Two planets are orbiting a star in a distant galaxy. The first has a semimajor axis of 150 *106 km, an eccentricity of 0.20, and a period of 1.0 Earth years. The second has a semimajor axis of 250 *106 km, an eccentricity of 0.30, and a period of:

A) 0.46 Earth yr B) 0.57 Earth yr C) 1.4 Earth yr D) 1.8 Earth yr E) 2.2 Earth yr A) 0.46 Earth yr B) 0.57 Earth yr C) 1.4 Earth yr D) 1.8 Earth yr E) 2.2 Earth yr

Exam 13: Gravitation

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Two planets are orbiting a star in a distant galaxy. The first has a semimajor axis of 150 10⁶ km, an eccentricity of 0.20, and a period of 1.0 Earth years. The second has a semimajor axis of 250 10⁶ km, an eccentricity of 0.30, and a period of:

(Multiple Choice)

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Question 41

The gravitational constant G has the derived units

(Multiple Choice)

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Question 42

A spherical shell has inner radius R₁, outer radius R₂, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass m a distance d from the center, inside the inner radius, is:

(Multiple Choice)

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Question 43

An object is raised from the surface of Earth to a height of two Earth radii above Earth. Then:

(Multiple Choice)

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Question 44

An object is dropped from an altitude of one Earth radius above Earth's surface. If M is the mass of Earth and R is its radius the speed of the object just before it hits Earth is given by:

(Multiple Choice)

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Question 45

A spherical shell has inner radius R₁, outer radius R₂, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass particle of m a distance d from the center, outside the inner radius, is:

(Multiple Choice)

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Question 46

An astronaut on the Moon simultaneously drops a feather and a hammer. The fact that they land together shows that:

(Multiple Choice)

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Question 47

The elliptical orbit of a planet around the Sun is shown on the diagram. Which of the following statements is true?

(Multiple Choice)

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Question 48

Three particles, two with mass m and one mass M, might be arranged in any of the four configurations known below. Rank the configurations according to the magnitude of the gravitational force on M, least to greatest.

(Multiple Choice)

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Question 49

A rocket ship is coasting toward a planet. Its captain wishes to know the value of g at the surface of the planet. This may be inferred by:

(Multiple Choice)

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Question 50

A planet in another solar system orbits a star with a mass of 4.0 10³⁰ kg. At one point in its orbit it is 250 10⁶ km from the star and is moving at 35 km/s. Take the universal gravitational constant to be 6.67*10^-¹¹ m²/s² . kg and calculate the semimajor axis of the planet's orbit. The result is:

(Multiple Choice)

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Question 51

A particle might be placed Rank these situations according to the magnitude of the gravitational force on the particle, least to greatest.

(Multiple Choice)

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Question 52

The approximate value of g at an altitude above Earth equal to one Earth diameter is:

(Multiple Choice)

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Question 53

The escape velocity at the surface of Earth is approximately 8 km/s. What is the mass, in units of Earth's mass, of a planet with twice the radius of Earth for which the escape speed is twice that for Earth?

(Multiple Choice)

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Question 54

A spaceship is returning to Earth with its engine turned off. Consider only the gravitational field of Earth and let M be the mass of Earth, m be the mass of the spaceship, and R be the distance from the center of Earth. In moving from position 1 to position 2 the kinetic energy of the spaceship increases by:

(Multiple Choice)

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Question 55

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Exam 13: Gravitation

Two planets are orbiting a star in a distant galaxy. The first has a semimajor axis of 150 *106 km, an eccentricity of 0.20, and a period of 1.0 Earth years. The second has a semimajor axis of 250 *106 km, an eccentricity of 0.30, and a period of:

The gravitational constant G has the derived units

A spherical shell has inner radius R1, outer radius R2, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass m a distance d from the center, inside the inner radius, is:

An object is raised from the surface of Earth to a height of two Earth radii above Earth. Then:

An object is dropped from an altitude of one Earth radius above Earth's surface. If M is the mass of Earth and R is its radius the speed of the object just before it hits Earth is given by:

A spherical shell has inner radius R1, outer radius R2, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass particle of m a distance d from the center, outside the inner radius, is:

An astronaut on the Moon simultaneously drops a feather and a hammer. The fact that they land together shows that:

The elliptical orbit of a planet around the Sun is shown on the diagram. Which of the following statements is true?

Three particles, two with mass m and one mass M, might be arranged in any of the four configurations known below. Rank the configurations according to the magnitude of the gravitational force on M, least to greatest.

A rocket ship is coasting toward a planet. Its captain wishes to know the value of g at the surface of the planet. This may be inferred by:

A particle might be placed Rank these situations according to the magnitude of the gravitational force on the particle, least to greatest.

The approximate value of g at an altitude above Earth equal to one Earth diameter is:

The escape velocity at the surface of Earth is approximately 8 km/s. What is the mass, in units of Earth's mass, of a planet with twice the radius of Earth for which the escape speed is twice that for Earth?

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Two planets are orbiting a star in a distant galaxy. The first has a semimajor axis of 150 10⁶ km, an eccentricity of 0.20, and a period of 1.0 Earth years. The second has a semimajor axis of 250 10⁶ km, an eccentricity of 0.30, and a period of:

A spherical shell has inner radius R₁, outer radius R₂, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass m a distance d from the center, inside the inner radius, is:

A spherical shell has inner radius R₁, outer radius R₂, and mass M, distributed uniformly throughout the shell. The magnitude of the gravitational force exerted on the shell by a point mass particle of m a distance d from the center, outside the inner radius, is: