Question 1

When two solid spheres of the same material and same radius r are in contact,the magnitude of the gravitational force each exerts on the other is directly proportional to

Accepted Answer

A) r. 
B) r2. 
C) r3. 
D) r4. 
E) r6.

Question 2

When a falling meteor is at a distance above the Earth's surface of 3 times the Earth's radius,what is its acceleration due to the Earth's gravity?

Accepted Answer

The answer of When a falling meteor is at a...

Question 3

A spaceship of mass m circles a planet (mass = M)in an orbit of radius R.How much energy is required to transfer the spaceship to a circular orbit of radius 3R?

Accepted Answer

A) GmM/(2R) 
B) GmM/(3R) 
C) GmM/(4R) 
D) GmM/(6R) 
E) 3GmM/(4R)

Question 4

Exhibit 13-1
Three 5.0-kg masses are located at points in the xy plane as shown in the figure.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses)on the mass at the origin?

Accepted Answer

A) 2.7 × 10−8 N 
B) 2.1 × 10−8 N 
C) 1.8 × 10−8 N 
D) 2.4 × 10−8 N 
E) 2.9 × 10−8 N

Question 5

In an isolated system of two bodies that exert gravitational forces on one another,the quantity (quantities)that remain(s)constant is(are)

Accepted Answer

A) the total energy of the system. 
B) the total angular momentum of the system. 
C) the angular positions of the two bodies. 
D) all of the above. 
E) only (a)and (b)above.

Question 6

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Accepted Answer

A) its speed is constant. 
B) its speed is increasing. 
C) its speed is decreasing. 
D) its speed is a maximum. 
E) its speed is a minimum.

Question 7

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Accepted Answer

A) its speed is constant. 
B) its speed is increasing. 
C) its speed is decreasing. 
D) its speed is a maximum. 
E) its speed is a minimum.

Question 8

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Accepted Answer

A) its speed is decreasing. 
B) its angular momentum is increasing. 
C) the gravitational force does no work on the planet. 
D) all of the above are correct. 
E) none of the above is correct.

Question 9

Two stars of masses M and 6M are separated by a distance D.Determine the distance (measured from M)to a point at which the net gravitational force on a third mass would be zero.

Accepted Answer

A) 0.41 D 
B) 0.33 D 
C) 0.37 D 
D) 0.29 D 
E) 0.14 D

Question 10

What is the period of revolution of a planet in circular orbit around a star of 4.0 solar masses if it is at a distance from the star equal to that of the Earth from the Sun?

Accepted Answer

The answer of What is the period of revolution of...

Question 11

Which of the following quantities is conserved for a planet orbiting a star in a circular orbit? Only the planet itself is to be taken as the system;the star is not included.

Accepted Answer

A) Momentum and energy. 
B) Energy and angular momentum. 
C) Momentum and angular momentum. 
D) Momentum,angular momentum and energy. 
E) None of the above.

Question 12

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99 × 10³⁰ kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Accepted Answer

The answer of The planet Venus requires 225 days to...

Question 13

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Accepted Answer

A) its speed is constant. 
B) its speed is increasing. 
C) its speed is decreasing. 
D) its speed is a maximum. 
E) its speed is a minimum.

Question 14

Three 5.0-kg masses are located at points in the xy plane,as shown.What is the magnitude of the resultant force (caused by the other two masses)on the mass at x = 0,y = 0.30 m?

Accepted Answer

A) 2.6 × 10−8 N 
B) 2.0 × 10−8 N 
C) 2.9 × 10−8 N 
D) 2.3 × 10−8 N 
E) 2.1 × 10−8 N

Question 15

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0 × 106 m,R = 5.0 × 106 m,and M = 4.0 × 1024 kg.

Accepted Answer

A) 7.8 km/s 
B) 3.5 km/s 
C) 5.4 km/s 
D) 6.9 km/s 
E) 4.8 km/s

Question 16

Exhibit 13-1
Three 5.0-kg masses are located at points in the xy plane as shown in the figure.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses)on the mass at x = 0.40 m,y = 0?

Accepted Answer

A) 2.2 × 10−8 N 
B) 1.9 × 10−8 N 
C) 1.4 × 10−8 N 
D) 1.6 × 10−8 N 
E) 2.5 × 10−8 N

Question 17

Three galaxies,each of mass M = 4.0 × 1041 kg,lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length.The magnitude of the force the other two galaxies exert on each galaxy is

Accepted Answer

A) 4.3 × 1027 N. 
B) 6.4 × 1027 N. 
C) 7.4 × 1027 N. 
D) 8.6 × 1027 N. 
E) 4.3 × 1028 N.

Question 18

What is the escape speed from a planet of mass M and radius R if M = 3.2 × 1023 kg and R = 2.4 × 106 m?

Accepted Answer

A) 5.5 km/s 
B) 4.2 km/s 
C) 5.2 km/s 
D) 4.8 km/s 
E) 3.7 km/s

Question 19

An asteroid revolves around the Sun with a perihelion 0.5 AU and an aphelion of 7.5 AU.What is its period of revolution?

Accepted Answer

A) 4 years 
B) 8 years 
C) 16 years 
D) 32 years 
E) 64 years

Question 20

Two identical planets orbit a star in concentric circular orbits in the star's equatorial plane.Of the two,the planet that is farther from the star must have

Accepted Answer

A) the smaller period. 
B) the greater period. 
C) the smaller gravitational mass. 
D) the larger gravitational mass. 
E) the larger universal gravitational constant.

Exam 13: Universal Gravitation

When two solid spheres of the same material and same radius r are in contact,the magnitude of the gravitational force each exerts on the other is directly proportional to

When a falling meteor is at a distance above the Earth's surface of 3 times the Earth's radius,what is its acceleration due to the Earth's gravity?

A spaceship of mass m circles a planet (mass = M) in an orbit of radius R.How much energy is required to transfer the spaceship to a circular orbit of radius 3R?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

In an isolated system of two bodies that exert gravitational forces on one another,the quantity (quantities) that remain(s) constant is(are)

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Two stars of masses M and 6M are separated by a distance D.Determine the distance (measured from M) to a point at which the net gravitational force on a third mass would be zero.

What is the period of revolution of a planet in circular orbit around a star of 4.0 solar masses if it is at a distance from the star equal to that of the Earth from the Sun?

Which of the following quantities is conserved for a planet orbiting a star in a circular orbit? Only the planet itself is to be taken as the system;the star is not included.

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99 × 10³⁰ kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Three 5.0-kg masses are located at points in the xy plane,as shown.What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0,y = 0.30 m?

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0 × 10⁶ m,R = 5.0 × 10⁶ m,and M = 4.0 × 10²⁴ kg.

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m,y = 0?

Three galaxies,each of mass M = 4.0 × 10⁴¹ kg,lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length.The magnitude of the force the other two galaxies exert on each galaxy is

What is the escape speed from a planet of mass M and radius R if M = 3.2 × 10²³ kg and R = 2.4 × 10⁶ m?

An asteroid revolves around the Sun with a perihelion 0.5 AU and an aphelion of 7.5 AU.What is its period of revolution?

Two identical planets orbit a star in concentric circular orbits in the star's equatorial plane.Of the two,the planet that is farther from the star must have

Exam 13: Universal Gravitation

When two solid spheres of the same material and same radius r are in contact,the magnitude of the gravitational force each exerts on the other is directly proportional to

When a falling meteor is at a distance above the Earth's surface of 3 times the Earth's radius,what is its acceleration due to the Earth's gravity?

A spaceship of mass m circles a planet (mass = M) in an orbit of radius R.How much energy is required to transfer the spaceship to a circular orbit of radius 3R?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

In an isolated system of two bodies that exert gravitational forces on one another,the quantity (quantities) that remain(s) constant is(are)

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Two stars of masses M and 6M are separated by a distance D.Determine the distance (measured from M) to a point at which the net gravitational force on a third mass would be zero.

What is the period of revolution of a planet in circular orbit around a star of 4.0 solar masses if it is at a distance from the star equal to that of the Earth from the Sun?

Which of the following quantities is conserved for a planet orbiting a star in a circular orbit? Only the planet itself is to be taken as the system;the star is not included.

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99 × 1030 kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

Three 5.0-kg masses are located at points in the xy plane,as shown.What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0,y = 0.30 m?

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0 × 106 m,R = 5.0 × 106 m,and M = 4.0 × 1024 kg.

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1.What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m,y = 0?

Three galaxies,each of mass M = 4.0 × 1041 kg,lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length.The magnitude of the force the other two galaxies exert on each galaxy is

What is the escape speed from a planet of mass M and radius R if M = 3.2 × 1023 kg and R = 2.4 × 106 m?

An asteroid revolves around the Sun with a perihelion 0.5 AU and an aphelion of 7.5 AU.What is its period of revolution?

Two identical planets orbit a star in concentric circular orbits in the star's equatorial plane.Of the two,the planet that is farther from the star must have

The planet Venus requires 225 days to orbit the sun,which has a mass M = 1.99 × 10³⁰ kg,in an almost circular trajectory.Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R.What is the speed of the object just before striking the surface of the planet? Neglect any air resistance.Let h = 4.0 × 10⁶ m,R = 5.0 × 10⁶ m,and M = 4.0 × 10²⁴ kg.

Three galaxies,each of mass M = 4.0 × 10⁴¹ kg,lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length.The magnitude of the force the other two galaxies exert on each galaxy is

What is the escape speed from a planet of mass M and radius R if M = 3.2 × 10²³ kg and R = 2.4 × 10⁶ m?