A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 50 rad/s. The radius ofthewheel is 0.6m, and its moment of inertia about its rotation axis is 0.8MR2. Friction does 3000 J of work on the wheel as it rolls up the hill to a stop a height h above the bottom of the hill. Calculate h.

Answers

Answer 1

A 392 N wheel falls off a moving vehicle and rolls along a highway without slipping. It is revolving at 50 rad/s near the base of a slope. The wheel's radius is 0.6 meters, and its moment of inertia with respect to its axis of rotation is 0.8MR2. As the wheel rolls up the hill to come to a standstill h above the hill's base, friction exerts 3000 J of effort on it.  The hill is approximately 26.79 meters tall.

Finding the wheel's initial kinetic energy is the first step.

Since it is rolling without slipping, the kinetic energy is given by the sum of the translational and rotational kinetic energies:

K1 = (1/2)\(mv^2\) + (1/2)Iω\(^2\)

where m is the mass of the wheel, v is its linear velocity, I is its moment of inertia about its rotation axis, and ω is its angular velocity.

We can use the fact that the wheel is rotating at 50 rad/s at the bottom of the hill to find ω. The linear velocity of the wheel can be found from its angular velocity using the formula v = ωr, where r is the radius of the wheel. Thus:

v = ωr = 50 rad/s * 0.6 m = 30 m/s

The mass of the wheel can be found from its weight using the formula:

F = ma

where F is the weight of the wheel (392 N), and a is its acceleration. Since the wheel is not accelerating vertically, we have:

F = mg

where g is the acceleration due to gravity. Solving for m, we get:

m = F/g = 392 N/9.81 \(m/s^2\) = 40 kg

The moment of inertia of the wheel about its rotation axis is given as 0.8MR^2, where M is the mass of the wheel and R is its radius. Thus:

I = \(0.8MR^2\)= 0.8 * 40 kg *\((0.6 m)^2\) = 11.52 kg \(m^2\)

Substituting the values we have found into the expression for K1, we get:

K1 = \((1/2)mv^2\) + (1/2)Iω\(^2\)

= \((1/2)(40 kg)(30 m/s)^2 + (1/2)(11.52 kg m^2)(50 rad/s)^2\)

= 13500 J

The work done by friction is given as 3000 J. Since the wheel comes to a stop at the end of the hill, all of the initial kinetic energy is converted into potential energy:

K1 - Wf = mgh

where h is the height of the hill. When we substitute the values we discovered, we obtain:

13500 J - 3000 J = (40 kg)gh

Solving for h, we get:

h = (10500 J)/(40 kg * 9.81 \(m/s^2\)) = 26.79 m

Therefore, the height of the hill is approximately 26.79 meters.

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Related Questions

A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown below. What is the displacement of the boat between 0s and 16s? What is the distance traveled by the boat between 0s and 16s?

Answers

Answer:

displacement=-21

distance=39

Explanation:

Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan

Answers

SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-

They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.

Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.

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how much electric potential energy does 1.8 μcμc of charge gain as it moves from the negative terminal to the positive terminal of a 1.6 vv battery?

Answers

Charge gains 2.88 × 10^-6 J of electric potential energy as it moves from the negative terminal to the positive terminal of a 1.6 V battery.

A more detailed explanation of the answer.

When 1.8 μC of charge moves from the negative terminal to the positive terminal of a 1.6 V battery, it gains electric potential energy. The electric potential energy gained by the charge can be calculated using the formula:

Electric potential energy = charge × voltage

The charge is 1.8 μC and the voltage is 1.6 V, so substituting these values into the formula gives:

Electric potential energy = 1.8 μC × 1.6 V= 2.88 × 10^-6 J

Therefore, 1.8 μC of charge gains 2.88 × 10^-6 J of electric potential energy as it moves from the negative terminal to the positive terminal of a 1.6 V battery.

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A bird is standing on an electric transmission line carrying a large amount of current. Find the power dissipated by the bird If the
current it experiences is 1.35^-10 A which results in a potential difference of .0054V.

Side Note:
(I know the answer is 7.3 x 10^-11 W, I just don’t know how to get it)

Answers

P = 7.3 × 10^-13 Watt

Explanation:

First of all, are you sure that what you have is the right answer?

Anyway, the definition of power dissipated is given by

P = I^2×R

where I is the current and R is the resistance. But we also know from Ohm's law that

V = IR

so we can rewrite the equation for power P as

P = I^2R = I(IR) = VI

= (0.0054 volt)(1.35 × 10^-10 A)

= 7.3 × 10^-13 Watt

HELP!!! When fat comes in contact with sodium hydroxide, it produces soap and glycerin. Determine whether this is a physical change or a chemical change. Explain your answer.

Answers

Answer:it's a chemical change.physical changes occur without 2 or more reactants,a reaction,and a product

Explanation:

the speed of light in empty space is approximately 300,000km/s. how many seconds would it take a pulse of light at this speed to get from the earth to the moon? assume that the distance from the earth to the moon is 384,400 km. choose the closest answer:

Answers

Answer:

Below

Explanation:

384 400 km / 300 000 km/s = 1.28 seconds

An airplane travels 640 miles from topeka to houston in 3. 2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.

Answers

When an airplane travels 640 miles from Topeka to Houston in 3. 2 hours, going against the wind. The return trip is with the wind and takes only 2 hours. Then the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr

Let Va is the velocity of the airplane

Va is the velocity of the wind

When flying against the wind then

(Va+Vw)*(3.2 hours) = 640

3.2Va + 3.2Vw = 640

3.2Vw = 640 - 3.2Va

Vw = 200 - Va----------------(1)

When flying with the wind:

(Va-V)*(2 hours) = 640km

2Va - 2Vw = 640

Va - Vw = 320 ----------------(2)

Putting the value of VW in equation (2) we get

Va - (200-Va) = 320

2Va = 320 +200

2Va = 520

Va = 260

Putting this value in equation (2)

Vw =Va - 360

Vw = 100

Therefore the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr

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What property of matter is most responsible for the fact that sound travels at different speeds through different materials?.

Answers

Answer:

density

Explanation:

higher density ===> higher propagation speed

A 0. 013 kg rubber stopper is attached to a 0. 93 m length of string. The stopper is swung in a horizontal circle, making one revolution in 1. 18 s. Find the centripetal acceleration of the rubber stopper

Answers

The centripetal acceleration of the rubber stopper is 0.34 N. The explanation is as follows.

What is a circular motion?

An object’s position relative to the center of a circle is given by the position vector, r. As the object moves, the length of the vector remains constant, but the direction changes. Velocity is displacement over time. So, displacement would be Δr. Recall that average velocity is Δd/Δt, so for circular motion

Given,

m = 13g

T = ?

r = 0.93m

Calculations:

\(a=4\pi ^{2} r/T\)

\(a=4(3.14)^{2} (0.93m) / (1.18s)^2=26m/s^{2}\)

T= ma= (0.013kg) (26 m/\(s^{2}\))

T = 0.34 N

* Note for force in N, mass must be in kg.

What is centrifugal Force?

If forces come in pairs, is there an “outwardforce” causing the stopper to stay out there at the end of the string? When a car turns left sharply, is there a force causing a passenger to move toward the door? NO! Newton’s first law says an object in motion continues… This outward motion is simply the inertia of the object and this “centrifugal force” is FICTITIOUS!

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rite the final form of the differential mass balance equation for the system b) starting from the differential mass balance equation for the system, derive the corresponding difference mass balance equation

Answers

(a)dM/dt = M(out) - M This equation represents the rate of change of mass. (b) ΔM = (M(out) - M) × Δt This equation represents the change in mass (ΔM) during the time interval Δt.

a) The final form of the differential mass balance equation for the system can be written as follows:

dM/dt = M(out) - M

This equation represents the rate of change of mass inside the system (dM/dt) as the difference between the mass flowing out of the system (M(out)) and the mass inside the system (M).

b) To derive the corresponding difference mass balance equation from the differential equation, we need to discretize the equation in time. Let's assume a small time interval Δt. We can approximate the time derivative dM/dt as ΔM/Δt, and rewrite the differential mass balance equation as:

ΔM/Δt = M(out) - M

Now, let's rearrange the equation to solve for ΔM:

ΔM = (M(out) - M) × Δt

This equation represents the change in mass (ΔM) during the time interval Δt. It states that the change in mass is equal to the difference between the mass flowing out of the system (M(out)) and the mass inside the system (M), multiplied by the time interval Δt.

This is the corresponding difference mass balance equation, which relates the change in mass over a discrete time interval to the mass flow rates in and out of the system.

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--The question is incomplete, the given question is:

"Consider the system described below. M - м V M(out) System a) Write the final form of the differential mass balance equation for the system b) Starting from the differential mass balance equation for the system, derive the corresponding difference mass balance equation."--

When 10 grams of hot water cool by 1°C, the amount of heat given off is

A) 41.9 calories.
B) 41.9 Calories.
C) 41.9 joules.
D) more than 41.9 joules.
E) none of the above

Answers

At 10 grams of hot water cool by 1°C, the amount of heat given off is A.  41.8 joules (the closest option is A) 41.9 calories).

When 10 grams of hot water cools by 1°C, the amount of heat given off can be calculated using the specific heat capacity of water. The specific heat capacity of water is approximately 4.18 J/g°C.

To calculate the amount of heat given off, we can use the formula:

Q = m * c * ΔT

Where:

Q is the amount of heat given off (in joules),

m is the mass of the water (in grams),

c is the specific heat capacity of water (in J/g°C), and

ΔT is the change in temperature (in °C).

Substituting the given values into the formula, we get:

Q = 10 g * 4.18 J/g°C * 1°C

Q = 41.8 J

Therefore, the amount of heat given off is approximately 41.8 joules.

None of the provided answer choices exactly matches the calculated value, but the closest option is A) 41.9 calories. Please note that 1 calorie is equivalent to approximately 4.18 joules. Therefore, Option A is correct.

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I NEED THIS ANSWER QUICK!

About how much precipitation in the water cycle occurs over the ocean?
A) 15 percent
B) 50 percent
C) 78 percent
D) 100 percent

Answers

Answer:

Hello, I'm here to help you.

↬ 78%

Explanation:

↬ Think that about 70% of the area of the earth is covered by the ocean.

↬ So the precipitation that falls on it is a smiliar percentage.

When you put a 9. 0 V battery across a bulb, 0. 1 A of current

flows through the bulb. Calculate the resistance of the bulb

Answers

When a 9.0 V battery is connected to a bulb and 0.1 A of current flows through it, the resistance of the bulb is 90 ohms.

When a 9.0 V battery is connected to a bulb and 0.1 A of current flows through the bulb, we can calculate the resistance of the bulb using Ohm's Law. Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance.

To find the resistance, we can rearrange Ohm's Law equation (V = IR) to solve for R, where V is the voltage, I is the current, and R is the resistance.

First, let's plug in the given values:

V = 9.0 V (voltage)
I = 0.1 A (current)

Now, we can rearrange the equation to solve for R:

R = V / I

Substituting the given values:

R = 9.0 V / 0.1 A

Dividing 9.0 V by 0.1 A, we get:

R = 90 ohms

Therefore, the resistance of the bulb is 90 ohms.

In summary, when a 9.0 V battery is connected to a bulb and 0.1 A of current flows through it, the resistance of the bulb is 90 ohms.

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(No links, if you aren’t gonna answer here don’t answer at all.)
Which of the following statements are true about whether atoms tend to gain
or lose electrons?

A. Atoms with one, two, or three valence electrons will lose
electrons.
B. Atoms with five, six, or seven valence electrons will lose
electrons.
C. Atoms with four valence electrons will always gain electrons.
D. Atoms with eight valence electrons usually do not gain or lose
electrons.

Answers

Answer:

D. Atoms with eight valence electrons usually do not gain or lose

electrons.

Explanation:

An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such defines the structure of a chemical element.

Generally, these atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.

Valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.

Based on the octet rule which states that atoms of chemical elements gain, lose or share electrons so as to have eight (8) electrons in their valence shell. Therefore, atoms of chemical elements bond in order to attain the electronic configuration of a noble gas i.e a full valence shell which comprises of eight (8) electrons.

This ultimately implies that, atoms with eight valence electrons usually do not gain or lose electrons because they're noble gas.

Can you help me with this please

Can you help me with this please

Answers

According to the information, we can infer that the correct sentence is: A mosquito flying with a velocity of 5 m/s (option C).

What is the momentum?

Momentum is a term that refers to a physical property of moving objects. Momentum is a measure of the amount of motion a moving object has and is related to the mass and velocity of the object.

Based on the above, we can infer that the correct option is correct because the fly would have more momentum than the other objects because its mass is less W

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A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) What was the photon's energy (in eV)? _________eV (b) Later, the atom returns to the ground state, emitting one or more photons in the process. Which of the following energies describes photons that might be emitted thus? (Select all that apply.) O 1.89 ev O 12.1 eV O 10.2 ev O 13.6 ev

Answers

A hydrogen atom is in its ground state (nᵢ = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the nf = 3 state. (a) The photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).(b)option B and C are correct.

To determine the photon's energy and the energies of photons that might be emitted when the hydrogen atom returns to the ground state, we can use the energy level formula for hydrogen atoms:

E = -13.6 eV / n^2

where E is the energy of the electron in the atom, and n is the principal quantum number.

(a) To find the energy of the photon that was absorbed by the hydrogen atom to raise it from the ground state (nᵢ = 1) to the nf = 3 state, we need to calculate the energy difference between the two states:

ΔE = Ef - Ei = (-13.6 eV / 3^2) - (-13.6 eV / 1^2)

Calculating the value of ΔE:

ΔE = -13.6 eV / 9 + 13.6 eV

= -1.51 eV

Therefore, the photon's energy that was absorbed is approximately 1.51 eV (negative sign indicates absorption).

(b) When the hydrogen atom returns to the ground state, it can emit photons with energies corresponding to the energy differences between the excited states and the ground state. We need to calculate these energy differences and check which values are present among the given options.

ΔE1 = (-13.6 eV / 1^2) - (-13.6 eV / 3^2) = 10.20 eV

ΔE2 = (-13.6 eV / 1^2) - (-13.6 eV / 4^2) = 10.20 eV

ΔE3 = (-13.6 eV / 1^2) - (-13.6 eV / 5^2) = 12.10 eV

ΔE4 = (-13.6 eV / 1^2) - (-13.6 eV / 6^2) = 12.10 eV

ΔE5 = (-13.6 eV / 1^2) - (-13.6 eV / 7^2) = 13.55 eV

ΔE6 = (-13.6 eV / 1^2) - (-13.6 eV / 8^2) = 13.55 eV

ΔE7 = (-13.6 eV / 1^2) - (-13.6 eV / 9^2) = 13.55 eV

Comparing the calculated energy differences with the given options:

(A) 1.89 eV: This energy difference does not match any of the calculated values.

(B) 12.1 eV: This energy difference matches ΔE3 and ΔE4.

(C) 10.2 eV: This energy difference matches ΔE1 and ΔE2.

(D) 13.6 eV: This energy difference does not match any of the calculated values.

Therefore option B and C are correct.

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If a person is walking at 4 m/s, how far can he travel in 30 seconds

Answers

Answer:

120 m

Explanation:

Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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PLEASE HELP!!

A fisherman pulls a boat towards land,
The forces acting on the boat are shown in Diagram 1
The fisherman exerts a force of 300 N on the boat
The sea exerts a resistive force of 250 N on the boat.
Diagram 1
250N
300N

Describe the motion of the boat.​

PLEASE HELP!!A fisherman pulls a boat towards land,The forces acting on the boat are shown in Diagram

Answers

Answer:

The boat will move in the direction of the force exerted.

Explanation:

To describe the motion of the boat, we shall first obtain the net force acting on the boat. This can be obtained as illustrated below:

From the question given above, the following data were obtained:

Force exerted (Fₑ) = 300 N

Resistive force (Fᵣ) = 250 N

Net force (Fₙ) =?

Fₙ = Fₑ – Fᵣ

Fₙ = 300 – 250

Fₙ = 50 N

Thus, the net force acting on the boat is 50 N in the direction of the force exerted.

Since the net force is in the direction of the force exerted, the boat will move in the direction of the force exerted..!

Consider a population of 20,000 individuals at Hardy-Weinberg equilibrium. There are two loci, each with two alleles, in linkage equilibrium with one another. - At the first locus the alleles "A" and "e" cause two distinct phenotypes; individuals who are "AA" or "Ae" are Alabaster whereas individuals who are "ee" are ebony. - At the second locus the alleles "L" and "S" cause three distinct phenotypes. Individuals who are "LL" are large, individuals who are "LS" are medium and individuals who are "SS" are small. If we determine that there are 1512 alabaster large and 288 ebony large individuals: (a) What is the frequency of the "A" allele? Round to nearest 0.001. (b) How many copies of the "e" allele exist in the population? Round to nearest integer. (c) What proportion of the population are ebony medium individuals? Round to nearest 0.001. (d) How many individuals will be heterozygous at both loci? Round to nearest integer. (e) How many individuals will be homozygous at both loci? Round to nearest integer.

Answers

To solve this problem, we'll need to apply the Hardy-Weinberg equations and use the given information to calculate the frequencies of alleles and genotypes.

Let's start with the first locus:

(a) Let p be the frequency of the "A" allele. According to the Hardy-Weinberg equilibrium, the frequency of the "e" allele (q) can be calculated as 1 - p.

Given that there are 1512 Alabaster individuals, we can set up the following equation:

p² × 20,000 = 1512

Solving for p, we have:

p² = 1512 / 20,000

p² = 0.0756

p ≈ √0.0756

p ≈ 0.275

Therefore, the frequency of the "A" allele is approximately 0.275.

(b) To determine the number of copies of the "e" allele, we can multiply the frequency of the "e" allele (q) by the total population size (20,000). Since q = 1 - p, we have:

q = 1 - 0.275

q ≈ 0.725

Number of "e" alleles = q × 20,000

Number of "e" alleles ≈ 0.725 × 20,000

Number of "e" alleles ≈ 14,500

Therefore, there are approximately 14,500 copies of the "e" allele in the population.

Moving on to the second locus:

(c) We are given that there are 288 ebony large individuals. These individuals are "ee" at the first locus and "LL" or "LS" at the second locus.

Let's assume p₁ is the frequency of the "L" allele and q₁ is the frequency of the "S" allele at the second locus. The total number of individuals with the "ee" genotype at the first locus is equal to the number of ebony large individuals.

Therefore, the equation becomes:

q²₁ × 20,000 = 288

Solving for q₁, we have:

q²₁ = 288 / 20,000

q₁ ≈ √0.0144

q₁ ≈ 0.12

The frequency of the "S" allele (q₁) is approximately 0.12.

Since the "ee" individuals can be either "LS" or "SS" at the second locus, we need to consider both possibilities. The proportion of the population that is ebony medium can be calculated as follows:

Proportion of ebony medium individuals = 2pq₁ × 20,000

Proportion of ebony medium individuals ≈ 2 × 0.275 × 0.12 × 20,000

Proportion of ebony medium individuals ≈ 132

Therefore, the proportion of the population that is ebony medium is approximately 0.132.

(d) To determine the number of individuals heterozygous at both loci, we can multiply the frequencies of the heterozygous genotypes at each locus:

Number of heterozygous individuals = 2pq × 2pq₁ × 20,000

Number of heterozygous individuals ≈ 2 × 0.275 × 0.725 × 2 × 0.275 × 0.12 × 20,000

Number of heterozygous individuals ≈ 528

Therefore, there are approximately 528 individuals heterozygous at both loci.

(e) To calculate the number of individuals homozygous at both loci, we can use the frequency of the homozygous genotypes at each locus:

Number of homozygous individuals = p² × q²₁ × 20,000

Number of homozygous individuals ≈ 0.275² × 0.12² × 20,000

Number of homozygous individuals ≈ 12

Therefore, there are approximately 12 individuals homozygous at both loci.

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which weather change usually occurs when the difference between the air temperature and the dewpoint temperature is decreasing

Answers

Answer:

relative humidity increases

Explanation:

hope this helps:)

Squeezing due to differences in the gravitational force of the moon at different points on earth causes

Answers

Answer:

the most important effect of the gravitational force is the change in the tide.

Explanation:

The gravitational force between the Moon and the Earth is given by

        F = G m M / r2

where m is the mass of the Moon, M the mass of the Earth, and r the distance between the two.

The magnitude that changes in this formula is the distance between the Moon and the Earth, due to the lunar rotation, at the points of maximum approach in the periods of high tide and in the periods of greater distance the tide is low.

It should be mentioned that the earth's crust is also affected, but its movement is much less than that of water, which is why in almost all cases it is taken as fixed.

Lately it has also been analyzed that the Earth-Moon structure creates greater stability in the rotation of the two bodies.

Consequently the most important effect of the gravitational force is the change in the tide.

Are carbon compounds rigid and strong

Answers

yes, but it takes a lot of energy to break all those iconic bonds .

How much Kinetic Energy does a 1.5 kg book at rest on top of a 2.3 m tall desk have?

Answers

A book falls off of a \displaystyle 2.2m high    table. If the book weighs \displaystyle 0.75kg, what will its    final velocity be right before it hits the ground?

What is the effect of using split rings in a simple d.c generator

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Answer:

Hence, The effect of using split rings in a simple DC motor is that the direction of the current flowing in the coil is reversed.

+
figure A
figure B
figure C
figure D
Which figure shows a correct pattern of electric field lines?

+figure Afigure Bfigure Cfigure DWhich figure shows a correct pattern of electric field lines?

Answers

Answer: figure A

Explanation:
Electric field lines point away from positive charges (like charges repel) and towards negative charges (unlike charges attract). ... Field lines do not touch or cross each other. Field lines are drawn perpendicular to a charge or charged surface. The greater the magnitude of the charge, the stronger its electric field.

Figure B shows a positive charge but has a negative field line so that’s wrong.

Figure C shows a negative charge but has a positive field line so that’s wrong.

Figure D shows a negative charge but has no perpendicular field lines so that’s wrong.

Explain your thinking. What definition, rule, or reasoning did you use to decide

whether something is a solid?

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Answer:

Explanation:

A Solid is one of the three main states of matter. By definition a solid is something whose molecules are so densely packed together that it allows it to keep its shape. Therefore if the item has a definite shape that does not change on it's own it is a solid. As opposed to a liquid which will take and fill the shape of it's container.

5. A family leaves for an evening walk around the neighborhood. They leave at 5 pm and return at 6 pm. They traveled a total of 2.5 miles. What is their average speed?

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This question involves the concepts of average speed, distance, and time.

The average speed of the family is "2.5 mi/hr".

AVERAGE SPEED

The average speed is defined as the ratio of the total distance covered with the total time taken to cover it.

\(v=\frac{s}{t}\)

where,

s = distance covered = 2.5 milest = total time taken = 1 hourv = average speed = ?

Therefore,

\(v=\frac{2.5\ mi}{1\ hr}\)

v = 2.5 mi/hr

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Planet Force (N) Mass (kg)
A 8.0 0.50
B 30 3.0
C 45 3.0
D 60 6.0
The gravitational force acting on various masses is measured on different planets. Measured values for the forces acting on the corresponding masses are shown in the data table. Analyze the data and develop a method for comparing the gravitational field strengths on the different planets. Use your method to compare the gravitational field strengths, and report your conclusions.

Answers

From the analysis, it can be concluded that planet A has the strongest gravitational field, followed by planet C, and planets B and D have the same gravitational field strength.

The gravitational force acting on various masses is measured on different planets. The table shows the measured values for the forces acting on the corresponding masses:Planet Force (N) Mass (kg)A 8.0 0.50B 30 3.0C 45 3.0D 60 6.0

Method for comparing the gravitational field strengths on the different planets:First, we can use the formula for calculating gravitational force: \(`F = G (m_1m_2 / r^2)`\)where G is the universal gravitational constant `\(6.67 * 10^{-11 }Nm^2/kg^2\), m1 and m2 are the masses of the two objects in kg, and r is the distance between the centers of the objects in meters.

We know that the force is proportional to mass (F = ma). So we can calculate the acceleration due to gravity (g) on each planet by dividing the force by the mass. Therefore, we can use the formula: `g = F / m`.

Comparing the gravitational field strengths on the different planets:We will calculate the acceleration due to gravity (g) on each planet.

For planet A: `

g = F / m

= 8.0 N / 0.50 kg

= 16 \(m/s^2\)`

For planet B: `g = F / m

= 30 N / 3.0 kg

= 10 \(m/s^2\)

For planet C: `g = F / m

= 45 N / 3.0 kg

= 15 \(m/s^2\)

For planet D: `g = F / m

= 60 N / 6.0 kg

= 10 \(m/s^2\)

`So we see that planet A has the strongest gravitational field, followed by planet C, then planet B and planet D have the same gravitational field strength.

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a car with a mass of 1,100 kg is moving down the highway with an applied force (force of the engine) of 2,450 N and a friction force of 825 N. What is the cars acceleration

Answers

Explanation:

2.23 m/s^2 squared yung 2

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