Choose the best answer to each of the following. Explain your reasoning. How many of the planets orbit the Sun in the same direction as Earth does? (a) a few. (b) most (c) all

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Answer 1

Textbook Question

Chapter 4, Problem 1QQ

Choose the best answer to each of the following. Explain your reasoning.

How many of the planets orbit the Sun in the same direction as Earth does? (a) a few. (b) most (c) all

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

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Answer 2

Textbook Question

Chapter 4, Problem 1QQ

Choose the best answer to each of the following. Explain your reasoning.

How many of the planets orbit the Sun in the same direction as Earth does? (a) a few. (b) most (c) all

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 4, Problem 1QQ

Choose the best answer to each of the following. Explain your reasoning.

How many of the planets orbit the Sun in the same direction as Earth does? (a) a few. (b) most (c) all

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 4, Problem 1QQ

Choose the best answer to each of the following. Explain your reasoning.

How many of the planets orbit the Sun in the same direction as Earth does? (a) a few. (b) most (c) all

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

Answer 8

Expert Solution & Answer

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Number of planets orbiting Sun in the same direction as Earth.

Answer 12

Answer to Problem 1QQ

Option (b) Most planets possess same direction of motion as Earth does, revolving around the sun.

Answer 13

Explanation of Solution

Introduction:

Rotational motion possessed by any planet but in the direction opposite to that of the center(sun) is called retrograde motion and when a planet or satellite possesses same rotational direction of motion with its reference point (sun) is called prograde motion.

The direction of motion of the sun is counterclockwise like most of the planets except Uranus and Venus when observed from a high point of the North Pole of the solar system. Earth possesses prograde motion and the planets Venus and Uranus possess retrograde motion. Apart from these two planets, every planet rotates in a direction same as the Earth. The retrograde motion of Venus and Uranus is due to an asteroid hit which occurred billions of years ago.This caused the Uranus to be tilted with an angle of 900 from its orbital axis due to which it possesses prograde motion.

Hence, all the planets beside Uranus and Venus rotate in direction same as Earth.

Conclusion:

Most planets possess the same direction of motion as Earth does, circling around the sun.