Ask question

Ask question

All categories

3 years ago

8

The volume of water in the Pacific Ocean is about 7.0 × 10 8 km 3 . The density of seawater is about 1030 kg/m3. (a) Determine t

he gravitational potential energy of the Moon–Pacific Ocean system when the Pacific is facing away from the Moon. (b) Repeat the calculation when Earth has rotated so that the Pacific Ocean faces toward the Moon. (c) Estimate the maximum speed of the water in the Pacific Ocean due to the tidal influence of the Moon. For the sake of the calculations, treat the Pacific Ocean as a pointlike object (obviously a very rough approximation)

1 answer:

Novay_Z [31]3 years ago

8 0

To solve the problem it is necessary to consider the concepts related to Potential Energy and Kinetic Energy.

Potential Energy because of a planet would be given by the equation,

$PE=\frac{GMm}{r}$

Where,

G = Gravitational Universal Constant

M = Mass of Ocean

M = Mass of Moon

r = Radius

From the data given we can calculate the mass of the ocean water through the relationship of density and volume, then,

$m = \rho V$

$m = (1030Kg/m^3)(7*10^8m^3)$

$m = 7.210*10^{11}Kg$

It is necessary to define the two radii, when the ocean is far from the moon and when it is facing.

When it is far away, it will be the total diameter from the center of the earth to the center of the moon.

$r_1 = 3.84*10^8 + 6.4*10^6 = 3.904*10^8m$

When it's near, it will be the distance from the center of the earth to the center of the moon minus the radius,

$r_2 = 3.84*10^8-6.4*10^6 - 3.776*10^8m$

PART A) Potential energy when the ocean is at its furthest point to the moon,

$PE_1 = \frac{GMm}{r_1}$

$PE_1 = \frac{(6.61*10^{-11})*(7.21*10^{11})*(7.35*10^{22})}{3.904*10^8}$

$PE_1 = 9.05*10^{15}J$

PART B) Potential energy when the ocean is at its closest point to the moon

$PE_2 = \frac{GMm}{r_2}$

$PE_2 = \frac{(6.61*10^{-11})*(7.21*10^{11})*(7.35*10^{22})}{3.776*10^8}$

$PE_2 = 9.361*10^{15}J$

PART C) The maximum speed. This can be calculated through the conservation of energy, where,

$\Delta KE = \Delta PE$

$\frac{1}{2}mv^2 = PE_2-PE_1$

$v=\sqrt{2(PE_2-PE_1)/m}$

$v = \sqrt{\frac{2*(9.361*10^{15}-9.05*10^{15})}{7.210*10^{11}}}$

$v = 29.4m/s$

You might be interested in

On what does kinetic energy depend?

tekilochka [14]

Answer:

b

Explanation:

7 0

2 years ago

Read 2 more answers

If the velocity of a body changes from 13 m/s to 30 m/s while undergoing constant acceleration, what's the average velocity of t

Ronch [10]

Since the acceleration is constant, the average velocity is simply the average of the initial and final velocities of the body:

$v_{avg} = \frac{v_f+v_i}{2}=\frac{30 m/s+13 m/s}{2}=21.5 m/s$

We can proof that the distance covered by the body moving at constant average velocity $v_{avg}$ is equal to the distance covered by the body moving at constant acceleration a:

- body moving at constant velocity $v_{avg}$ : distance is given by

$S=v_{avg}t = \frac{v_f+v_i}{2}t$

- body moving at constant acceleration $a=\frac{v_f-v_i}{t}$ : distance is given by

$S=v_i t+ \frac{1}{2}at^2 = v_i t + \frac{1}{2}\frac{v_f-v_i}{t}t^2=(v_i+\frac{1}{2}(v_f-v_i))t=\frac{v_f+v_i}{2}t$

7 0

3 years ago

Read 2 more answers

What characteristics of EM waves did you discover?

jarptica [38.1K]

The characteristics of electromagnetic waves typically represent as follows:

There are changes in the electric and magnetic fields simultaneously so that both fields have maximum and minimum values at the same time and place.
The direction of the electric field and the magnetic field are perpendicular to each other. The direction of both is perpendicular to the direction of the wave propagation.
The shape of electromagnetic waves is transverse waves.
It has general wave characteristics like polarization, reflection, refraction, interference, and diffraction.
The amount of the electric field (E) is directly proportional to the magnitude of the magnetic field, with the relationship E = cB.
The universal constant of the velocity of electromagnetic waves in a vacuum is $\boxed{ \ c = 3 \times 10^8 \ m/s. \ }$
The speed at which electromagnetic waves propagate depends merely on the electrical and magnetic properties of the medium that it travels on.
Because electromagnetic waves do not contain an electric charge, they do not experience any possible deviation in the electric or magnetic fields.

<h3>Further explanation</h3>

Two physicists who contributed significantly to developing the concept of electromagnetic waves are Faraday and Maxwell around 1831-1864.
From the observations, Faraday suggested that changes in the magnetic field cause an electric charge to flow in the loop of wire, contributing in the emergence of an electric field.
Maxwell proposed a reverse process, which is a change in the electric field will generate a magnetic field.
As follows, according to Faraday's Law, changes in sinusoidal magnetic fields generate electric fields which also change sinusoidally.
Meantime, according to Maxwell's Hypothesis, changes in sinusoidal electric fields generate magnetic fields which also change sinusoidally.
Furthermore, there is a process of combining electric and magnetic fields that propagate in all directions called electromagnetic waves.

<h3>Learn more </h3>

About vector components brainly.com/question/1600633
Determine the shortest wavelength in electron transition brainly.com/question/4986277
Particle's speed and direction of motion brainly.com/question/2814900

Keywords: the characteristics, electromagnetic waves, transverse, vacuum, electric fields, magnetic, perpendicular, propagation, Maxwell, Faraday, the speed, polarization, reflection, refraction, interference, and diffraction

4 0

3 years ago

Read 2 more answers

Write an essay on the great wall of china

Alona [7]

The Great Wall of China is one of the greatest architectural achievements ever recorded in history. The Great Wall translates to “long fortress.” The wall was made entirely by hand. It was built to protect the Chinese from intruders from different Nomadic Tribes. The wall is about 5,500 miles long. The wall did not stretch across all of China but it stretched from Shanhaiguan in the East to Lop Nur in the West. Some people say that you can even see the wall from the moon! Wouldn’t that be something to see? The wall is very old and has been around for about 2,000 years. Parts of the wall are missing from it decaying and crumbling. Despite parts of the wall missing it remains a popular attraction today and is one of the seven spectacular…show more content…
During the Ming dynasty (1368-1644) was when much most of the wall was added. The Mind dynasty suffered from their attackers the Dadan, Nuzhen, and Tufan tribes. The Ming court built a lot more walls in the north as an attempt to keep out the attacking tribes. They built the walls much more elaborate and durable than the Qin Dynasty. There were many walls, fortresses, and watch towers along the wall which made the country more successful. Even with all the new construction on the wall the Ming dynasty was defeated by the Oirats in the battle of Tumu in the year 1449. The Ming dynasty had failed to keep the Mongolian and Manchurian tribes under control and it had weakened the Ming Empire. After the Mings loss in this battle they built more walls to make them less vulnerable if they were attacked. Towards the end of the Ming dynasty the Great Wall helped a lot to defend them from the Manchu invaders. The Manchus got into Beijing through the Shanhaiguan gates and took over the city ending the rule of the Ming dynasty and starting the new rule of the Qing Dynasty. The Qing Dynasty extended Chinas territory farther north beyond the Great Wall. The wall didn’t protect China’s border anymore so, construction on the wall stopped and soldiers abandoned their posts on the wall. The wall wasn’t used again after.
Today, the Great Wall is still standing in some parts but people fear that itthe Great Wall] demonstrates the manifestation of the wisdom and tenacity of the Chinese people.”(cortland.edu). China is considered one of the world’s oldest civilizations with the first dynasty beginning in 221 B.C.. A famous icon of this great civilization is the Great Wall of China, or known to the Chinese as Wan Li Chang Cheng. During the Warring States period, many feudal societies built their own sections for security. Eventually the walls were connected and there was a unified China. With The Great Wall of China is known as the largest construction project to be put in effect in all of world history. The wall, also known in China as "long wall of 10,000 li," is a collection of numerous short walls extending along the crest of hills on the southern edge of the Mongolian plain. Although it is a common misconception that the Great Wall of China is one long continuous wall, it 's structural inconsistency in no way undermines its greatness. The wall has been built, destructed,includes modules of ________ so you can see the construction of _____ Today I am going to be presenting the Great Wall of China and what political and military reasons it was built for. The construction was a feat of great magnitude and reflected the innovations and technological advancements of the Ancient Chinese. The reason I have decided to focus upon the Ancient Chinese is because I find China a very interesting civilisation. The ancient Chinese civilisation began 7,000 to 8,000 years ago and about
The Great Wall of China James Allen World History 1st period February 1, 2015 The first unified Chinese empire was formed in 221 B.C., that was when seven states were brought together by Shi Huangdi, a conqueror from the state of Qin. Shi Huangdi means “first emperor.” Until the twentieth century all rulers of imperial China called themselves the emperor. The emperor was believed, by the people of China, to be the son of heaven, God-like

4 0

3 years ago

1. A negatively charged rod is moved near the top of a positively charged electroscope. What

Xelga [282]

Answer:

A) Moves closer together

7 0

3 years ago