Question 1

Kepler's second law, "a line joining any planet to the Sun sweeps out equal areas in equal times" is based on which conservation principle?

Accepted Answer

A)  conservation of energy 
B)  conservation of linear momentum 
C)  conservation of angular momentum 
D)  the work-energy theorem 
E)  It is not based on any conservation principle. 
A)  conservation of energy 
B)  conservation of linear momentum 
C)  conservation of angular momentum 
D)  the work-energy theorem 
E)  It is not based on any conservation principle.

Question 2

The radius of the moon is R. A satellite orbiting the moon in a circular orbit has an acceleration due to the moon's gravity of 0.14 m/s2. The acceleration due to gravity at the moon's surface is 1.62 m/s2. The height of the satellite above the moon's surface is

Accepted Answer

A)  3.4R 
B)  0.42R 
C)  11R 
D)  2.4R 
E)  1.7R 
A)  3.4R 
B)  0.42R 
C)  11R 
D)  2.4R 
E)  1.7R

Question 3

Test masses are used to measure the gravitational field at various positions in and near a solid sphere of uniform density. The gravitational field will have its greatest value at point

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 4

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 106 m above Earth's surface. What is the period of the satellite's motion at this elevation?

Accepted Answer

A)  5.65 h 
B)  4.24 h 
C)  1.07 h 
D)  2.12 h 
E)  None of these is correct. 
A)  5.65 h 
B)  4.24 h 
C)  1.07 h 
D)  2.12 h 
E)  None of these is correct.

Question 5

According to Newton's law of universal gravitation, if the distance between two bodies is tripled, the gravitational force between them is

Accepted Answer

A)  unchanged. 
B)  halved. 
C)  doubled. 
D)  reduced to 1/3 its previous value. 
E)  None of these is correct. 
A)  unchanged. 
B)  halved. 
C)  doubled. 
D)  reduced to 1/3 its previous value. 
E)  None of these is correct.

Question 6

What is the difference in the force of gravity on a 1.0-kg mass at the bottom of the deepest ocean trench and that at the top of the highest mountain? Assume that G = 9.8 m/s2 at sea level. The radius of Earth at sea level is 6.37 $\times$ 106 m. The deepest trench is the Marianas Trench, south of Guam, which has a depth
D = 1.103 $\times$ 104 m below sea level. The highest mountain is Everest in Nepal, which has a height of h = 8.847 $\times$ 103 m above sea level. The difference is

Accepted Answer

A)  0.061 N 
B)  0.0067 N 
C)  0.027 N 
D)  0.034 N 
E)  0.0062 N 
A)  0.061 N 
B)  0.0067 N 
C)  0.027 N 
D)  0.034 N 
E)  0.0062 N

Question 7

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 106 m above Earth's surface. What is the acceleration due to gravity at this elevation?

Accepted Answer

A)  9.80 m/s2  
B)  3.22 m/s2  
C)  5.67 m/s2  
D)  7.68 m/s2  
E)  None of these is correct. 
A)  9.80 m/s2  
B)  3.22 m/s2  
C)  5.67 m/s2  
D)  7.68 m/s2  
E)  None of these is correct.

Question 8

The mass density of a planet varies with distance from the center as   where C is a dimensionless constant, and RP is the radius of the planet. The gravitational field of the planet for r P is

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

A spring scale and a balance are used to "weigh" a body at the equator and later at a higher latitude, which has a different value for the acceleration due to gravity. Which of the following is a true statement concerning these weightings?

Accepted Answer

A)  The readings of the spring scale are the same. The readings of the balance are the same. 
B)  The readings of the spring scale are different. The readings of the balance are different. 
C)  The readings of the spring scale are the same. The readings of the balance are different. 
D)  The readings of the spring scale are different. The readings of the balance are the same. 
E)  None of these is true. 
A)  The readings of the spring scale are the same. The readings of the balance are the same. 
B)  The readings of the spring scale are different. The readings of the balance are different. 
C)  The readings of the spring scale are the same. The readings of the balance are different. 
D)  The readings of the spring scale are different. The readings of the balance are the same. 
E)  None of these is true.

Question 10

During the lunar mission of Apollo 11, Armstrong and Aldrin descended to the moon's surface in the lunar module while Collins remained in orbit in the command module. If the command module's period was 2 hours and 20 minutes, how high above the moon's surface did it orbit? (mmoon = 7.35 $\times$ 1022 kg, Rmoon = 1.74 $\times$ 106 m, and G = 6.67 $\times$ 10-11 N · m2/kg2.)

Accepted Answer

A)  3.22$\times$ 105 m 
B)  1.04 $\times$ 1011 m 
C)  5.67 $\times$ 102 m 
D)  2.53 $\times$  103 m 
E)  Not enough information is given to answer this question. 
A)  3.22$\times$ 105 m 
B)  1.04 $\times$ 1011 m 
C)  5.67 $\times$ 102 m 
D)  2.53 $\times$  103 m 
E)  Not enough information is given to answer this question.

Kepler's second law, "a line joining any planet to the Sun sweeps out equal areas in equal times" is based on which conservation principle?

The radius of the moon is R. A satellite orbiting the moon in a circular orbit has an acceleration due to the moon's gravity of 0.14 m/s². The acceleration due to gravity at the moon's surface is 1.62 m/s². The height of the satellite above the moon's surface is

Test masses are used to measure the gravitational field at various positions in and near a solid sphere of uniform density. The gravitational field will have its greatest value at point

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 10⁶ m above Earth's surface. What is the period of the satellite's motion at this elevation?

According to Newton's law of universal gravitation, if the distance between two bodies is tripled, the gravitational force between them is

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 10⁶ m above Earth's surface. What is the acceleration due to gravity at this elevation?

The mass density of a planet varies with distance from the center as where C is a dimensionless constant, and R_P is the radius of the planet. The gravitational field of the planet for r < R_P is

A spring scale and a balance are used to "weigh" a body at the equator and later at a higher latitude, which has a different value for the acceleration due to gravity. Which of the following is a true statement concerning these weightings?

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

Exam 11: Gravity

Kepler's second law, "a line joining any planet to the Sun sweeps out equal areas in equal times" is based on which conservation principle?

The radius of the moon is R. A satellite orbiting the moon in a circular orbit has an acceleration due to the moon's gravity of 0.14 m/s2. The acceleration due to gravity at the moon's surface is 1.62 m/s2. The height of the satellite above the moon's surface is

Test masses are used to measure the gravitational field at various positions in and near a solid sphere of uniform density. The gravitational field will have its greatest value at point

Suppose that a satellite is in a circular orbit at a height of 2.00 ×\times× 106 m above Earth's surface. What is the period of the satellite's motion at this elevation?

According to Newton's law of universal gravitation, if the distance between two bodies is tripled, the gravitational force between them is

Suppose that a satellite is in a circular orbit at a height of 2.00 ×\times× 106 m above Earth's surface. What is the acceleration due to gravity at this elevation?

The mass density of a planet varies with distance from the center as where C is a dimensionless constant, and RP is the radius of the planet. The gravitational field of the planet for r < RP is

A spring scale and a balance are used to "weigh" a body at the equator and later at a higher latitude, which has a different value for the acceleration due to gravity. Which of the following is a true statement concerning these weightings?

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

The radius of the moon is R. A satellite orbiting the moon in a circular orbit has an acceleration due to the moon's gravity of 0.14 m/s². The acceleration due to gravity at the moon's surface is 1.62 m/s². The height of the satellite above the moon's surface is

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 10⁶ m above Earth's surface. What is the period of the satellite's motion at this elevation?

Suppose that a satellite is in a circular orbit at a height of 2.00 $\times$ 10⁶ m above Earth's surface. What is the acceleration due to gravity at this elevation?

The mass density of a planet varies with distance from the center as where C is a dimensionless constant, and R_P is the radius of the planet. The gravitational field of the planet for r < R_P is