A glider attached to one end of a string oscillates given by the displacement function x(t) = 0.030cos(4.00t) is the acceleration of the mass after 3.56 seconds ?

Given that,

Mass of a box, m = 150 kg

It is pushed at an angle of 15 degrees with the horizontal.

It is 8.1 m long.

The coefficient of kinetic friction between the box and the incline is 0.4

To find,

The work done in pushing the box.

Solution,

First let's see the net force acting on the box.

\(F_{net}=mg\sin\theta+f_k\\=mg\sin\theta+\mu_k mg\cos\theta\)

Work done is given by :

W = force × displacement

\(W=(mg\sin\theta+\mu_k mg\cos\theta)\times s\\\\=150\times 10(\sin15+8.1\times \cos15)\times 8.1\\\\=98206.24\\\\or\\\\=98.2\ kJ\)

So, the required work done is 98.2 kJ.

To answer the question: "A student made a model of isostasy by placing a block of wood in a beaker of water how can a student demonstrate isostaic rebound using her model?" If she "Press the block down and let go

The state of gravitational equilibrium between the Earth's crust and mantle known as isostasy or isostatic equilibrium causes the crust to "float" at an elevation that is dependent on its thickness and density.

This idea is used to explain how various topographic heights can occur on the surface of the Earth.

Hence, to test the model she has, she should press the block down and let go

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A student made a model of isostasy by placing a block of wood in a beaker of water how can a student demonstarte isostaic rebound using her model

A. Blow vigorously on the block

B. Press the block down and let go

C. Add water until the beaker overflow

D. Pour out all the water

Explanation:

someone to check if the answer is correct

Answer:

Work done, W = 0.72 J

Explanation:

From the given graph, it is clear that the force applied is 6 N if the extension is 0.12 m.

Work done is given by :

W = Fx

\(W=6\ N\times 0.12\ m\\\\W=0.72\ J\)

So, 0.72 J of work is done to push the object 0.12 m

The balanced equation for the given unbalanced chemical reaction is:

\(C_3H_6O_2 +\frac{7}{2} O_2 \longrightarrow 3CO_2 +3H_2O\)

A chemical equation can be defined as a representation of a chemical reaction in which symbols of the substances, participated reactants, formed products, and an arrow showing the direction of the reaction is involved.

A balanced equation in which the number of atoms of each element reactants and products is equal in the equation of a chemical equation.

The law of conservation of mass should be obeyed while balancing a chemical equation. The total mass present on the reactant side should be equal to the total mass on the product side in a balanced chemical equation.

The balanced chemical equation for a given reaction is:

\(C_3H_6O_2 +\frac{7}{2} O_2 \longrightarrow 3CO_2 +3H_2O\)

Therefore, missing coefficients O₂, CO₂ and H₂O are 7/2, 3 and 3 respectively.

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1. The purpose of the investigation was to study the relationship between the Sun, Earth, and Moon.

2. The bright part of the moon appears bright due to the reflection of sunlight.

Introduction: The purpose of the investigation was to study the relationship between the Sun, Earth, and Moon. By creating models of the three celestial bodies, we aimed to understand how their movements and positions influence the phases of the moon and eclipses.The bright part of the moon appears bright due to the reflection of sunlight. As sunlight hits the moon's surface, it bounces back and reflects into space. This reflected light is what we see as the bright part of the moon.

Experimental Methods: To create our model, we used a lamp to represent the Sun, a ball to represent the Earth, and a smaller ball to represent the Moon. We also used a ruler, tape, and a protractor to measure distances and angles.We created our model by placing the lamp at one end of a table, the Earth in the middle, and the Moon at the other end. We attached the Moon to a string and moved it around the Earth to simulate the Moon's orbit around the Earth.

Develop a Model: Our model consists of a lamp, a ball, and a smaller ball on a string. The lamp represents the Sun, the ball represents the Earth, and the smaller ball on the string represents the Moon. As the Moon moves around the Earth, it goes through phases, from a new moon to a full moon and back again.We used diagrams and pictures to label the components of our model and describe causal accounts for the phases of the moon and eclipses.

Use a Model: When the Moon is full, it is in a direct line with the Earth and the Sun. Using our model, we can predict that the Moon would be directly opposite the Sun in the sky during a full moon. A lunar eclipse does not occur every month when there is a full moon because the Moon's orbit around the Earth is tilted at an angle of about 5 degrees to the Earth's orbit around the Sun. Therefore, the Moon is not always in a direct line with the Earth and the Sun during a full moon, which is necessary for a lunar eclipse to occur.

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The bike is travelling at 22.5 m/s after 2.5 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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The most common way to measure surface energy is through contact angle experiments. In this method, the contact angle of the surface is measured with several liquids, usually water and diiodomethane. Based on the contact angle results and knowing the surface tension of the liquids, the surface energy can be calculated.

In a situation where a fog signal indicates a risk of collision, vessels must follow specific actions based on COLREGs. The stand-on vessel maintains course and speed while staying vigilant, while the give-way vessel takes early and substantial action to avoid a collision by altering course or reducing speed.

In the scenario where a fog signal from another vessel is heard, indicating a risk of collision, there are specific actions that must be taken to ensure the safety of both vessels. These actions are based on the International Regulations for Preventing Collisions at Sea (COLREGs) and are essential for preventing accidents and maintaining a clear and orderly maritime environment.

The appropriate action to take in this situation depends on the role of your vessel:

1. If you are the stand-on vessel (vessel with the right of way):

  - Maintain your course and speed, but remain vigilant.

  - Use all available means to assess the situation, such as radar, visual observation, and radio communication.

  - Be prepared to take action if the give-way vessel fails to take appropriate action.

2. If you are the give-way vessel (vessel required to take action to avoid a collision):

  - Take early and substantial action to keep well clear of the stand-on vessel.

  - Alter your course to starboard (right) if possible, to pass behind the stand-on vessel.

  - Reduce your speed or stop if necessary to avoid a collision.

It is important to assess the situation promptly and accurately, considering factors such as the vessel's position, course, speed, and the risk of collision. Maintaining a safe distance, keeping a lookout, and communicating with the other vessel are crucial for effective collision avoidance.

Remember, the specific actions to take may vary depending on the circumstances, such as the size and maneuverability of the vessels, visibility conditions, and any additional signals or communications received. It is essential to follow the COLREGs and exercise sound judgment to ensure the safety of all involved parties.

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For a system of four capacitors is connected across a 90-V voltage source, the potential difference across the plates of the 6.0-µF and 2uF capacitors  is mathematically given as

a) vd=30v

b) Q=119.7uc

Generally, the equation for the charge across 6uf  is mathematically given as

Q=C6Vd

Where

1/c36=1/3+1/6

c36=2

Q3=2*90

Q3=180

Therefore

vd=180/6

vd=30v

In conclusion

1/c24=1/2+1/4

C24=1.33uf

Q2=1.33*90

Q=119.7uc

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The output current for the given step down transformer is 30A.

What is the step down transformer?

A step down transformer is a passive device that converts high voltage power to low voltage power, while the output current is higher than the  input current. They are used in power adaptors and rectifiers to decrease the voltage to the desired level. It works according to Faraday's law of Electromagnetic induction.

The current in the windings of a step down transformer is inversely proportional to the voltage in windings as:

Input voltage / Output voltage = Output current / Input current

220 / 110 = Outout current / 15

Output current = 30A

Hence, the output current (30A) obtained is higher than the given input current (15A).

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Newton thinks that object falls due to gravity whereas Einstein thinks gravity is not the reason behind it.

Newton concluded that objects fall because they are pulled by Earth's gravity. Einstein's thinks that these objects do not fall due to gravity. According to Einstein, these objects and Earth just freely move in a curved spacetime

So we can conclude that Newton thinks that object falls due to gravity whereas Einstein thinks gravity is not the reason behind it.

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Jonathan needs to maintain a separation of 0.543 mm between the plates to get the desired charge, and a dielectric constant of 92.6 to achieve a separation of 5 mm with a dielectric.

(a) Using the equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage, we can solve for the capacitance: C = Q/V =\((8.15 x 10^-9 C) / (50 V) = 1.63 x 10^-10 F.\)

Then, using the formula for capacitance of parallel plate capacitors: C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation distance, we can solve for the separation distance: d =\(_{3}OA/C = (8.85 x 10^-12 F/m) x (0.01 m^2) / (1.63 x 10^-10 F) = 0.543 mm.\)

(b) To find the dielectric constant, we can use the formula for capacitance of a parallel plate capacitor with a dielectric: C = εrε0A/d, where εr is the relative permittivity or dielectric constant of the material. Solving for εr, we get: εr = Cd / ε0A = \((1.63 x 10^-10 F)\) x (0.005 m) / \((8.85 x 10^-12 F/m)\) x \((0.01 m^2)\) = 92.6.

Therefore, Jonathan should use a dielectric with a relative permittivity of 92.6 to achieve a separation of 5 mm.

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The variables that Madison will deal with in her experiment are as follows:

An experiment is a test under controlled conditions made to either demonstrate a known truth or examine the validity of a hypothesis.

According to this question, Madison wants to conduct an experiment to validate her hypothesis that states: increased concentrations of salt in the air speeds the corrosion of certain metals.

To do this, Madison will deal with the following variables;

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Explanation:

B. Choose will (‘ll) or (be) going to, whichever is correct or more likely, and one of these verbs (7 marks- half each).

Get out of the building! It sounds like the generator isgoing toexplode.

Roman _____________ early before she reaches 65. She mentioned it at the meeting recently.

A: I think _____________ home across the park.

B: That’s a good idea.

Next year, no doubt, more people _____________ the competition as the prize money increases.

A: Can we meet at 10.00 outside the ILS building?

B: Okay. I_____________ you there.

Don’t sit on that bench, I_____________.

I’m not feeling well. In fact, I think I_____________.

‘Closed over the new year period. This office _____________ on 2nd January’ (a sign on an office window).

I’m sure you _____________ a good time staying with Merga.

We _____________ with Kedija tonight. She’s asked us to be there at 7:00.

‘The 2.35 to Arba Minch_____________ from gate 5’ (announcement at the airport).

I wouldn’t walk across the old bridge if I were you. It looks like it ____________.

I read in the paper that they _____________the price of the gas again.

Do you like my new solar watch? Here, I_____________you how it works.

A: AtoMessay isn’t in his office at the moment.

B: In that case, I_____________him at home.

Answer:

i think i am late but b is 3

Explanation:

Answer: Landslides are a type of "mass wasting," which denotes any down-slope movement of soil and rock under the direct influence of gravity. ... Debris flows (commonly referred to as mudflows or mudslides) and rock falls are examples of common landslide types. Almost every landslide has multiple causes.

The force that is required is 8.88 * 10^6 N

We know that the force that would be required to  winch the ship into the water is the net force that acts on the ship. We have to convert the mass of the ship from ton to kilogram as follows;

Given that;

1000Kg = 1 ton

x Kg = 5000ton

x = 1000Kg * 5000ton/1 ton

x = 5 * 10^6 kg

The force that is required is obtained from;

F = 0.18 *  5 * 10^6 kg * 10m/s^2 * cos 10

F = 8.88 * 10^6 N

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Answer:

\(\bar{v}=20\ m/s\)

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity changes by an equal amount in every equal period of time.

If vo is the initial speed, vf the final speed, and t the time, the acceleration is calculated as follows:

\(\displaystyle a=\frac{v_f-v_o}{t}\)

The final speed is calculated by solving the above equation:

\(v_f=v_o+at\)

The object starts from rest (v0=0) with a constant acceleration of a= 8 m/s^2 during t=5 seconds. Thus the final speed is:

\(v_f=0+8 m/s^2\cdot 5\ s\)

\(v_f=40\ m/s\)

The average velocity (speed in this case) is

\(\displaystyle \bar{v}=\frac{v_o+v_f}{2}\)

\(\displaystyle \bar{v}=\frac{0+40}{2}\)

\(\boxed{\bar{v}=20\ m/s}\)

Note: The average speed could also be calculated as the distance traveled x by the time. It would lead to identical results.

The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

This observation that electromagnetic radiation behaves like particles is known as the photoelectric effect.

It provides evidence that electromagnetic radiation exhibits particle-like properties. When EMR with sufficient energy (above a certain threshold) interacts with a metal surface, it can cause the ejection of electrons from the metal.

This behavior indicates that EMR behaves as discrete packets of energy called photons, which transfer their energy to the electrons and cause their release. The photoelectric effect supports the particle nature of EMR and is a fundamental concept in the field of quantum mechanics.

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Answer:

theta = 90°

Explanation:

hope it's helpful

Explanation:

A • B = (2i - 3j + k) • (i + j + k)

= (2)(1) + (- 3)(1) + (1)(1)

= 0 = AB cos θ

∴ cos θ = 0 (as A ≠ 0,B ≠ 0)

or θ = 90°

or the vectors A and B are mutually perpendicular.

-TheUnknownScientist

The neighbour weighs Iron. As he is a blacksmith, iron is the only thing he weighs the whole day.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

If Robert, your neighbor, a forty-five-year-old blacksmith is seven feet tall, and eats all day long, based on these statements, we can explain the riddle as Robert weighs iron for the fact that he  is a blacksmith, iron is the only thing he weighs the whole day.

Thus, the correct explanation for the riddle is " The neighbour weighs Iron. As he is a blacksmith, iron is the only thing he weighs the whole day.

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Gore argues that the combination of population growth, a globalized economy, and technological impact is driving our civilization towards a collision with the Earth, jeopardizing the well-being of future generations.

1. Population Growth: Gore argues that the rapid growth of the global population is straining the Earth's resources and ecosystems. As the population increases, so does the demand for food, water, energy, and other resources, leading to overconsumption and environmental degradation. This places a significant burden on the planet's capacity to sustain life and maintain a healthy balance.

2. Globalized Economy: The expansion of the globalized economy has resulted in increased production, consumption, and trade on a massive scale. While this has brought economic benefits and improved living standards for many, it has also contributed to environmental problems. The pursuit of economic growth often prioritizes short-term profits over long-term sustainability, leading to resource depletion, pollution, and climate change.

3. Technological Impact: Advances in technology have brought numerous benefits to society, but they have also come with unintended consequences. Industrial processes, transportation systems, and energy production have increasingly relied on fossil fuels, leading to greenhouse gas emissions and climate change. Additionally, technological advancements have accelerated the extraction and exploitation of natural resources, further straining the planet's ecosystems.

He advocates for sustainable solutions that prioritize environmental conservation, renewable energy, and responsible resource management to mitigate these challenges.

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Answer:

a(acceleration)=-10m.s^-2

Explanation:

Provided in the attachment.

The answer is C

Please dont get mad at me if this is not right im pretty sure it is
hope this helps!

Answer: A. The gravity of Venus will boost the speed of the space probe

Explanation: Hope this helped in time (: