Suppose that a small french bulldog grows isometrically. If its surface area increases by a factor of 3, by what factor does its volume increase by?

Answers

Answer 1

Here's the handy factoid I always carry around in my toolbox:

When the three dimensions of a solid object all change by a factor of ' K ' . . . .

--  the surface area of the object changes by a factor of  K²

-- the volume of the object changes by a factor of  K³ .

So I guess if the surface area increases by 3, that means each linear dimension increased by √3, and the volume has to increase by  (√3)³ .  

That's 5.196 times the dog's original volume.

(And so does his weight.  The poor thing is staggering around wondering what was in that last bowl of kibble that he inhaled.)

Answer 2

The volume of bullbog is increased by a factor 5.2 when its surface area increases by a factor of 3

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape. Generally expressed in cubic meter.

It should be noted that :

A solid object's three dimensions change by a factor of K when all three dimensions change by the same factor, which means its surface area changes by a factor of K², and its volume changes by a factor of K³ when the three dimensions change by the same factor.

It is given that the a small french bulldog grows isometrically which  means that any change in dimension of bulldog will change equally in all direction and surface area of increases by factor 3,

Then the side will increase by a factor of :

k² = 3

k = √3

Now the volume of bulldog will increase by factor of :

k³ = (√3)³

   ≈ 5.2

Therefore, the volume of bullbog is increased by a factor 5.2

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Related Questions

What does it mean to say that mass is conserved during a physical change?

Answers

Answer:

When a physical change occurs, the mass of the substance is conserved. This means that the total mass of the substance remains the same from beginning to end. The physical properties of the substance, such as size and shape, may change, but the amount of matter in the substance does not change.

Explanation:

The mass is conserved during a physical change is observed by the fact that the amount of matter in the substance does not change.

What is conservation of mass principle?

According to the principle of conservation of mass, a mass can neither be created or destroyed. It can only be converted into another form.

When a physical change occurs, the mass of the object is constant. The initial mass of the object is equal to the final mass of the object. The physical change like size and shape may occur, but the mass of the object does not change.

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Pure substances can be classified as blank or compounds

Answers

i believe it is element or compound

Sound waves
a.
have an irregular vibration pattern.
b.
do not require a medium for transmission.
c.
are a change of pressure that moves through matter.
d.
move at the same rate at any given temperature.



Please select the best answer from the choices provided

Answers

Sound waves  are a change of pressure that moves through matter. (C)

Which of the following is NOT an example of a transmutation?
A. Uranium-238 emits an alpha particle forms thorium-234
B. Uranium-238 is bombarded with a neutron to produce uranium-239
C. Potassium-38 emits a beta particle and forms argon-38
D. Plutonium-239 is bombarded with two neutrons to produce americium-241 and a beta particle

Answers

Answer

The right option is (C).

Explanation

The potassium-40 is the isotope of potassium which has the half-life of 1.251×109 years to reduce its half quantity. There are rare elements present on earth which follow the two type of beta decay. Potassium-40 is one of them which can decay as beta decay to convert into Ca-40 or electron capture decay to convert into the Ar-40. In this second decay, they also emit gamma rays. So, the right option is (C) which wrong regarding the transmutation.

Final answer:

In the examples given, the transmutation process either involves the emission of particles or the bombardment with neutrons, which leads to a change in the atomic number and transforms the element into a different one. The exception is option C) where Potassium-38's release of a beta particle results in its transformation into Argon-40, not Argon-38 as stated.

Explanation:

Transmutation in chemistry refers to the process wherein an atom of one element is changed into an atom of another element through a nuclear reaction. Of the options provided: A) Uranium-238 emitting an alpha particle to form Thorium-234, B) Uranium-238 being bombarded with a neutron to produce Uranium-239, and D) Plutonium-239 bombarded with two neutrons to produce Americium-241 and a beta particle, are all examples of transmutations. These include the emission of particles or bombardment with neutrons leading to change in the atomic number and forming a different element. However, option C) Potassium-38 releasing a beta particle to form Argon-38 is not an example of a transmutation. In this case, Potassium-38 release of a beta particle results in a change in atomic number from 19 to 18, transforming into Argon-40, not Argon-38 as stated.

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How fr do you think you would go on a car while sneezing for 2.5 seconds ?

Answers

depends on the speed limit

the same speed. its only sneezing.

Help please!
Can someone answer this? And could you possibly explain what they mean by relative to the earth?

Answers

It's the old-but-important concept:  "Speed" depends on who's measuring it and how THEY're moving.  Different observers may very well observe different speeds, and they're all correct.  There's no such thing as "the REAL speed".

When you were a little kid, did you ever get on a moving escalator or walkway, and when you got to the middle, you turned around and walked the opposite way, so that somebody watching you from the outside would see you not moving at all ?

Say you're on a school bus that's driving 10 mph along the street pavement, and you get up out of your seat and run forward up the aisle at 10 mph.  Somebody outside the bus sees you passing them at 20 mph !

If instead, you run toward the BACK of the bus at 10 mph, somebody outside the bus sees you bobbing up and down but not moving forward or backward at all.

All this  problem is saying is:  The bus is driving along at 15 m/s.  A passenger on the bus puts his little baseball down on the floor on its little feet, and it runs backwards down the aisle, toward the back of the bus, at 15 m/s.  Somebody is standing outside looking into the bus as it passes by and the little baseball is scurrying toward the back of the bus.  How will HE describe the motion of the baseball ?    

Have you got it now ?

"Relative to the Earth" just  means how fast an object is passing the stores and telephone poles and people standing still ... things that are attached to the Earth.  "Relative to the bus" would mean how fast an object is passing by people sitting on the bus.

what is apples here in this next thing

Answers

Blueberries is the correct answer

complete the sentence

Answers

The object is at rest.


This is due to the fact hwen two forces act upon each other on opposite sides, the movement of the object does not change due to the net force equaling 0.

If Emily throws the ball at an angle of 30∘ below the horizontal with a speed of 14m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 4.0m.

Answers

Final answer:

To determine how far from the base of the dorm Allison should stand to catch the ball, principles of projectile motion are applied using the known angle, speed, and vertical distance. The time of flight for the vertical motion is calculated first, then used to find the horizontal distance where Allison should be positioned.

Explanation:

To solve the problem of where Allison should stand to catch the ball thrown by Emily, we need to apply the principles of projectile motion. The ball is thrown at an angle of 30° below the horizontal with a speed of 14 m/s, and it falls a vertical distance of 4.0 m. We can use these parameters to calculate the time of flight for the vertical motion and then apply that time to the horizontal component of motion to find how far from the base of the dorm Allison should stand to catch the ball.

First, we calculate the time taken for the ball to drop 4.0 m using the equation of motion: s = ut + (1/2)gt², where u is the initial velocity in the vertical direction, g is the acceleration due to gravity (approximated as 9.8 m/s²), and s is the vertical displacement.

Since the vertical component of the initial velocity (u_y) is negative in this case (as the ball is thrown below the horizontal), we must consider u_y = 14sin(-30°) = -7 m/s. The vertical displacement is -4.0 m (downwards). Plugging these values into the equation, we can solve for t.

Once we've found the time t, we then calculate the horizontal distance using the horizontal component of the initial velocity (u_x): u_x = 14cos(30°). The horizontal distance (x) can be found using the equation: x = u_x * t.

Through these calculations, we will be able to determine the distance at which Allison should stand to catch the ball.

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Which latitude receives the most direct rays of the sun year round

A. 0 degrees
B.30 degrees
C.60 degrees
D.90 degrees

Answers

Zero latitude gets the most direct sun all year around. That's the equator.

The picture you attached has nothing to do with this question.

Final answer:

The Equator (0 degrees latitude) receives the most direct rays of the sun year-round due to being at the midpoint of the Earth's surface. As we move towards poles, the sunlight becomes less direct.

Explanation:

The latitude that receives the most direct rays of the sun year-round is 0 degrees, also known as the Equator. The rays of the sun hit the equator directly because it is the midpoint of the Earth's surface. As you move away from the Equator, either towards the North or South Pole (which are 90 degrees latitude), the sun's rays hit the Earth's surface at increasingly oblique angles, resulting in less direct sunlight. Hence, options B, C, and D (30 degrees, 60 degrees, 90 degrees respectively) receive less direct sunlight compared to the Equator (0 degrees).

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the difference between speed and velocity is that A) speed is a vector and requires a direction. B) speed is a vector and requires a magnitude. C) velocity is a vector and requires a direction. Eliminate D) velocity is a vector and requires a magnitude.

Answers

The correct answer is C. Velocity is a vector and requires a direction.

Explanation:

In physics both speed and velocity are used to study the motion of a body; however, they are slightly different. In the case of speed, this describes the rate of change in position based on distance and time, because of this, speed is based on a magnitude or quantity. On the other hand, velocity is a vector because it does not only includes a change of position but the direction of motion usually based on a specific location reference.

Considering this, it can be concluded the difference between speed and velocity is that "velocity is a vector and requires a direction" because velocity includes both the distance and time (speed) along with the direction while speed focuses only on time and distance.

The difference between speed and velocity is that C) velocity is a vector and requires a direction

Further explanation

Vector is a quantity that has a value and direction

Vector can be symbolized in the form of directed line segments

[tex]\large {\boxed {\bold {\overrightarrow{A}}}[/tex]

while the length of the vector is denoted by | a |

Vectors can be written in the form of sequential pairs which shows their coordinates in the Cartesian plane: a (a₁, a₂)

with length

[tex]\large {\boxed {\bold {|a|=\sqrt{a_1^2+a_2^2}  }}[/tex]

If the direction of the vector is reversed, we get the vector -a which has the same length but in the opposite direction

Operations on vectors include addition and subtraction. Addition of vector a and vector b can be done in a triangular way where the base point of vector b coincides with the endpoint of vector a

The sum of the two is obtained by pulling the line segment from the base point of the vector a to the endpoint of the vector b which results in a new vector c

So a + b = c

If vector a is added by inverse b (-b) then the sum becomes a + (- b) = a-b

If a vector is multiplied by a scalar number (eg denoted by k) then the new vector becomes k | a |.

If k> 0, the new vector is in the direction of vector a, but if k <0 it will be in the opposite direction

A vector has a direction and a magnitude, while a scalar has only a magnitude.

Examples of scalars are: length, mass, time, speed

Examples of vectors are: force, acceleration, velocity

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Keywords: vector, speed, velocity

You push on a large box with 120 N of force, but it doesn’t move. How large is the friction force?

Answers

the friction force should be 120
Final answer:

The friction force is equal to 120 N. This is based on Newton's First Law. The friction force balances the pushing force, thus keeping the box stationary.

Explanation:

When you push on a large box with 120 N of force and it does not move, it means that the friction force opposing your push is equal to the pushing force. This is based on Newton's First Law of Motion which states that an object in motion tends to stay in motion and an object at rest tends to stay at rest unless acted upon by an unbalanced external force. Friction is the resisting force that occurs between two surfaces in contact when one or both of the surfaces are moved or attempt to move. In this case, the friction force is 120 N because it precisely offsets the applied force, keeping the box stationary.

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If a dog is mass iS 14.3 kg what is it’s weight on earth

Answers

Answer:

Weight of the dog on surface of earth is 140.14 Newton.

Given:

mass of the dog = 14.3 kg

To find:

Weight of the dog = ?

Formula used:

Weight of the dog is given by,

W = mg

Where, W = weight of the dog

m = mass of the dog

g = acceleration due to gravity

Solution:

Weight of the dog is given by,

W = mg

Where, W = weight of the dog

m = mass of the dog = 14.3 kg

g = acceleration due to gravity

W = 14.3 × 9.8

W = 140.14 Newton

Weight of the dog on surface of earth is 140.14 Newton.


The dog weight on Earth is 140.14 N.

To calculate the weight of an object on Earth, we use the formula:

Weight (N) = Mass (kg) × Gravitational Acceleration (m/s²)

On Earth, the gravitational acceleration is approximately 9.8 m/s². Given that the mass of the dog is 14.3 kg, we can find its weight as follows:

Mass of the dog: 14.3 kgGravitational acceleration on Earth: 9.8 m/s²

Now, multiplying these values:

Weight = 14.3 kg × 9.8 m/s² = 140.14 N

Therefore, the dog's weight on Earth is 140.14 Newtons (N).

Determine what is the angle labeled 6 is called

Answers

6 is angle of incidence
7 is angle of reflection

'6' is the angle of incidence.

'7' is the angle of reflection.

Why is water considered to be a complex compound

Answers

[tex]<b>HEY THERE !![/tex]

[tex]\huge{COMPOUND:-}[/tex]
Compounds contain two or more different elements. 


Water is a molecule because it contains molecular bonds . Water is also a compound  because it is made from more than one kind of element. (oxygen and hydrogen).

So If you like, you can say that water is a molecular compound.

HOPE IT HELPED YOU.

Answer:

Water is a simple compound.

Explanation:

Water, from first glance, is a simple compound. This is because it is made up of two atoms - hydrogen and oxygen. This gives the formula:

[tex]H_{2}O[/tex]

In the simple compound, one atom of oxygen is bound to two hydrogen atoms like this:

[tex]H - O - H[/tex]

The bonding in water is hydrogen bonding.  This is a bonding that takes place between the oxygen atom and a hydrogen atom of the next water molecule.

This makes the water molecule an interesting molecule.

why don’t trade winds blow straight toward the equator
Apex

Answers

Trade winds near equator blows in curve path instead of straight path. This is because of earth rotation. This effect of earth rotation that cause wind to move in curve motion is called Coriolis effect. These kind of wind blows at the northeast of the North hemisphere and southeast of the South hemisphere. The trade wind are warm and it blows due to rising of hot air from equator.

Final answer:

Trade winds don't blow straight toward the equator because the Coriolis effect causes deflection to the right in the northern hemisphere, forming northeast trade winds, and to the left in the southern hemisphere, forming southeast trade winds.

Explanation:

The trade winds don't blow straight toward the equator due to the influence of the Coriolis effect, which is caused by the rotation of the Earth. In the northern hemisphere, air moving toward the equator is deflected to the right, creating the northeast trade winds. Conversely, in the southern hemisphere, air moving toward the equator is deflected to the left, resulting in the southeast trade winds. These winds converge near the equator in the Intertropical Convergence Zone (ITCZ), leading to very wet conditions and the formation of the world's great rainforests.

How much force is needed to accelerate a 68 kilogram skier at a rate of 1.2 m/sec^2?

Answers

f=ma is newton's second law ...68x1.2=68+2/10x68 = 68+13.6=81.6n

Answer:

81.6N

Explanation:

Force = Mass x Acceleration

Force = 68 x 1.2

Force = 81.6

Units = Newtons

81.6 N

(81.6 Newtons)

the instantaneous velocity of an object is the Blank of the object with a Blank.

Answers

The intaneuos velocity of an object is the
Final answer:

Instantaneous velocity is the rate of change of an object's displacement at a specific instant or point in time, as opposed to over an extended period.

Explanation:

The instantaneous velocity of an object is the rate of change of the object's displacement with respect to time at a specific instant. Unlike average velocity, instantaneous velocity considers not the total distance and total time but the position of the object at a particular instant. For example, if a car moves with different speeds and you want to know the velocity of the car at the 5th second, you would be looking for the car's instantaneous velocity at that specific time.

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a car starts from rest and travels for 8 seconds with a uniform acceleration of 2.9 m/s^2. the driver then applies the brakes causing a uniform acceleration of -1.7m/s^2. if the brakes are applied for 2.7s how fast is the car going at the end of the braking period?

Answers

  a₁=2.9 m/s^2          t₁=8 s

   v₁=a₁*t₁= 2.9*8 m/s

  a₂=-1.7 m/s^2          t₂=2.7 s

   v₂=v₁-a₂*t=2.9*8-1.7*2.7 m/s

True or False: Once the object hits the water, the forces are balanced and the object will stop. Support your answer with reasoning

Answers

Answer:

False

Explanation:

When the object hits the water, it's not adding weight to the object, but is changing the force of the waves in the water. They wouldn't be balanced and this wouldn't determine if the object would stop. However, with more informational variables with precise measurements the answer may alter.

Drag the tiles to the correct boxes to complete the pairs. Match each form of energy to its description. motion energy thermal energy gravitational potential energy chemical energy nuclear energy sound energy stored energy related to positions of atoms within molecules arrowRight energy released when a nucleus splits or combines arrowRight energy related to an object’s movement arrowRight energy related to height arrowRight energy generated by vibration of a string arrowRight energy of motion of particles in a substance arrowRight

Answers

Answer: motion energy : energy related to an object’s movement

thermal energy : energy of motion of particles in a substance  

gravitational potential energy :  energy related to height

chemical energy :stored energy related to positions of atoms within molecules

nuclear energy : energy released when a nucleus splits or combines

sound energy : energy generated by vibration of a string

Explanation: Motion energy is also called as kinetic energy and it is defined as the energy possessed by an object due to its motion.

Thermal energy is the measure of total kinetic energy of the particles in a substance. The greater the motion of particles, the higher is the temperature of the substance and thermal energy.

Potential energy is defined as the energy possessed by an object due to its position or height.

Chemical energy is the energy stored in the bonds of the molecules.

Nuclear energy is the energy possessed in the form of binding energy which held the protons and neutrons together in the nucleus.

Sound energy is  the energy possessed by an object by virtue of vibration of matter.

Answer:

The answers are:

Stored energy related to positions of atoms within molecules: Chemical energy

Energy released when a nucleus splits or combines: Nuclear energy

Energy related to an object’s movement: Motion energy

Energy related to height: gravitational Potential energy

Energy generated by  vibration of a string: Sound energy

Energy of motion of particles in a substance: Thermal energy

Explanation:

I took the test and got this question right.

Hillary is walking to school at 1.3 m/s. She looks at her watch and realizes she is going to be late. She starts to hurry by increasing her rate by 0.090 m/s squared. What is Hillary's speed after 10 seconds?

Answers

initial speed by which Hilary is walking = 1.3 m/s

Now the rate of increase in her speed that is her acceleration is given by

[tex]a = 0.090 m/s^2[/tex]

now we need to find her final speed after t = 10 s

so here we can use the kinematics equation in order to find the final speed

[tex]v_f = v_i + at[/tex]

now plug in all data in the above equation

[tex]v_f = 1.3 + (0.090 * 10)[/tex]

[tex]v_f = 1.3 + 0.90[/tex]

[tex]v_f = 2.2 m/s[/tex]

so here the final speed will be 2.2 m/s after she accelerates

a force of 45 N isvexerted on an object, resulting in an acceleration of 5 m/s^2 for the object what will the objects acceleration be if the force doubles

Answers

Answer:

the acceleration will be 10 m/s^2

Explanation:

the force applied to an object and the acceleration of the object are directly proportional, as Newton's second law states:

[tex]F=ma[/tex]

where

F is the net force applied to the object

m is the object's mass

a is the object's acceleration

in the first example, a force F=45 N is applied to the object, giving it an acceleration of a=5 m/s^2. Therefore, the mass of the object is

[tex]m=\frac{F}{a}=\frac{45 N}{5 m/s^2}=9 kg[/tex]

In the second example, the force is doubled, so it will be F=90 N. The mass is still m=9 kg, so the acceleration will be

[tex]a=\frac{F}{m}=\frac{90 N}{9 kg}=10 m/s^2[/tex]

what causes a objects to move or stay still? claim and evidence

Answers

Any object which is in state or rest is made to change its by applying the external force. An object is made to move or stay still due to its inertia.

What is inertia?

Mass is the measure of inertia . Greater the mass, greater will be the inertia.

Inertia is the opposition caused to the motion of an object whether it is still or moving. It is a tendency to do nothing or remain unchanged.

Hence, Inertia causes an object to move or stay still.

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Final answer:

Objects move or stay still based on Newton's first law of motion or the law of inertia, which states that an object will continue its current state of rest or constant motion unless an external force acts upon it.

Explanation:

What causes objects to move or stay still can be explained by Newton's first law of motion, also known as the law of inertia. This law states that every object will continue to be in a state of rest or move at a constant speed in a straight line unless it is compelled to change by an outside force. For example, if you slide a book on a table, it eventually stops because of the friction (an outside force) between the book and the table.

Similarly, an object moving in an elliptical path, such as a planet, must be subjected to a constant force that keeps changing its direction. Newton proposed this force to be gravity. So, if you throw a ball (a small scale example), it eventually drops to the ground because of the gravitational pull of the earth.

Therefore, without an external force, a stationary object stays put, and a moving object keeps moving at the same speed and in the same direction.

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which of the following accurately describes the differences between the SI and English system of measurement

Answers

There are no accurate descriptions on the list of choices you provided.

Answer:

The SI System, Which is based on the metric has been more widely adopted than the english system and is harder to use.

Explanation:

Which of the folllowing properties of matter is independent of its location.
A.Mass
B. Volume
C.Pressure
D.Weight

Answers

Im not sure about this one but the one i will go for is a.

How fast must a 100 kg object be going in order for it to stop a 200 kg object traveling at 10 km/hr when the two objects collide head on?

Answers

p1i+p2i =p1f +p2f where p is momentum and i denotes initial, f denotes final, and 1 and 2 refers to the object number. If the object stops, their velocity is 0 and p1f and p2f also equal 0.

p=mass x velocity

We have p1i=-p2i

100v1i=-(200) (-10÷3.6)


Note: 10÷3.6 is 10km/hr in m/s
Note: The velocity of the second object ifs negative because I said the velocity of the first object was positive and the second object is travelling in the opposite direction

So v1i=20/3.6=5.56m/s

If water in a bath is at 104°F then what is the temperature of the water in degree Celsius?

Answers

Your answer is 40 degrees Celsius

104f in celsius is 40c

What object is the type of matter that makes up the object and the way that matter is arranged

Answers

Mass is the amount of matter that an object contains. Don't understand the question.. 100 grams of something is an amount of matter with a mass of 100 grams. I'm guessing composition

If the velocity of a car is 45 km/h west, how far can it travel in 0.5 hours?

Answers

45km/h * 0.5h= 22.5km

The car can travel 22.5km in 0.5 hours

(45 km/hour west) · (0.5 hour) =

(45 · 0.5) · (km · hour west/hour) =

22.5 km west

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