What is the final velocity if you have an initial velocity of 4 m/s with an acceleration of 2 m/s2 over 5 second interval interval

Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists: 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

Acceleration due to gravity exists as the acceleration gained by an object due to gravitational force.

Its SI unit exists m/s2. It contains both magnitude and direction.

The planet would be a space probe with a mass of 250Kg

The distance is 25m.

Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists m = 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

Therefore, the correct answer is option D. Uranus

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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The third rule of a series circuit states that the sum of the individual voltages equals the total voltage.

These demonstrate the truth of the previous claim, which reads, "When voltage sources are connected in series, the overall voltage is equal to the algebraic sum of the individual voltages?"

The supply voltage is equal to the total of the component voltages in a series circuit. The voltages across each component in a series circuit are proportional to their resistances. This means that when two similar components are linked in series, the supply voltage is divided equally.

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when two vectors are in the parallel or anti-parallel, we use addition to find the resultant vector.

Vectors are added together to find the outcome. The trig functions can be used to calculate the magnitude of the new vector by adding the x and y components of each vector.

When the tails of two vectors are linked at a common point, the parallelogram law of vector addition is used to add the two vectors. The resultant vector is then obtained by subtracting the two vectors' opposite directions from one another. The vector R in this situation is the result of the vector B's direction opposite that of the vector A's.

Therefore, In the case of parallel or anti-parallel two vectors, the resultant vector's magnitudes are equal to the sum of the magnitudes of the two vectors.

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a. Savannah would debit retained earnings and credit dividends payable for the declaration of a cash dividend, and debit dividends payable and credit cash for the payment, b. To declare and pay a stock dividend, Savannah would debit retained earnings and credit common stock dividend distributable for declaration, then debit common stock dividend distributable and credit common stock for payment, and c. Dividends payable to shareholders like Elena and Josh can be computed by multiplying the number of shares owned by the dividend per share.

Dividends Payable is a liability account used to record the amount of dividends that a company owes to its shareholders but has not yet paid out. It represents the obligation of the company to pay out the declared dividend amount to its shareholders, and the balance is typically cleared out when the dividend payment is made. Companies usually set a record date and payment date to declare and pay dividends respectively.

a. To journalize the declaration and payment of the cash dividend, Savannah would make the following entries:

Declaration:

Debit: Retained Earnings

Credit: Dividends Payable

Payment:

Debit: Dividends Payable

Credit: Cash

b. To journalize the declaration and payment of the stock dividend, Savannah would make the following entries:

Declaration:

Debit: Retained Earnings

Credit: Common Stock Dividend Distributable (70,000 x 5% = 3,500 shares)

Payment:

Debit: Common Stock Dividend Distributable

Credit: Common Stock ($7.25 x 3,500 shares)

c. To compute the dividends payable to Elena and Josh, we would use the following formula:

Dividends Payable = Number of Shares x Dividend per Share

For Elena:

Dividends Payable = 300 shares x $0.10 per share = $30.00

For Josh:

Dividends Payable = 75 shares x $0.10 per share = $7.50

Therefore, To declare and pay a cash dividend, Savannah would debit retained earnings and credit dividends payable for declaration, and debit dividends payable and credit cash for payment. To declare and pay a stock dividend, Savannah would debit retained earnings and credit common stock dividend distributable for declaration, then debit common stock dividend distributable and credit common stock for payment. Dividends payable to shareholders like Elena and Josh can be computed by multiplying the number of shares owned by the dividend per share.

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The disadvantages of simple cell are: It is not rechargeable. The battery needs to be disposed of after all the power has been used up. It can't produce electricity anymore. That is why, why think before you use a simple cell.​

A battery designed to be used only once is called a simple cell.  Small gadgets used in the house are frequently powered by simple cells.

The benefits of a simple cell include:

Among the drawbacks of a simple cell are:

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(i) The work done on the point charge by the electric force when moved from A to B is 2.1 x 10⁻⁶ J.

(ii) The work done on the point charge by the electric force when moved from A to C is -5.5 x 10⁻⁶ J.

The work done by an electric force is equal to the negative of the change in potential energy, which is given by the product of the charge and the change in potential. The change in potential between two points is equal to the potential difference between those points.

For (i), the potential difference between A and B is 6 V, so the work done is (3.9 x 10⁻⁷ C) x (-6 V) = -2.1 x 10⁻⁶ J (negative because the charge moves from higher to lower potential).

For (ii), the potential difference between A and C is -15 V, so the work done is (3.9 x 10⁻⁷ C) x (-(-15 V)) = -5.5 x 10⁻⁶ J (negative because the charge moves from lower to higher potential).

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The average speed of the whole journey is 54 mph.

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Answer:

B. It is directly proportional to the source charge.

Explanation:

Gauss's law states that the total (net) flux of an electric field at points on a closed surface is directly proportional to the electric charge enclosed by that surface.

This ultimately implies that, Gauss's law relates the electric field at points on a closed surface to the net charge enclosed by that surface.

This electromagnetism law was formulated in 1835 by famous scientists known as Carl Friedrich Gauss.

Mathematically, Gauss's law is given by this formula;

ϕ = (Q/ϵ0)

Where;

ϕ is the electric flux.

Q represents the total charge in an enclosed surface.

ε0 is the electric constant.

Hence, the statement which is true of the electric field at a distance from the source charge is that it is directly proportional to the source charge.

The work done by the lift with a mass of 1050 kg and a gravitational field strength is 10 N/kg and a height of 15m is 157.5kJ

The work done is the amount of work done in lifting the object to a certain distance. The work done is the product of mass, gravitational field, and height.

Work done = m×g×h

mass (m) = 1050 kg

        g     = 10 N/kg

height (h) = 15m

W = m×g×h

   = 1050×10×15

  = 157.5 kJ

Thus, the work done(W) = 157.5 kJ.

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Answer:

52,163.1

Explanation:

The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Answer:

Explanation:

i.  CW moment = 10 N (10 cm) + 30 N (30 cm) - 60 N (40 cm) = - 1400 N-cm

ii.  ACW momenet = 60 N (40 cm) - 10 N (10 cm) + 30 N (30 cm) = 1400 N-cm

iii.  No. The lever is not balanced in the situation. Because the moment is ± 1400 N-cm.  if balance, the moment must be Zero.

iv.   the location of 10N by keeping the other loads unchanged to balance the lever is 150 cm

take moment from Δ (support)

60(40) = 10(x) + 30(30)

2400 = 10x + 900

10x = 2400 - 900

10x = 1500

x = 1500/10

x = 150 cm  

therefore, the location of 10N by keeping the other loads unchanged to balance the lever is 150 cm

Answer:

4.9 m/s²

Explanation:

Let T be the tension in the string

If a is the linear acceleration in the direction of the 3M mass, the equation of motion on the 3M mass is

3Mg - T = 3Ma  (1)

Since the mass M moves upwards, its equation of motion is

T - Mg = Ma      (2)

From (2)

T = Ma + Mg

substituting T into (1), we have

3Mg - (Ma + Mg) = 3Ma

3Mg - Ma - Mg = 3Ma

collecting like terms, we have

3Mg - Mg = 3Ma + Ma

2Mg = 4Ma

dividing both sides by 4M, we have

2Mg/4M = 4Ma/4M

g/2 = a

a = g/2

Since g = 9.8 m/s²,

a = 9.8 m/s²/2

a = 4.9 m/s²

The linear acceleration 'a' of the masses M and 3M is; a = 4.9 m/s²

We are told that;

Mass of first block = M

Mass of second block = 3M

Let the tension in the strings be T.

Now for first block we can write;

T - Mg = Ma - - - (1)

For second block, we can write;

3Mg - T = 3Ma - - - (2)

Where a is linear acceleration of the masses.

Let us add eq 1 to eq 2 to get;

T - Mg + 3Mg - T = Ma + 3Ma

2Mg = 4Ma

M will cancel out to get;

2g = 4a

Using division property of equality by dividing both sides by 2 to get;

g = 2a

Thus;

a = g/2

Where g is acceleration due to gravity = 9.8 m/s²

Thus;

a = 9.8/2

a = 4.9 m/s²

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The electron must be placed at a distance of 3.734×10^-5 m from the point charge q in the opposite direction of the gravitational force.

To find the position where the electric force on the electron is exactly opposite to its weight, we need to set up the equation for the electric force and weight and solve for the position.

The electric force (Fe) between the point charge q and the electron is given by Coulomb's law:

Fe = (1/4πε₀) * (q * e) / r²

where  

ε₀ is the electric constant,

r is the distance between the two charges, and

e is the charge of the electron.

The weight (Fg) of the electron is given by:

Fg = m * g

where

m is the mass of the electron and

g is the acceleration due to gravity.

We want to find the distance r where

Fe = -Fg

So we have:

|Fe| = |Fg|

(1/4πε₀) * (q * e) / r² = m * g

Solving for r, we get:

r = sqrt[(1/4πε₀) * (q * e) / (m * g)]

Plugging in the values for the constants and the given charge and mass, we get:

r = sqrt[(1/4π * 8.99×10^9 N⋅m²/C²) * (0.55×10^-9 C * 1.60×10^-19 C) / (9.11×10^-31 kg * 9.81 m/s²)]

r = 3.734×10^-5 m

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The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.

Let's break down the distances and calculate the time for each part of the journey:

Distance from the student to the first cliff: 330 meters

Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second

Distance from the first cliff to the second cliff: 990 meters

Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds

Distance from the second cliff back to the student: 990 meters

Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds

Now, we can calculate the total interval between the first and second echo by adding up the individual times:

Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds

Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.

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Note the complete questions is:

A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?

When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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Answer:

I think its d

Explanation:

I'm not sure I'm sorry if I'm wrong

Answer:

true

Explanation:

the sun warms the atmosphere and warms the air which drives our weather

Answer:

liquids

Explanation

Answer: I looked it up and it says something about the waves traveling in a solid but I don’t know if that’s correct.

Answer:

all of the above

Explanation:

Gases help with the waves temperature, Solids help with the form of the wave, and liquids help with the amount of things are in the oceans wave.

In proposal writing here are a few tips and an example of how to write one financial and Marketing Consultancy.

Proposal for Financial and Marketing Consultancy Services

Dear Abagpay Fantic Company,

I am writing to propose my services as a financial and marketing consultant for your organization. Abagpay Fantic Company is a growing organization with great potential, and I am confident that I can provide valuable assistance in your company's growth and success.

Abagpay Fantic Company has the potential to become a leader in the market, but it requires strategic planning and effective marketing strategies to achieve its goals. My expertise in financial management and marketing will provide the necessary guidance to achieve these objectives.

As a financial consultant, I will analyze your financial statements and provide recommendations for managing your cash flow, reducing costs, and increasing revenue. I will also help you develop a financial plan that aligns with your company's goals.

As a marketing consultant, I will develop a comprehensive marketing plan that will increase brand awareness, attract new customers, and retain existing ones. I will also analyze your target market and develop strategies that will increase your market share and profitability.

Our contributions to your organization will include providing regular financial reports and monitoring your company's financial performance. We will also provide market research and analysis to keep you informed of industry trends and competitor activities.

In the short term, our goals are to increase your company's revenue and profitability by implementing effective financial management and marketing strategies. We will also work towards increasing customer satisfaction and loyalty through excellent customer service and effective marketing campaigns.

Our consultancy fees will be reasonable and competitive, and we are open to negotiation based on the specific needs of your organization. Our remuneration will be based on an agreed-upon hourly rate or a project-based fee.

In conclusion, I am confident that my expertise in financial management and marketing will provide your organization with the necessary guidance to achieve its goals. I look forward to the opportunity to discuss this proposal with you in further detail.

Thank you for considering my proposal.

Sincerely,

[Your Name]

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The difference is (80 dB - 40 dB) = 40 dB.

The sound is 40 dB louder outside.

Each 10 dB means 10 times more sound power.

40 dB louder means 10x10x10x10 times more sound power.

That's 10,000 times more sound power outside than inside.

The volume of the air bubble just below the surface of the lake would be 0.000015 m³  = 1.5 cm³.

V₁ = 1.5 cm³

P₁ = ρg(10) = (1000 kg/m³ * 9.8 m/s² * 10 m)

To convert V₁ to m³:

Volume₁ = 1.5 cm³ * (1 m / 100 cm)³ = 0.000015 m³

we then substitute the values into the equation:

Volume ₂ = 0.000015 m³ * (P₂ / (1000 kg/m³ * 9.8 m/s² * 10 m))

Pressure ₂ = ρg(10) = (1000 kg/m³ * 9.8 m/s² * 10 m)

We then substitute the value of P₂ into the equation for Volume 2:

V₂ = 0.000015 m³ * ((1000 kg/m³ * 9.8 m/s² * 10 m) / (1000 kg/m³ * 9.8 m/s² * 10 m))

Volume₂ = 0.000015 m³

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Answer:

Explanation:

Given:

X(t) = 3 - 2*t + 3*t²

t = 3 s

_______________

V(t) - ?

a(t) - ?

Speed is the first derivative of the coordinate, acceleration is the second.

1)

V(t) = X' =  (3 - 2*t + 3*t²)' = 0 - 2 +6*t = 6*t - 2

V(3) =  6*3 - 2 = 16 m/s

2)

a(t) = X'' = V' = (6*t - 2)' = 6 m/s²

a(3) = 6 m/s²

3)

The body will stop (V = 0 ) in (t) seconds:

V(t) = 6*t - 2

0 = 6*t - 2

6*t = 2

t = 2/6 = 1/3 ≈ 0,33 s

B. The reactants have higher potential energy, and energy is absorbed is the statement that best describes the total energy change of the system.

The difference in the amounts of chemical energy that are stored in the products and reactants accounts for the energy change in a chemical reaction. Enthalpy refers to the system’s heat content or stored chemical energy.

Potential energy can be described as the energy which a body possess because of its position. The potential energy can also be said as stored energy. The energy diagram that shows the changes in energy is called as a chemical reaction.

Potential energy and the Reaction progress are shown in the problem and from this the reactants are seen as the substance which reacts and form one or more than one product.

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Answer:

2 m/s

Explanation:

The first part of the question the car is going in reverse or negative along the x axis. Then the second part the car is moving forward along the x axis. So the car would only have velocity in the current direction of movement. So our equation for velocity is as follows.

v = d/t

v = 10 m/5 s

v = 2 m/s