be described as a combination of (1) a movement through space of the center-of-mass plus (2) circular motion of all the particles in the body about an axis passing through the center of mass.

The net force on ANY mass moving in a circle at constant speed is a centripetal force. If the mass’s speed is changing along the circular path, there must be a tangential force in addition to the centripetal.

An example of a centrifugal force would be the force ON THE STRING when a stone tied to the string is whirled in a circle. The force on the stone is a centripetal force, and the third-law reaction force exerted on the string is a centrifugal force.

Three. Grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance

Answers

Complete question is;

Three grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance. Which statement can be known about the behavior of the atoms in each container?

A) The atoms in the solid would be moving vigorously around the container.

B) The atoms in the liquid would be vibrating in position.

C) The atoms in the solid would be vibrating in position.

D) The atoms in the gas would be moving slowly around the container.

Answer:

Option C - The atoms in the solid would be vibrating in position

Explanation:

Option A is wrong because the molecules in solids are held together by strong inter molecular forces and therefore can't move about freely but instead will vibrate in their position.

Option B is wrong because the atoms in liquid are more free than those in solids. Thus they will not have room to vibrate.

Option C is correct from the explanation from option A.

Option D is wrong because the atom of the gas would be very loose and free and would therefore be moving very fast around the container

Its c okay I was tryna help and u delete my question

A whale swims at a constant speed of 8m/s for 17s what distance did it travel

Answers

We have,

Speed = 8 m/s

Time = 17 seconds

Now,

Speed = Distance/Time

★ Substituting the values in the above formula,we get:

⇒ 8 = Distance/17

⇒ Distance = 8 × 17

⇒ Distance = 136 m

Hence,the distance covered by a whale is 136 m .

Which of the following is a characteristic of both scientific laws and theories? A. based on scientific evidence B. explain natural phenomena C. based on the opinions of scientists D. not subject to change

Answers

Answer:

A base on scientific event

Explanation:

theories can changeD

they dont explain unusual phenomenaB

Nothing is personal in scienceC

Which transformation of energy occurs when a fan is turned on and the blades start to rotate?

Answers

Answer:

kinetic energy

Explanation:

A wind turbine transforms the mechanical energy of wind into electrical energy. A turbine takes the kinetic energy of a moving fluid, air in this case, and converts it to a rotary motion. As wind moves past the blades of a wind turbine, it moves or rotates the blades. These blades turn a generator


Determine the mass of the object below to the correct degree of precision.

272.83 g

272.9 g

272.90 g

272.94 g

Answers

Answer : The correct degree of precision is 272.94 g.

Explanation :

Precision : It is defined as the closeness of two or more measurements to each other.

For Example: If you weigh a given substance five times and you get 2.7 kg each time. Then the measurement is said to be precise.

Level of precision is determined by the maximum number of decimal places.

In the given figure, the value of mass of object is 280 g. From the given options we conclude that the 272.94 g is more close to 280 g and has maximum number of decimal places. So, 272.94 g measurement is said to be precise.

Therefore, the correct degree of precision is 272.94 g.

Use the drop-down menus to complete each sentence.


The force applied to the physics cart is manipulated

Answers

Answer:b

Explanation:

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2. What is the distance between them once they stop (express your answer to the two significant figures)

Answers

Answer:

48 m

Explanation:

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2.

The eastbound train

First convert km/h to m/s

(97 × 1000)/3600

97000/3600

26.944444 m/s

As the train is decelerating, final velocity V = 0 and acceleration a will be negative. Using third equation of motion

V^2 = U^2 - 2as

O = 26.944^2 - 2 × 3.5 S

726 = 7S

S = 726/7

S1 = 103.7 m

The westbound train

Convert km/h to m/s

(127×1000)/3600

127000/3600

35.2778 m/s

Using third equation of motion

V^2 = U^2 - 2as

0 = 35.2778^2 - 2 × 4.2 × S

1244.52 = 8.4S

S = 1244.52/8.4

S2 = 148.2 m

S1 + S2 = 103.7 + 148.2 = 251.86

The distance between them once they stop will be

300 - 251.86 = 48.14 m

Therefore, the distance between them once they stop is 48 metres approximately.

The purpose of the sport called flight archery is to shoot an arrow the greatest possible distance. One of the greatest distances achieved in flight archery is 624 m. What would this distance be in centimeters?

Answers

Answer:

62400 cm

Explanation:

1 m = 100 cm

624m = 62 400 cm

WILL GIVE BRAINLIEST AND A THANKS TO FIRST CORRECT ANSWER!!!!
Which statements describe processes involved in the accretion of planetesimals and protoplanets? Check all that apply.
Both involve the melting of solid materials in the nebula.
Both involve the formation of solid particles from nebular materials.
Both involve the work of the gravitational push on nebular materials.
Both involve the trapping of gases and the clumping of masses of matter.
Both involve the growing of gas grains with the addition of atoms and molecules.

Answers

Answer: the answers are

(2)Both involve the formation of solid particles from nebular materials

And

(4)Both involve the trapping of gases and the clumping of masses of matter

Explanation:

a person runs 27.0km west then turns around and runs 13.0km east what's the distance and displacement ?

Answers

Answer:

See below

Explanation:

Distance = 27 + 13 = 40 km

Displacement = 27 - 13 = 14 km

Other Questions
choose:So far, this year the students ...... very wella.have doneb.had donec.didd.worked 43% of 300 is what number A store purchased an emerald pendant and marked it up 100% from the original cost of$465. A week later, the store placed the emerald pendant on sale for 20% off. What was thediscount price? black panther ran 567.6km to the east 2.3 hours then turned around and ran 221.8km to the west in 1.2 hours. what was his average velocity during the trip in km/h? 1. Which statement best describes the main conflict in the story?AMaya needs permission to go to a school dance.BMaya's brother is being bullied at school.CMaya's family is struggling to earn enough money to live.DMaya has to d Name the five parts of plot. Identify the converse of the conditional statement below. If it is a shirt, then it has sleeves. Sleeves are found on shirts. O Shirts have sleeves. If it is a shirt, then it does not have sleeves. If it has sleeves, then it is a shirt. What would it take for Americans today to favor a greater reliance on nuclear power as a source of electricity 3x-2 is less than or equal to -20 North America has abundant __________, untapped resources and forests that cover _____ the land with over _____ billion trees. Which number is the smallest? 4.4 105, 3.99 106, 2.6 102, 1.85 103 If I was an American colonist in 1775 when fighting broke out between the British army and the milita groups around Boston why would not agree with the patriots or loyalist why?view point towards the revolutionary war because... how to increase current Please help if you can. Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain. The complement of an angle is 10 less than 4 times the angle itself. What is the measure of the angle and its complement? Please help is due in 15mins National independence, personal liberty, and individualism. In your opinion, how does the literature of this period influence future generations of American literature? select the five basic requirements necessary to establish a government Describe how you would graph a figure that is translated by (x - 4, y + 2). In ABC, Cos A = 4/5, cosB = 3/5then a:b:c is