Whether the given statement is true or false.

Question

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Answer 1

Question

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

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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

Question

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

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

Answer 3

Question

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

Want to see more full solutions like this?

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

Answer 4

Question

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

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

Answer 5

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

Answer 6

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

(a)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

Answer 7

Chapter 11, Problem 1P

(a)

To determine

To Find:Whether the given statement is true or false.

Answer 8

(a)

Expert Solution

Answer to Problem 1P

False

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Kepler’s law of equal areas is a result of the gravitational force that acts along the line joining two bodies but it is independent of the way in which the force changes with distance.

Conclusion:

Thus, the given statement is false.

Answer 13

(b)

To determine

To find:Whether the given statement is true or false.

(b)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

Answer 14

(b)

To determine

To find:Whether the given statement is true or false.

Answer 15

(b)

Expert Solution

Answer to Problem 1P

True

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

From the third law, one can understand that more the planet is closer to the sun, lesser would be its orbital period.

Conclusion: The given statement is true.

Answer 20

(c)

To determine

To Find:Whether the given statement is true or false.

(c)

Expert Solution

Answer to Problem 1P

True

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

Answer 21

(c)

To determine

To Find:Whether the given statement is true or false.

Answer 22

(c)

Expert Solution

Answer to Problem 1P

True

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

Venus is closer to the Sun as compared to the Earth.

From the Kepler’s third law, one can find that

vVenus>vEarth

Conclusion:

Thus, the given statement is true.

Answer 27

(d)

To determine

To Find:Whether the given statement is true or false.

(d)

Expert Solution

Answer to Problem 1P

False

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

Answer 28

(d)

To determine

To Find:Whether the given statement is true or false.

Answer 29

(d)

Expert Solution

Answer to Problem 1P

False

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Introduction:

Kepler described three laws of planetary motion:

1. A planet goes around sun in an elliptical orbit with the sun located at one focus.

2. The line joining each planet and the Sun covers equal areas in equal interval.

3. The square of orbital period is directly related to the cube of the mean orbital radius.

As the period of planets does not depends on planet’s mass according to Kepler’s third law, the given statement is false.

Answer 34

Ch. 11 - Prob. 1P Ch. 11 - Prob. 2P Ch. 11 - Prob. 3P Ch. 11 - Prob. 4P Ch. 11 - Prob. 5P Ch. 11 - Prob. 6P Ch. 11 - Prob. 7P Ch. 11 - Prob. 8P Ch. 11 - Prob. 9P Ch. 11 - Prob. 10P

Whether the given statement is true or false.

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To Find:Whether the given statement is true or false.

Answer to Problem 1P

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To find:Whether the given statement is true or false.

Answer to Problem 1P

Explanation of Solution

To Find:Whether the given statement is true or false.

Answer to Problem 1P

Explanation of Solution

To Find:Whether the given statement is true or false.

Answer to Problem 1P

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