John has a boat that will travel at the rate of 15 kph in still water. he can go upstream for 35 km in the same time it takes to go 140 km downstream. how fast is his boat traveling when he goes downstream? 22 kph 24 kph 26 kph

Answers

Answer 1

Answer:

24kph

Explanation:

Answer 2

John has a boat that will travel at the rate of 15 kph in still water. he can go upstream for 35 km in the same time it takes to go 140 km downstream, then it would go 24 kph downstream, therefore the correct answer is option B.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter / second.

As given in the problem John has a boat that will travel at the rate of 15 kph in still water. he can go upstream for 35 km in the same time it takes to go 140 km downstream.

Let us take the speed of the stream would be x kph.

35 / 15 -x = 140 / 15 + x

x = 9

The speed of the boat downstream = 15 + 9

                                                            = 24 kph

Thus, it would go 24 kph downstream, therefore the correct answer is option B.

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Related Questions

What does a negative moment of inertia mean?

Answers

To solve this we must be knowing each and every concept related to   moment of inertia  and its calculations. Therefore, moment of inertia mean of an object can not be negative. A negative moment of inertia has no significance.

What is  moment of inertia?

Moment of inertia, also known as angular mass and rotational inertia, is a number that determines the amount of torque necessary for a specific angular acceleration or even a quality of a body that opposes angular acceleration.

No. The inertia moment is defined as the product of mass, time, and distance to the rotational axis squared. The combination is always positive since mass has always been positive and the squares of any real integer is always positive.

Therefore, moment of inertia mean of an object can not be negative. A negative moment of inertia has no significance.

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In classical mechanics, it typically refers to a system or object that, under these conditions, displays aberrant behaviour or characteristics at conflict with classical mechanics.

Moment of inertia is a characteristic used in classical mechanics to measure an object's resistance to circular motion. It always has a positive value or zero, denoting how mass is distributed along a rotational axis.

However, the idea of a negative moment of inertia might occur in some complex mathematical situations or in specialised domains like quantum mechanics.

Thus, it usually denotes a system or item under these circumstances that exhibits anomalous behaviour or features that are at odds with classical mechanics.

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name one benefit and one limitation of Comparative investigations

Answers

Comparative investigation is a research method that makes comparison across different countries of the world. Limitation : data set in different countries may be defined differently. Benefit : the method is flexible.

Answer:

Comparative investigations provide large amounts of information and use a wide range of variables. However, they may reveal relationships that do not always indicate cause and effect.

Explanation:

i took the test

A bug flies at a velocity of 0.75 m/s into an oncoming breeze blowing at 0.25 m/s. What is the resultant velocity of the bug?
A 0.0 M/S
B0/25 M/S
C 0.50 M/S
D 1.0 M/S

Answers

C: .50 m/s is the answer

Kerosene was commonly used in lamps because it burns easily.

Answers

Answer:

This is a chemical property

Explanation:

On EDG

If you notice that two waves combine and a part of the resulting wave has less light intensity than either of the individual waves, you're observing A. destructive interference. B. polarization. C. constructive interference. D. diffraction.

Answers

The correct option is A.
Destructive interference is said to occur when two waves of equal frequencies and opposite phase merge in such a way that the negative displacement of one wave coincides with the positive displacement of the other thus cancelling each other out.

If you notice that two waves combine and a part of the resulting wave has less light intensity than either of the individual waves, you're observing destructive interference.

The BEST example of diffraction is the image of A) your face as it appears in a mirror. B) a pencil that appears broken in a glass of water. C) a ring around the Sun caused by particles in the air. D) a fingerprint that appears to be enlarged under a magnifying glass.

Answers

c) a rind around the sun caused by particles in the air
The answer is { C. a ring  around the Sun caused by particles in the air.

While looking at bromine (Br) on the periodic table, a student needs to find another element with very similar chemical properties but with a different atomic mass. Which best describes the student’s options? There are two possible elements, and they are directly to the left and right of bromine. There are two possible elements, and they are directly above and below bromine. There are many possible elements, and they are all in the same vertical column as bromine. There are many possible elements, and they are all in the same horizontal row as bromine.

Answers

Answer:  There are many possible elements, and they are all in the same vertical column as bromine

Explanation: All the elements in the same vertical columns or same groups have similar chemical properties due to the presence of similar valence shell configurations but have different masses as the number of protons and neutrons keep on increasing on moving down the group.

All the halogens (members of fluorine group) are short of one electron each to attain their stable noble gas configuration and hence behave similarly.

[tex][X]:ns^2np^5[/tex]

The elements present in the same horizontal row or same period differ in the chemical properties as they have different valence shell configurations.

The option which best describes the student's opinion is that

there are many possible elements, and they are all in the same

vertical column as bromine.

What is a Group?

A group in the periodic table is the vertical section which

contains elements of the same number of valence electrons and

similar chemical properties.

Bromine for example belong to group 17 which contains other

elements such as:

IodineChlorine etc.

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A giraffe trots 3.40 km due north, then 2.60 km due west. what is the magnitude of its displacement?

Answers

First, draw a picture to help you visualize what is happening. I attached my picture below. 

Before you do the Pythagorean theorem make sure to convert the lengths to meters by multiplying by 1000.

(in case my handwriting is too messy to read)
Here is what I wrrote on my paper poiting at the blue displacement vector: " The magnitude of this displacement vector will be a combination of length and direction of the hypotenuse(blue vector) or this triangle. 

To solve for the length use the Pythagorean theorem(where "c" is the hypotenuse):
a= 3400 meters
b= 2600 meters
[tex] c^{2} = a^{2} + b^{2} [/tex]
[tex]c= \sqrt{( a^{2} + b^{2} )} [/tex]
[tex]c= \sqrt{( (3400^{2}) +(2600^{2}) )}[/tex]
[tex]c= \sqrt{( (11,560,000) +(6,760,000) )}[/tex]
[tex]c= \sqrt{ (18,320,000) } [/tex]
c=4,280.2 meters Northwest

If a  giraffe trots 3.40 km due north , then 2.60 km due west, then the magnitude of the displacement would be 4.28 kilometers .

What is displacement ?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard. Displacement describes this shift in location .

As given in the problem if a giraffe trots 3.40 km due north, then 2.60 km due west , then we have to find out the magnitude of the displacement,

The magnitude of the displacement of the giraffe = √ ( 3.40² + 2.60² )

                                                                                   = 4.28

Thus , the magnitude of the displacement of the giraffe would be 4.28 kilometers .

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What are the principal differences between a radio wave and light? between light and an x-ray?

Answers

A radio wave Has a higher wavelength than light
X-rays hv a higher penetrating power dan light

Swamps differ from marshes in that swamps _____.

(A) Are rich in waterfowl

(B) Are dominated by grasses and rushes

(C) Have acidic soil

(D) Are dominated by trees and shrubs

Answers

Final answer:

Swamps are notably different from marshes due to the dominance of trees and shrubs in their ecosystem. (Option D)

Explanation:

Swamps differ from marshes in that swamps are dominated by trees and shrubs. While marshes are typically characterized by their grass and rush-dominated vegetation, swamps distinguish themselves with a more wooded environment. This means that a swamp's ecosystem typically revolves around a dense canopy formed by trees and shrubs, providing a unique ecological habitat.

Furthermore, this habitat often boasts slow water flow, just like marshes, yet it features a different array of plant and animal life thanks to the domination of woody plants. This distinction in vegetation composition between swamps and marshes contributes to the diverse ecological niches and biodiversity within these wetland ecosystems, reflecting the adaptability of flora and fauna to their specific habitat structures.

Does a 2000 mercury cougar have a timing belt

Answers

No it does not have a timing belt

A NASA centrifuge spins astronauts around in a compartment attached to a long arm. A diagram of the centrifuge is shown below.

c. If the arm has a radius of 7.1 m and spins the astronaut with a speed of 13.5 m/s, what is the acceleration of the astronaut? (1 point)
d. The maximum acceleration the centrifuge can produce is 14.5 g. What is this acceleration in m/s2? (2 points)
e. How fast would the compartment have to move to produce an acceleration of 14.5 g? (1 point)

Answers

14.5 g I'm guessing lol I just got this from what you wrote just joined the website why do I have to write 20 charcters tho?

For D) you just take the number if g 145 and the acceleration of gravity 9.80665. You should of got 145 × 9.80665 = 14.5 ---

A pear hangs in a tree at a height of 1.8 m. The pear has a mass of 0.2 kg. The pear falls out of the tree and lands on the ground.
1. How much kinetic energy does the pear have when it reaches the ground?
2. How fast is the pear moving when it hits the ground?

Answers

We apply the simple principle of energy conservation. At height [tex]h=1.8 m[/tex] the pear has potential energy (and no kinetic energy). When it hits the ground the pear has kinetic energy (and no potential energy). Because the pear falls in a conservative force field (the gravitational field) the initial potential energy = final kinetic energy.
[tex]mgh=mv^2/2 [/tex]
Thus its kinetic energy is
[tex]E_k =2gh =2*9.81*1.8 =35.316 (J) [/tex]
and its speed is
[tex]v= \sqrt{2gh} = \sqrt{2*9.81*1.8}=5.94 (m/s) [/tex]

Final answer:

The pear has a kinetic energy of 3.528 J just before it hits the ground, and it is traveling at a velocity of about 5.94 m/s at that moment.

Explanation:

To answer the two questions, we can use the principles of energy conservation and kinematics. When the pear falls, its gravitational potential energy is converted into kinetic energy.

1. Kinetic Energy of the Pear When it Reaches the Ground:: The gravitational potential energy (PE) of the pear at the height of 1.8 m is given by PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height. For the pear with a mass of 0.2 kg, the potential energy is PE = 0.2 kg * 9.8 m/s2 * 1.8 m = 3.528 J. Assuming there is no energy loss, this potential energy is entirely converted to kinetic energy (KE) just before the pear hits the ground.

2. Velocity of the Pear When it Hits the Ground:: The formula for kinetic energy is KE = ½mv2, where m is the mass and v is the velocity. We can rearrange this to solve for v, giving us v = √(2KE/m). Substituting the values we have, the velocity is v = √(2*3.528 J / 0.2 kg) = √(35.28 m2/s2) = 5.94 m/s (approximately). Therefore, just before impact, the pear is moving at a velocity of about 5.94 m/s.

calculate the kinetic energy of a car with a mass of 500kg traveling at a velocity of 10m/s^2 north. A) 2,500j B) 25,000j C) 50,000j D) 100j

Answers

Final answer:

The kinetic energy of a 500 kg car traveling at 10 m/s is calculated using the formula KE = 0.5 × m × v², resulting in 25,000 J, which corresponds to option B.

Explanation:

To calculate the kinetic energy (KE) of a car, we can use the formula KE = 0.5 × m × v², where 'm' is the mass of the car and 'v' is its velocity. In this case, the car has a mass (m) of 500 kg and a velocity (v) of 10 m/s (note that the unit m/s² is typically used for acceleration, but here it's clear that velocity is intended).

Substituting the given values into the equation, we get KE = 0.5 × 500 kg × (10 m/s)² = 0.5 × 500 × 100 = 25000 J. Therefore, the kinetic energy of the car is 25,000 joules (J), which corresponds to option B).

_________ are exchanged or shared during the formation of a chemical bond.

Answers

A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds. The bond may result from the electrostatic force of attraction between oppositely charged ions as in ionic bonds; or through the sharing of electrons as in covalent bonds.

Chemical Bonds are made by sharing or exchanging valence shell electrons of two or more atoms

If the accepted value of a wave is 121 m/s, who has the most accurate method of measuring the speed of a wave?

Answers

The answer would be erin out of all of them thank me later :)

Answer: B. Erin

Explanation: She is the closest to 121 with 124 which is the most accurate.

A man drops a stone into a water well on his farm. He hears the sound of the splash 4.26s later. How deep is the well? The acceleration due to gravity is 9.8m/s^2 and the speed of sound in air is 313m/s. Answer in units of m

Answers

First let us calculate the time required for the stone to drop, say t1.

We use the formula:

h = vi t1 + 0.5 g t1^2

where h is height, vi is initial velocity = 0

h = 4.9 t1^2

 

Then the time required for the sound to go up, say t2:

h = 313 t2 – 4.9 t2^2

 

The two heights are equal so equate:

4.9 t1^2 = 313 t2 – 4.9 t2^2

 

We know that:

t1 + t2 = 4.26

so,

t1 = t2 – 4.26

 

Therefore:

4.9 (t2 – 4.26)^2 + 4.9 t2^2 – 313 t2 = 0

4.9 (t2^2 – 8.52 t2 + 18.1476) + 4.9 t2^2 – 313 t2 = 0

4.9 t2^2 – 41.748 t2 + 88.92324 + 4.9 t2^2 – 313 t2 = 0

9.8 t2^2 – 354.748 t2 = -88.92324

t2^2 – 36.2 t2 = -9.0738

 

Completing the square:

(t2 – 18.1)^2 = -9.0738 + 327.61

t2 – 18.1 = ± 17.85

t2 = 0.25s, 35.95

t2 cannot be greater than 4.26 s, therefore correct one is:

t2 = 0.25 s

 

Therefore height of the well is:

h = 313 t2 – 4.9 t2^2

h = 313 * 0.25 – 4.9 * 0.25^2

h = 77.94 m = 78m

Final answer:

The depth of the well is approximately 91.164 m neglecting the time for sound to travel up the well, and approximately 364.656 m taking into account the time for sound to travel up.

Explanation:

To calculate the depth of the well, we can use the equation: height = (1/2) * g * t2, where g is the acceleration due to gravity and t is the time it takes for the sound to travel back. Since the sound takes 4.26s to return, the formula becomes: height = (1/2) * 9.8 * (4.26)2. Solving this equation gives us the depth of the well as approximately 91.164 m.

Taking into account the time for sound to travel up the well, we need to consider the time it takes for the sound to travel down and then up again. The total time for the sound to travel down and back up is twice the time for the sound to travel down. So, the formula becomes: height = (1/2) * 9.8 * (2 * 4.26)2. Solving this equation gives us the depth of the well as approximately 364.656 m.

A 55 kg baseball player slides into third base with an intial speed of 4.6 m/s.if the coefficient of kinetic friction between the player and the ground is 0.46, what is the player's acceleration?

Answers

Final answer:

The baseball player's acceleration, considering the coefficient of kinetic friction and his mass, is roughly -4.5 m/s². The negative sign indicates a deceleration due to friction.

Explanation:

This is a problem involving Physics, specifically the concept of friction and acceleration. Here, we have a baseball player, with a mass of 55 kg, sliding into third base. The coefficient of kinetic friction between the player and the ground is stated to be 0.46. We'll use these values to calculate the player's acceleration.

The equation representing the force due to friction (Ff) is μmg, where μ is the coefficient of friction, m is mass and g is gravity (9.8 m/s²). Here, we insert the given values and find Ff to be approximately 247.34 N. Since Ff = ma (force is mass times acceleration), we can find the acceleration by rearranging to a = Ff/m. Inserting our values, we find the acceleration to be approximately -4.5 m/s².

The negative sign denotes that this is a deceleration force, as expected since the friction slows down the player.

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discuss the changes in potential energy and kinetic energy and total energy for skateboarder going up and down on a half pipe ramp

Answers

In regards to basic motion, the total energy is simply the sum of potential energy and kinetic energy. Potential energy is dependent with position.

 

Going up:

Potential energy increases, Kinetic energy decreases, Total energy is constant

 

Going down:

Potential energy decreases, Kinetic energy increases, Total energy is constant

It's actually 175 J for the answered you got from ingenuity so i hope this helps

Theodore Maiman demonstrated the first working laser in 1960. At that time, scientists didn't really know what they were going to use the lasers for, but since then, there have been many new products developed that rely on laser technology.

In which of the following products are lasers used?

I.
CD players
II.
barcode scanners
III.
hair removal
IV.
medical surgery

Answers

Barcode Scanners

Hope this helps!!!

Answer:

i, ii, iii and iv

Explanation:

Lasers are optical devices used to produce beam of light by the stimulated emission of radiation. As a matter of fact, Laser is the short form for "Light amplification by stimulated emission of radiation". Lasers can be used in various applications such as;

i. laser printers

ii. fiber optic and free-space optical communication

iii. medical surgery and

iv. treatments of skin

v. barcode scanners

vi. hair removal from face, leg, arm and other areas

vii. optical disk drives e.g in CD players

What does the variable p stand for in physics?

Answers

is this a complete question or is there a problem to match it? maybe goggle it?

Final answer:

In physics, the variable p predominantly represents linear momentum of a particle, defined as p = mv. It also stands for pressure (P) in thermodynamics and the density of charge (rho) in contexts involving electricity and magnetism. Additionally, it signifies a constant pressure condition when measuring specific heat.

Explanation:

The variable p in physics stands for several concepts depending on the context in which it's used. Primarily, p denotes linear momentum of a particle, defined by the equation p = mv, where m is the mass of the particle, and v is its velocity. The choice of the letter p for momentum is historically attributed to the Latin word "impetus." In the realm of thermodynamics and statistical physics, P represents pressure, an intensive variable indicating the force per unit area applied in a direction perpendicular to the surface of an object. Notably, in the context of relativity, the term p also refers to a component of the four-momentum, indicative of how the total energy and momentum of a particle remain constant across different frames of reference.

Another important distinction is the use of p (rho) to represent the density of charge, expressed in coulombs per cubic meter. Additionally, in thermodynamics, the subscript p is used to denote processes that occur at constant pressure, particularly in the method used for measuring the specific heat of solids and liquids. Understanding the application of p in these different contexts requires acknowledgment of the diversity and depth within the field of physics, highlighting its role as a fundamental variable across various domains.

When you push a 1.90-kg book resting on a tabletop, you have to exert a force of 2.10 N to start the book sliding. Once it is sliding, however, you can use a force of only 1.06 N to keep the book moving with constant speed. Part A What is the coefficient of static friction between the book and the tabletop?

Answers

static frictional force = ƒs = (Cs) • (Fɴ)
              2.26 = (Cs) • m • g
              2.26 = (Cs) • (1.85) • (9.8)
           Cs = 0.125 
kinetic frictional force = ƒκ = (Cκ) • (Fɴ)
              1.49 = (Cκ) • m • g
              1.49 = (Cκ) • (1.85) • (9.8)
           Cκ = 0.0822 

When you push a 1.90-kg book resting on a tabletop with a force of 2.10 N, the coefficient of static friction between the book and the tabletop is 0.11.  

A) When the book is resting on a tabletop and then is pushed with a force of 2.10 N, we have:

[tex] F - F_{\mu_{s}} = ma [/tex]   (1)

Where:

F: is the applied force = 2.10 N

[tex]F_{\mu_{s}}[/tex]: is the force due to the coefficient of static friction = [tex]\mu_{s}N[/tex]  

m: is the mass of the book = 1.90 kg

a: is the acceleration

N: is the normal force = mg

g: is the acceleration due to gravity = 9.81 m/s²

[tex] \mu_{s}[/tex]: is the coefficient of static friction =?

Since the book is at rest, the acceleration is zero, so equation (1) is:

[tex] F - F_{\mu_{s}} = 0 [/tex]    

[tex] F - \mu_{s}N = 0 [/tex]    

[tex] F - \mu_{s}mg = 0 [/tex]    

Solving the above equation for [tex]\mu_{s}[/tex] we have:

[tex] 2.10 N - \mu_{s}*1.90 kg*9.81 m/s^{2} = 0 [/tex]    

[tex] \mu_{s} = \frac{2.10 N}{1.90 kg*9.81 m/s^{2}} = 0.11 [/tex]

Therefore, the coefficient of static friction is 0.11.

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What is the relationship between wavelength and frequency? is it direct or inverse?

Answers

The relationship between wavelength and frequency is inverse.

This is as the wavelength increases the frequency decreases and as the wavelength decreases the frequency increases.

The light meets this equation that reflects the relationship between wavelength and frequency:

c = wavelength * frequency => wavelength = c / frequency

where c is the constant speed of light.

Answer:

inverse

Explanation:

The ionosphere is a layer of the atmosphere located inside the _____.

Answers

It's the thermosphere

Answer:

The ionosphere is a layer of the atmosphere located inside the Thermosphere.

Explanation:

Ionosphere: It is an upper layer present in the atmosphere,which has different ionized layers through which electricity is conducted. It is present within the thermosphere.

The ionosphere has three layers:

1.F layer

2.E layer

3.D layer

Which of the following statements about entrepreneurs in the U.S. is correct?

Select the best answer from the choices provided.
New category-killer stores like Home Depot and Barnes and Noble provide entrepreneurs with help and ideas.
Lobbying by businesses helps create free-market incentives that help entrepreneurs.
Many professionals, such as doctors, hair dressers, and programmers, work as entrepreneurs in their own businesses.
All of the answers are correct.
NextReset

Answers

The correct answer should be
Many professionals, such as doctors, hair dressers, and programmers, work as entrepreneurs in their own businesses.

Business lobbying usually works in such a way to reduce competition and not help the free-market. Commonly it's about big companies getting cuts that smaller ones can't. Stores like Home Depot and Barnes and Noble don't provide help and ideas but rather want to establish a sort of a monopoly over a business type.
Final answer:

The correct statement is that various professionals like doctors and programmers often engage in entrepreneurship in the U.S., contributing to a diverse and innovative economy. Entrepreneurs are essential to developing new technologies and services, enhancing competition, and driving wealth creation within the free enterprise system.

Explanation:

The correct statement about entrepreneurs in the U.S. is that many professionals, such as doctors, hairdressers, and programmers, work as entrepreneurs in their own businesses. These individuals utilize their skills and expertise to start and manage their ventures, contributing to a dynamic and diverse economy.

Entrepreneurs are not just limited to starting new ventures; they are also pivotal in introducing innovative technologies and improvements that enhance productivity and efficiency within various industries. They are often motivated by the potential for monetary success and the opportunity to introduce superior products or services to the market. Competition resulting from entrepreneurial endeavors can lead to better quality products at lower prices for consumers.

In the U.S. free enterprise system, entrepreneurs enjoy individual freedom to develop their ideas, which leads to a varied marketplace with responsive pricing and investment opportunities. This fosters the creation of wealth not only for the entrepreneurs themselves but also for the broader economy through job creation and tax revenues.

An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. what maximum height does she reach?

Answers

Her center of mass will rise 3.7 meters. First, let's calculate how long it takes to reach the peak. Just divide by the local gravitational acceleration, so 8.5 m / 9.8 m/s^2 = 0.867346939 s And the distance a object under constant acceleration travels is d = 0.5 A T^2 Substituting known values, gives d = 0.5 9.8 m/s^2 (0.867346939 s)^2 d = 4.9 m/s^2 * 0.752290712 s^2 d = 3.68622449 m Rounded to 2 significant figures gives 3.7 meters. Note, that 3.7 meters is how much higher her center of mass will rise after leaving the trampoline. It does not specify how far above the trampoline the lowest part of her body will reach. For instance, she could be in an upright position upon leaving the trampoline with her feet about 1 meter below her center of mass. And during the accent, she could tuck, roll, or otherwise change her orientation so she's horizontal at her peak altitude and the lowest part of her body being a decimeter or so below her center of mass. So it would look like she jumped almost a meter higher than 3.7 meters.

How do we feel texture?

Answers

Tanvas is a company which is using "surface haptics" to bring the feeling of unlimited textures to flat, physical surfaces such as your phone or tablet. Surface haptics add a realistic sense of touch; touch a digital illustration and feeling the life-like textures on the screen. Touch the rhino image and feel the rhino's leathery, rough skin.  Imagine the unlimited possibilities for blind students!
It’s all about the surface and how our fingertips sense that surface. A rough surface has lots of complicated high bits and low bits, which our fingertips can sense as tiny bumps as we touch it. The bumps set off signals in our fingertips which shoot up into our brain and we feel it as rough. Smooth things have a very flat surface, so our fingertips just glide across and don’t get bumped, we still feel pressure as we press our finger on it but it doesn’t get bumped. Soft things are very delicate and made up of a lot of air, so when you push against them they don’t push back. Hard things are very strong and the atoms are packed together tightly, so they put up a lot of resistance when we press against it.

what conditions in the nucleus are likely to result in an atom undergoing radioactive decay

Answers

When the attraction of the strong force is weaker than the repulsion of the electrostatic force. 

from an origin you walk 3 meters east 7 meters west and then 6meters east . where are you now relative to the origin?

Answers

You take 3 steps east, turn around & take another 7 steps west (4 steps always from origin) you turn around again and take 6 more steps east - 2 steps always from origin

A blacksmith heats a 1,540 g iron horseshoe to a temperature of 1445°c before dropping it into 4,280 g of water at 23.1°c. if the specific heat of iron is 0.4494 j / g °c, and the water absorbs 947,000 j of energy from the horseshoe, what is the final temperature of the horseshoe-water system after mixing

Answers

Final answer:

The final temperature of the horseshoe-water system can be found by setting the equation of heat lost by the horseshoe equal to the equation of heat gained by the water and solving for the common final temperature.

Explanation:

To solve this problem, we need to use the principle of conservation of energy, which states that total energy before and after the heat transfer should be equal. So, the heat lost by the horseshoe should equal the heat gained by the water.
Heat lost by the horseshoe = mass * specific heat * change in temperature = 1540g * 0.4494 J/g°C * (1445 - x)°C = 1540(0.4494)(1445 - x) J, where 'x' is the final temperature.

Since the water absorbs 947000 J from the horseshoe, this value is the heat gained by the water = mass * specific heat * change in temperature = 4280g * 4.184 J/g°C * (x - 23.1)°C = 4280(4.184)(x - 23.1) J

By setting the two equations above equal to each other (since the heat lost by the horseshoe equals the heat gained by the water), we find: 1540(0.4494)(1445 - x) = 4280(4.184)(x - 23.1)

Solving this equation will give us the final temperature 'x' for the horseshoe-water system after mixing.

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