The ability of wind to erode the surface of a planet is related in part to the wind's kinetic energy. a. Compare the kinetic energy of a cubic meter of air at sea level on Earth (mass \(1.23 \mathrm{kg}\) ) moving at a speed of \(10 \mathrm{m} / \mathrm{s}\) with a cubic meter of air at the surface of Venus (mass \(64.8 \mathrm{kg}\) moving at \(1 \mathrm{m} / \mathrm{s}\) b. Compare the kinetic-energy value you determined for Earth in part (a) with that of a cubic meter of air at the surface of Mars (mass 0.015 kg) moving at a speed of 50 \(\mathrm{m} / \mathrm{s}\). c. Why do you think there is not more evidence of wind erosion on Earth?

Short Answer

Expert verified
The kinetic energy of the wind is greatest on Earth, suggesting more potential for erosion compared to Venus and Mars. However, other factors on Earth reduce the visibility of such erosion.

Step by step solution

01

- Understanding Kinetic Energy

Kinetic energy (KE) is given by the formula: \[ KE = \frac{1}{2}mv^2 \] where \( m \) is the mass and \( v \) is the velocity.
02

- Calculate KE for Air at Sea Level on Earth

Use the given values for the air at sea level on Earth: \( m = 1.23 \text{ kg} \) and \( v = 10 \text{ m/s} \). \[ KE_{Earth} = \frac{1}{2} (1.23) (10)^2 \] Calculate the value: \[ KE_{Earth} = \frac{1.23 \times 100}{2} = 61.5 \text{ J} \]
03

- Calculate KE for Air at Surface of Venus

Use the given values for the air at the surface of Venus: \( m = 64.8 \text{ kg} \) and \( v = 1 \text{ m/s} \). \[ KE_{Venus} = \frac{1}{2} (64.8) (1)^2 \] Calculate the value: \[ KE_{Venus} = \frac{64.8}{2} = 32.4 \text{ J} \]
04

- Compare KE of Earth and Venus

Compare the kinetic energy values calculated: \[ KE_{Earth} = 61.5 \text{ J} \] \[ KE_{Venus} = 32.4 \text{ J} \] Kinetic energy of Earth's air is greater than Venus's air.
05

- Calculate KE for Air at Surface of Mars

Use the given values for the air at the surface of Mars: \( m = 0.015 \text{ kg} \) and \( v = 50 \text{ m/s} \). \[ KE_{Mars} = \frac{1}{2} (0.015) (50)^2 \] Calculate the value: \[ KE_{Mars} = \frac{0.015 \times 2500}{2} = 18.75 \text{ J} \]
06

- Compare KE of Earth and Mars

Compare the kinetic energy values calculated: \[ KE_{Earth} = 61.5 \text{ J} \] \[ KE_{Mars} = 18.75 \text{ J} \] Kinetic energy of Earth's air is greater than Mars's air.
07

- Discuss Evidence of Wind Erosion on Earth

Given that Earth's air has greater kinetic energy compared to both Venus and Mars, it suggests there is more ability for wind to cause erosion on Earth. However, Earth's more substantial atmosphere and other geological processes might make evidence of erosion less obvious. Furthermore, factors like vegetation and human activities could mitigate visible wind erosion.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Kinetic Energy
Kinetic energy (KE) is a fundamental concept in physics, crucial for understanding wind erosion on planetary surfaces. It represents the energy an object possesses due to its motion. The formula to calculate kinetic energy is \[ KE = \frac{1}{2}mv^2 \] where \( m \) is the mass and \( v \) is the velocity of the object.

For instance, consider the kinetic energy of air parcels on Earth, Venus, and Mars. The differences in their kinetic energies can tell us about the wind's ability to erode surfaces. Higher kinetic energy implies a stronger capability to cause erosion, as the wind can move and lift particles more effectively.
Planetary Science
Planetary science is the study of planets, their moons, and planetary systems. It involves understanding physical and chemical processes, including those affecting atmospheres and surfaces.

By evaluating kinetic energy, scientists can determine how wind erosion differs across planets. For example, Earth's wind has different erosion capabilities compared to Mars and Venus due to their unique atmospheric conditions and compositions.
Wind Erosion
Wind erosion is the process by which surface materials are worn away and transported by the wind. It is significant on planets with atmospheres like Earth, Venus, and Mars.

On Earth, vibrant atmospheric dynamics, including variations in temperature and pressure, drive strong winds that can erode the land. Mars, with its thin atmosphere, experiences different wind erosion patterns, mainly due to its lower atmospheric pressure and density. Venus, although having a dense atmosphere, sees less wind erosion at the surface due to lower wind speeds and different kinetic energy properties.
Atmospheric Dynamics
Atmospheric dynamics involve the movement of air and the forces that drive these movements. These processes are crucial for understanding weather and climate on any planet.

On Earth, atmospheric dynamics are influenced by factors like solar heating, rotation, and the presence of oceans. These dynamics create winds that can vary greatly in speed and direction, contributing to the planet's erosion processes. Mars, with its thinner atmosphere, has less dynamic weather patterns but can still experience strong dust storms due to its low gravity and temperature differences. Venus, with a very thick atmosphere, has slower surface winds but still experiences complex atmospheric movements due to its high surface pressure and temperature.
Geological Processes
Geological processes shape the surfaces of planets through a variety of mechanisms including wind erosion, volcanic activity, tectonics, and impact cratering. Wind erosion is just one of these processes but can significantly alter landscapes over time.

On Earth, geological processes are diverse and include not just wind erosion but water erosion, glaciation, and human activity. Mars and Venus also exhibit geological processes, albeit differently due to their unique environmental conditions. For example, Mars' wind erosion is influenced by its reduced gravity and thin atmosphere, while Venus' surface experiences less erosion due to its dense atmosphere and lower wind speeds relative to kinetic energy considerations.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Climate change: a. Go to the timeline on the "Discovery of Global Warming" Web page of the American Institute of Physics (http://aip .org/history/climate/timeline.htm). When did scientists first suspect that \(\mathrm{CO}_{2}\) produced by humans might affect Earth's temperature? When were other anthropogenic greenhouse gases identified? When did scientific opinion about global warming start to converge? Click on "Venus \& Mars": How did observations of these planets add to an understanding of global climate change? Click on "Aerosols": How do these contribute to "global dimming"? b. The Fifth Assessment report from the Intergovernmental Panel on Climate Change (IPCC) was released in October \(2014 .\) Go to the IPCC website section on the 2014 Synthesis report (http://ipcc.ch/report/ar5/syr/) and watch the 16-minute video. What are some of the causes of the in- crease in warming? What are some of the effects of warming seen in the polar regions? How are measurements from the past and present used to predict the climate in the future? c. Advanced: Go to the website for "Educational Global Climate Modeling," or EdGCM (http://edgcm.columbia.edu). This is a version of the NASA GISS modeling software that will enable students to run a functional three-dimensional global climate model on their laptop computers. Download the trial version and install it on your computer. What can you study with this program? What factors that contribute to global warming or to global cooling on Earth can you adjust in the model? Your instructor may give you an assignment using this program and the Earth Exploration Toolbook (http://serc.carleton.edu/eet/envisioningclimatechange/ index.html).

Place in chronological order the following steps in the formation and evolution of Earth's atmosphere. a. Plant life converts carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) to oxygen. b. Hydrogen and helium are lost from the atmosphere. c. Volcanoes, comets, and asteroids increase the inventory of volatile matter d. Hydrogen and helium are captured from the protoplanetary disk. e. Oxygen enables the growth of new life-forms. f. Life releases \(\mathrm{CO}_{2}\) from the subsurface into the atmosphere.

The ozone layer protects life on Earth from a. high-energy particles from the solar wind. b. micrometeorites. c. ultraviolet radiation. d. charged particles trapped in Earth's magnetic field.

The atmosphere of Mars is often pink-orange because a. it is dominated by carbon dioxide. b. the Sun is at a low angle in the sky. c. Mars has no oceans to reflect blue light to the sky. d. winds lift dust into the atmosphere.

Mars movies: a. Watch a science fiction film about people going to Mars. How does the film handle the science? Can people breathe the atmosphere? Are the low surface gravity and atmospheric pressure correctly portrayed? Do the astronauts have access to water? b. At the end of the film Total Recall (1990), Arnold Schwarzenegger's character presses an alien button, the martian volcanoes start spewing, and within a few minutes the martian sky is blue, the atmospheric pressure is Earthlike, and the atmosphere is totally breathable. (Probably you can find the scene online.) What, scientifically, is wrong with this scene? That is, why would volcanic gases not quickly create a breathable atmosphere on Mars?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free