Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the
pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it
takes t = 0.0320 s for a crankshaft with a radius of r = 3.75 cm to reach 1250 rpm. If the belt does not stretch or slip, calculate
the angular acceleration ay of the larger camshaft, which has a radius of r2 = 7.50 cm, during this time period.

Answers

Answer 1

The angular acceleration of the larger camshaft is 995.72 rad/s².

The given parameters;

initial angular velocity, \(\omega _i\) = 0time of motion, t = 0.032 sradius of the crankshaft, r = 3.75 cm final angular speed, \(\omega _f\) = 1250 rpm

The angular acceleration of the 3.75 cm camshaft is calculated as follows;

\(\omega _f = \omega _i + \alpha t\\\\\omega _f =0 + \alpha t\\\\\omega _f = \alpha t\\\\(1250 \ \frac{rev}{\min} \times \frac{2 \pi \ rad}{rev} \times \frac{1\min}{60 \ s} ) = 0.032 \alpha \\\\130.92 = 0.032\alpha \\\\\alpha = \frac{130.92}{0.032} = 4091.25 \ rad/s^2\)

The angular momentum of the camshaft is calculated as follows;

\(I_1 \alpha _1 = I_2 \alpha_2 \\\\\frac{1}{2} mr_1^2 \alpha _1 = \frac{1}{2}m R^2 \alpha_2\\\\r_1^2 \alpha _1 = R^2 \alpha_2\\\\\alpha_2 = \frac{r_1^2 \alpha _1 }{R^2} \\\\\alpha_2 =\frac{(0.037)^2 \times (4091.25)}{(0.075)^2} \\\\\alpha _2 = 995.72 \ rad/s^2\)

Thus, the angular acceleration of the larger camshaft is 995.72 rad/s².

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Related Questions

4. A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface? how to draw the question?

Answers

It is to be noted that the magnitude of the electric flux through the hemisphere surface  is πR²E. (Option D)

What is an Electric Flux?

The characteristic of an electric field known as electric flux may be thought of as the quantity of electric lines of force (or electric field lines) that cross a certain region.

According to this theory, electric field lines begin with positive electric charges and end with negative charges.

What is the calculation for the above?

Recall  that the A hemispherical surface (half of a spherical surface) of radius R.

In order to derive the Magnitude of the electric flux we use the following formula:

Ф = ∈ x Area of the Curve Surface

⇒ Ф = ∈ x πR²

⇒ Ф = πR²∈

Thus, option D is the correct answer.

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Full Question:

A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface?

A) 2πR²∈

B) 0

C) 4 πR²∈/3

D) πR²∈

4. A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric

How will reversing the direction of the magnet affect electromagnetic induction?

A. Increase the current.
B. Decrease the current.
C. Change the direction of the current.
D. No effect.

Answers

Answer:

C. Change the direction of the current.

Explanation:

When the direction of the magnetic field lines is reversed, the direction of the induced current will be reversed B is incorrect because the magnet is moving in the opposite direction to the diagram This means it will deflect in the opposite direction (to the left).

A ball is projected with an initial velocity 50m/s at an angle 30 degree from the top of a tower 55m high.calculate the total time the ball was on the air and the maximum horizontal distance

Answers

Time of flight = 1.6 s

Horizontal distance = 64 m

What is a projectile motion?

Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.

For the given case,

h = vt + ¹/₂gt²

h = height of tower

v = initial velocity

t = time of flight

55 = 50sin30t + ¹/₂9.8t²

55 = 25t + 4.9t²

4.9t² + 25t - 55 = 0

t = 1.6 s

X = vₓt

X = horizontal distance

vₓ = horizontal velocity

t = time of flight

X =  (50 x cos30) x 1.6

X =  64 m

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Nowton's third law refers to 'action reaction forces*. These forces are
always:

Answers

equal in magnitude but opposite in direction

refer to the attachment​

refer to the attachment

Answers

ANSWER:

We can't form a real image using a convex mirror because the image is formed behind the convex mirror they cant be received on screen. So it is not real image.

maybe it's correct?

hope it is!

We can't form a real image using a convex mirror because the image is formed are behind the mirror (virtual).

What is a convex mirror?

A convex mirror is a curved mirror with reflective surface curved outward towards the light source.

The properties of images formed by a convex mirror; the images are

Erect, Virtual, and Diminished

Thus, we can conclude that we can't form a real image using a convex mirror because the image is formed are behind the mirror (virtual).

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a.
13. A planet orbiting the sun
Newton's 1st Law
b. Newton's 2nd Law
c. Newton's 3rd Law

Answers

Newtons first law of motion.

If you exert a force of 24 N to lift a box adistance of 2.24 m, how much work do youdo?Answer in units of J

Answers

We are given that a force of 24N is exerted on an object to lift it a distance of 2.24m. To determine the work done we will use the following formula:

\(W=Fd\)

Where:

\(\begin{gathered} W=\text{ work} \\ F=\text{ force} \\ d=\text{ distance} \end{gathered}\)

Substituting the values we get:

\(W=(24N)(2.24m)\)

Solving the operations:

\(W=53.76J\)

Therefore, the work done is 53.76 Joules.

You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?

Answers

A. The average speed you can use to pull the safe is 1.02 m/s

B. The time needed to pull the safe up is 17.65 s

A. How do i determine the velocity?

First, we shall obtain the force. This is shown below:

Mass of safe (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s² Force (F) =?

F = mg

F = 60 × 9.8

F = 588 N

Finally, we shall obtain the average speed. Details below:

Power = 600 WForce = 588 NAverage speed =?

Power = force × average speed

600 = 588 × average speed

Divide both sides by 588

Average speed = 600 / 588

Average speed = 1.02 m/s

B. How do i determine the time?

The time needed to pull the safe up can be obtained as follow:

Average speed = 1.02 m/sTotal distance = 18 mTime = ?

Time = Total distance / average speed

Time = 18 / 1.02

Time = 17.65 s

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Complete question:

You know you can provide 600 W

of power to move large objects. You need to move a 60-kg

safe up to a storage loft, 18 m

above the floor.

Part A

With what average speed can you pull the safe straight up?

Part B

What is the time needed to pull the safe up?

The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.

Answers

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Today's topic
( read the instructions before solve this question. The instructions is after the question)
{PHYSICS}
• What do you understand by the motion of an object?
• What is uniform and non uniform motion?

{INSTRUCTIONS FOR THIS QUESTION}
• This question is from high school student.
• Need only logical answer.
• Nonsense answer will be reported.
• If you solve this question you gain 10 pts.​

Answers

Answer:

While a body is said to be in motion if it changes its position with respect to immediate surroundings.

A body is said to be in uniform motion if it covers equal distances in equal interval of time.

A body is said to be in non-uniform motion if it covers unequal distances in equal interval of time or vice-versa

URGENT HELP PLS
(a) Find the frequency ratio between the two frequencies f1 = 320 Hz and
½2 = 576 Hz.
S) If we go down from / by an interval of a fourth, find the frequency ratio filfi.
(c) Find the frequency of f3.

Answers

The frequency of f3 is approximately 716 Hz.

What is frequency?

The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.

a. Given two frequencies, f1 and f2, the frequency ratio is as follows:

frequency ratio= \(\frac{f2}{f1}\)

Inputting the values provided yields:

frequency ratio = \(\frac{576}{320Hz}\) =1.8.

As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.

b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:

frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)=  \(\frac{f}{ (f1 / 1.3348) }\)

By dividing the numerator and denominator by 1.3348, we may make this more straightforward:

frequency ratio= (f × 1.33348)/f1

As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.

c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831

Therefore, the frequency of f3 is:

f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz

Therefore, the frequency of f3 is approximately 716 Hz.

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What should stainless steel be considered when using it?

Answers

Strength, ductility, and toughness are the three top mechanical qualities that should be given importance. Stainless steel comes with 10–30% chromium as its alloying element. It is this element that helps it resist corrosion.

assume that the brakes in your car create a constant deceleration if you double your driving speed how does this affect a0 the time required to come to a stop and b) the distance needed to stop?

Answers

For the moving car, if you double your driving speed;

a. the time required to come to a stop will increase by a factor of 2.

b. the distance needed to stop will increase by a factor of 2.

What is the formula relating acceleration, speed, time, and distance traveled?

The formula relating to the acceleration, speed, time, and distance traveled of an object is a formula of the equations of motion.

The equations of motion are given below as follows:

v = u + at

s = ut + ¹/₂at²

v² = u² + 2as

where:

v = final speed

u = initial speed

t = time taken

s = distance traveled

a = acceleration

Considering the given scenario:

a. if the speed is doubled, the equation v = u + at applies for the time required to come to a stop;

t =2 * v - u / t

the time will be increase.

b. if the speed is doubled, the equation v² = u² + 2as applies for the distance needed to stop;

s = 2 * v² - u²

the distance will increase with an increase in speed.

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the dust bowl was an example of millions of pounds of dry soil being blown away by the wind this is an example of

A: erosion
B: weathering
C. Deposition

Answers

Answer: A: erosion

Explanation:

The Dust Bowl was a period of severe dust storms that occurred in the central United States during the 1930s. It was caused by a combination of factors, including prolonged drought, poor farming practices, and high winds. During this period, millions of pounds of dry soil were blown away by the wind, leading to a significant loss of topsoil. This is an example of erosion.

As a boss, knowing your employees’ personality types can help you

Answers

Answer:

identify who they are as a person

Explanation:

1) If the red motorcycle and the blue motorcycle have the same speed but the red one has more mass, which one has more momentum? explain

Answers

Answer:

The blue motorcycle.

Explanation:

The red one, since it has more mass, meaning it is denser, would drag on less. Less mass equals more momentum, since there is less holding it down.

How far did the object travel from time = 0 to time =15 s 120 m. 180 m 90 m 45 m

How far did the object travel from time = 0 to time =15 s 120 m. 180 m 90 m 45 m

Answers

Answer:Position is an object’s location in relation to a reference point.

Yes. As in the movie theater example, an object can be one unit positive from the reference point and a different object can be one unit negative from the reference point. Both objects are one unit away (the same distance), but they occupy different locations in space because they are in different directions.

Distance is the total amount an object has traveled, while displacement is the shortest distance between the object’s starting and finishing point.

Distance does not have direction. Objects can be one unit away from a point in every direction. However, displacement does have a direction. Displacement is defined as a specific distance in a specific direction.

Explanation: hope it helped

helllp science ixl U.1

helllp science ixl U.1

Answers

Answer:

All of the above.

Explanation:  

                    Terms

-  Chlorophyll is the green coloring matter of leaves and plants, essential to the production of carbohydrates by photosynthesis, and occurring in a bluish-black form, C55H72MgN4O5 (chlorophyll a), and a dark-green form, C55H70MgN4O6 (chlorophyll b).

- Photosynthesis is the complex process by which carbon dioxide, water, and certain inorganic salts are converted into carbohydrates by green plants, algae, and certain bacteria, using energy from the sun and chlorophyll.

- Carbon dioxide is a colorless, odorless, incombustible gas, CO2, present in the atmosphere and formed during respiration, usually obtained from coal, coke, or natural gas by combustion, from carbohydrates by fermentation, by reaction with limestone or other carbonates, or naturally from springs: used extensively in industry as dry ice, or carbon dioxide snow, in carbonated beverages, fire extinguishers, etc.

- Water is a transparent, odorless, tasteless liquid, a compound of hydrogen and oxygen, H2O, freezing at 32°F or 0°C and boiling at 212°F or 100°C, that in more or less impure state constitutes rain, oceans, lakes, rivers, etc.: it contains 11.188 percent hydrogen and 88.812 oxygen, by weight.

- Plants cells are the cells present in green plants, photosynthetic eukaryotes of the kingdom Plantae. Their distinctive features include primary cell walls containing cellulose, hemiculloses and pectin, the presence of plastids with the capability to perform photosynthesis and store starch, a large vacuole that regulates turgor pressure, the absence of flagella or centrioles, except in the gametes, and a unique method of cell division involving the formation of a cell plate or phragmoplast that separates the new daughter cells.  

- Celluar respiration is the oxidation of organic compounds that occur within cells, producing energy for cellular processes.

- Chemical energy is the net potential energy liberated or absorbed during the course of a chemical reaction.

-------------------------------------------------------------------------------------------------

First: True

The process by which Chlorophyll is able to trap energy from Sun is called Photosynthesis, because this trapped light (Electromagnetic) energy is converted into chemical energy and stored in Glucose synthesized from carbon dioxide and water as per following reaction

6CO2 + 6H2O = -—-Light Energy---> C6H12O6+ 6O2

-------------------------------------------------------------------------------------------------------

Second: True

Plants absorb water (H2O) and carbon dioxide (CO2) from the earth and atmosphere during photosynthesis. Water is oxidized, which means it loses electrons, while carbon dioxide is reduced, which means it gets electrons, inside the plant cell. Water is converted into oxygen and carbon dioxide into glucose as a result.

----------------------------------------------------------------------------------------------------

Third: True

During the photosynthetic process in a plant cell, chloroplast produces sugar by transforming light energy into chemical energy held in glucose. The process of cellular respiration in mitochondria converts sugar into energy that plant cells can use to survive and develop.

----------------------------------------------------------------------------------------------------

Fourth: True

In the light reactions, one molecule of the pigment chlorophyll absorbs one photon and loses one electron. This electron is passed to a modified form of chlorophyll called pheophytin, which passes the electron to a quinonemolecule, allowing the start of a flow of electrons down an electron transport chain that leads to the ultimate reduction of NADP to NADPH. In addition, this creates a proton gradient across the chloroplast membrane; its dissipation is used by ATP synthase for the concomitant synthesis of ATP. The chlorophyll molecule regains the lost electron from a water molecule through a process called photolysis, which releases a dioxygen (O2) molecule. The overall equation for the light-dependent reactions under the conditions of non-cyclic electron flow in green plants is:

2 H2O + 2 NADP+ + 3 ADP + 3 Pi + light → 2 NADPH + 2 H++ 3ATP+ O2

-------------------------------------------------------------------------------------------------------

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While an object is in projectile motion (with upward being positive) with no air resistance ct is in projectile motion (with upward being positive) with no air resistance, Group of answer choices the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g. the vertical component of its velocity remains constant and the vertical component of its acceleration is equal to -g the horizontal component of its velocity remains constant and the horizontal component of its acceleration is equal to -g the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to zero. the vertical component of both its velocity and its acceleration remain constant.

Answers

Answer:

The horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.

Explanation:

This is because, the projectile has both vertical and horizontal components of velocity. But, its vertical component of velocity changes as the object moves whereas, its horizontal component of velocity remains constant.

Also, the projectile has only vertical component of acceleration and no horizontal component of acceleration since, its horizontal component of velocity remains constant. Thus, no change in the horizontal component of velocity.

The vertical component of acceleration is equal to -g since, the weight is the only vertical force acting on it.

So, the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.

A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while maintaining it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 35(degrees). A minute and a half later, after flying directly over his friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 36(degrees). At that time, what is the distance between him and his friend?

Answers

Answer: the distance between him and his friend is 218.39 feet

Explanation:

Given the data in the question;

FROM IMAGE A;

distance travelled in minute and a half

⇒ (60 + 30)sec × 4ft/sec = 360 fts

FROM IMAGE B

tan35°= h/x   --- equ 1

and tan36° = h/(360 - x), so h = (360 - x)tan36°

we substitute value of h into euq 1

tan35° = (360 - x)tan36°/x

xtan35° = (360 - x)tan36°

0.7002x = 261.5553 - 0.7265x

0.7002x + 0.7265x = 261.5553

1.4267x = 261.5553

x = 183.32 feet

so

360 - x ⇒ ( 360 - 183.32) = 176.68

FROM IMAGE C

Let the distance between them be d

so

cos36° = 176.68 / d

dcos36° = 176.68

d = 176.68 / 0.809

d = 218.39 feet

Therefore the distance between him and his friend is 218.39 feet        

 

A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while

What happens to the dewpoint temperature of a decreasing mass of air?

Answers

Answer:What happens to the dew point temperature of a descending mass of air? As air sinks, it becomes warmer. (Warmer air expands and can hold more water, therefore the dew point may increase.) ... The hot water causes condensation of water vapor as it touches the cooler mirror.

Explanation:

PLEASE ANSWER 50 points
A car manufacturer wants to change its car’s design to increase the car’s acceleration. Which changes should the engineers consider making to the design?
O increase the force that the engine provides
O decrease the force that the engine provides
O increase the mass of the car
O decrease the mass of the car
O increase the top velocity the car can travel
O decrease the top velocity the car can travel

Answers

Increase the force the engine provides and decrease the mass of the car

what is a shargaff rule

Answers

According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Who is Chargaff ?

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O
is shown.
Through which point will this ray pass, after refraction by the lens?

In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O is

Answers

The point through which this ray will pass, after refraction by the lens is point D.

What is refraction of light?

The refraction of light refers to the bending or change in direction that occurs when light passes from one medium to another. It is a phenomenon that happens due to the difference in the speed of light in different substances.

From the ray diagram given, after the light incident from point O, it will pass the converging at point D which is the focal length of the lens after refraction.

Thus, based on the converging lens given in the ray diagram, we can conclude that, the point through which this ray will pass, after refraction by the lens is point D.

So point D is the correct answer.

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An object is suspended by a string from the ceiling of an elevator. If the tension in the string is equal to 25 N at an instant when the elevator is accelerating downward at a rate of 2.0 , what is the mass of the suspended object

Answers

By Newton's second law, the net force on the object is

F = T - mg = - ma

where

T = 25 N, the tension in the string

• m is the mass of the object

• g = 9.8 m/s², the acceleration due to gravity

a = 2.0 m/s², the acceleration of the elevator-object system

Solve for m :

25 N - m (9.8 m/s²) = - m (2.0 m/s²)

==>   m = (25 N) / (9.8 m/s² - 2.0 m/s²) ≈ 3.2 kg

A person in a laboratory is asked to taste and describe her conscious experience of two different drinks. The person talks about how sweet each drink tastes to her, what the drinks remind her of, and which one she finds most pleasant.

Answers

Answer:

The laboratory testing is done on metrics. The research will help find the preference of a person among various drinks.

Explanation:

The laboratory testing is for research purposes. When a person is introduced with two different drinks he may have different experiences. The taste of two different drinks is sweet. A persons behavior towards the taste is psychological also. If he is already informed that the drinks will be sweet, he might start feeling sweeter when he tastes it even if the drink has no taste.

what is dollar effect ​

Answers

Our tendency to dislike products and services that exhaust our remaining budget.

Answer:

Above is correct

A special spring is constructed in which the restoring force is in the opposite direction to the displacement but is proportional to the cube of the displacement; i.e., F= -kx^3
this spring is placed on a horizontal frictionless surface. One end of the spring is fixed, and the other end is fastened to a mass M. The mass is moved so that the spring is stretched a distance A and then released. Determine each of the following in terms of k, A, and M
a) The potential energy in the spring at the instant the mass is released
b) the maximum speed of the mass
c) The displacement of the mass at the point where the potential energy of the spring and the kinetic energy of the mass are equal

Answers

Answer:

Explanation:

a ) Restoring force in special spring F = k x³

let it is stretched by length l and it is further stretched by dl .

work done on spring in stretching by dl

= F dl

= k l³ dl

work done in stretching by A

= ∫k l³ dl between limit 0 to A

= k [ l⁴ / 4 ] between limit 0 to A

= k A⁴ / 4 ;

b )

Let v be the maximum speed attained ,

kinetic energy of mass = potential energy of spring

1/2 M v² = k A⁴ / 4

v² = kA⁴ / 2

v = A² √( k/2 )

c ) Let the required displacement be d .

potential energy = k d⁴ / 4

at displacement d , potential energy and kinetic energy are equal so potential energy = 1 /2 of total potential energy = 1/2 x k A⁴ / 4

= k A⁴ / 8

So

k A⁴ / 8  = k d⁴ / 4

\(d = A\times ( \frac{1}{2} )^\frac{1}{4}\)

2. 0,25 moles of sodium chloride is dissolved in water to form 100 cm solution. Calculate the concentration of the solution. 3. 20 g of sodium hydroxide is dissolved in 200 cm³ of water. Calculate the concentration of the solution. 4 Calculate the mass of magnesium chloride needed to prepare 100 ml of a standard solution of​

Answers

The  concentration of the solution will be 0.25M and the concentration of the  

sodium Hydroxide is 2.5 M .

What is Stoichiometry ?

A branch of chemistry deals with the application of  the laws of definite proportions and of the conservation of mass and energy to chemical activity. The quantitative relationship between constituent in a chemical substance.  

We have given here,

Moles of sodium chloride  =  0.25moles

Let us assume the the volume of  the solution is 1 L.

Molarity = 0.25/

Molarity will be 0.25 M

The mass of sodium Hydroxide is 20g and the molar mass is 40g ,

and the Volume will be 0.2L

Molarity = 20/ 40×0.2

Molarity = 2.5 mol / L

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Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. How does the heat required for one of these processes compare to the heat required for the other process?

1. What is the starting temperature of the gas?
2. With the piston locked in place, the gas is heated until the pressure doubles. What is the final temperature?

Answers

1) The starting temperature of the gas is 288 K

b) When the pressure is doubled, the temperature is 576 K

What is the temperature?

We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;

Pressure = 200 kPa or 1.97 atm

Volume =  3000 cm3  or 3 L

Temperature = ?

Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles

Then we have;

PV = nRT

T = PV/nR

T =  1.97 * 3/0.25 * 0.082

T = 5.91/0.0205

T = 288 K

If the pressure doubles and we have;

P1/T1 = P2/T2

P1T2 = P2T1

T2 = 2(1.97) * 288/1.97

T2 = 576 K

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