Question 1

Suppose a planet exists that has half the mass of Earth and half its radius.On the surface of that planet,the acceleration due to gravity is

Accepted Answer

A) twice that on Earth. 
B) the same as that on Earth. 
C) half that on Earth. 
D) one-fourth that on Earth. 
E) none of these. 
A) twice that on Earth. 
B) the same as that on Earth. 
C) half that on Earth. 
D) one-fourth that on Earth. 
E) none of these.

Question 2

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 speed of a satellite in this orbit?

Accepted Answer

A) 8.31 $\times$ 101 m/s 
B) 6.90 $\times$ 103 m/s 
C) 4.76 $\times$ 107 m/s 
D) 9.62 $\times$ 104 m/s 
E) None of these is correct. 
A) 8.31 $\times$ 101 m/s 
B) 6.90 $\times$ 103 m/s 
C) 4.76 $\times$ 107 m/s 
D) 9.62 $\times$ 104 m/s 
E) None of these is correct.

Question 3

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell.The gravitational field will be smallest at point(s)

Accepted Answer

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

Question 4

The Roche Limit tells us about the point on a rotating planet where the gravitational force at the equator is just equal to the necessary centripetal force needed for rotation.Assuming the planet to be a uniform sphere of density 5520 kg/m3,find the shortest period of rotation possible before exceeding the Roche Limit.(G = 6.67 $\times$ 10-11 N·m2/kg2)

Accepted Answer

A) none of the following 
B) 50 mins 
C) 150 mins 
D) 48 mins 
E) 85 mins 
A) none of the following 
B) 50 mins 
C) 150 mins 
D) 48 mins 
E) 85 mins

Question 5

As a satellite falls into a lower orbit,its speed _______.

Accepted Answer

A) decreases 
B) is unchanged 
C) increases 
D) depends on the mass of the satellites 
E) cannot tell 
A) decreases 
B) is unchanged 
C) increases 
D) depends on the mass of the satellites 
E) cannot tell

Question 6

An object whose mass is 4 kg experiences a gravitational force of 20 N   at some point P.The gravitational field at this point is

Accepted Answer

A) 5 m/s2   
B) 4 m/s2   
C) -5 m/s2   
D) 20 n/kg   
E) 80 N/kg   
A) 5 m/s2   
B) 4 m/s2   
C) -5 m/s2   
D) 20 n/kg   
E) 80 N/kg

Question 7

A planet is made of two distinct materials in two layers.From the core to R/2,the density of the material is 4000 kg/m3,and from R/2 to R the density is 3000 kg/m3.What is the mass of the planet if R = 5000 km?

Accepted Answer

A) 2.62 $\times$ 1023 kg 
B) 1.37 $\times$ 1024 kg 
C) 1.64 $\times$ 1024 kg 
D) 1.57 $\times$ 1024 kg 
E) 1.87 $\times$ 1024 kg 
A) 2.62 $\times$ 1023 kg 
B) 1.37 $\times$ 1024 kg 
C) 1.64 $\times$ 1024 kg 
D) 1.57 $\times$ 1024 kg 
E) 1.87 $\times$ 1024 kg

Question 8

If the mass of a satellite is doubled while the radius of its orbit remains constant,the speed of the satellite is

Accepted Answer

A) increased by a factor of 8. 
B) increased by a factor of 2. 
C) not changed. 
D) reduced by a factor of 8. 
E) reduced by a factor of 2. 
A) increased by a factor of 8. 
B) increased by a factor of 2. 
C) not changed. 
D) reduced by a factor of 8. 
E) reduced by a factor of 2.

Question 9

The mass and radius of the planet Venus are 81% and 95% that of Earth,respectively.How much faster or slower (as a percentage)is the escape velocity from Venus compared to that of Earth?

Accepted Answer

A) 8% slower 
B) 8% faster 
C) 12% slower 
D) 12% faster 
E) 17% slower 
A) 8% slower 
B) 8% faster 
C) 12% slower 
D) 12% faster 
E) 17% slower

Question 10

If the mass of a planet is doubled while its radius and the radius of orbit of its moon remain constant,the speed of the moon is

Accepted Answer

A) increased by a factor of   . 
B) increased by a factor of 2. 
C) not changed. 
D) reduced by a factor of   . 
E) reduced by a factor of 2. 
A) increased by a factor of   . 
B) increased by a factor of 2. 
C) not changed. 
D) reduced by a factor of   . 
E) reduced by a factor of 2.

Question 11

An object weighs 37.0 N on Earth.If the mass of the moon is one eighty-first that of Earth and its radius one-fourth that of Earth,the weight of this object on the moon would be

Accepted Answer

A) 1.77 N 
B) 7.10 N 
C) 18.2 N 
D) 28.3 N 
E) 37.0 N 
A) 1.77 N 
B) 7.10 N 
C) 18.2 N 
D) 28.3 N 
E) 37.0 N

Question 12

If the mass and radius of Mars to Earth are 11% and 53% respectively,calculate the ratio of the escape velocity of Earth divided by that of Mars.

Accepted Answer

A) 4.8 
B) 2.2 
C) 0.5 
D) 6.6 
E) 1.6 
A) 4.8 
B) 2.2 
C) 0.5 
D) 6.6 
E) 1.6

Question 13

Four identical masses,each of mass M,are placed at the corners of a square of side L.The total potential energy of the masses is equal to -xGM 2/L,where x equals

Accepted Answer

A) 4 
B)    
C)    
D)    
E)    
A) 4 
B)    
C)    
D)    
E)

Question 14

The mean radius of Earth is about 6.436 $\times$ 106 m.A satellite in a circular orbit 3.20 $\times$ 106 m above the surface of Earth has an acceleration of approximately

Accepted Answer

A) 39.2 m/s2  
B) 22.1 m/s2  
C) 14.2 m/s2  
D) 6.54 m/s2  
E) 4.36 m/s2  
A) 39.2 m/s2  
B) 22.1 m/s2  
C) 14.2 m/s2  
D) 6.54 m/s2  
E) 4.36 m/s2

Question 15

If the mass of Earth is 6 $\times$1024 kg,the mass of the moon 7 $\times$ 1022 kg,the radius of the moon's orbit 4 $\times$108 m,and the value of the gravitational constant 6 $\times$ 10-11 N · m2/kg2,the force between Earth and the moon is approximately

Accepted Answer

A) 5 $\times$ 104 N 
B) 2 $\times$ 1020 N 
C) 3 $\times$ 1050 N 
D) 7 $\times$ 1030 N 
E) 3 $\times$ 1028 N 
A) 5 $\times$ 104 N 
B) 2 $\times$ 1020 N 
C) 3 $\times$ 1050 N 
D) 7 $\times$ 1030 N 
E) 3 $\times$ 1028 N

Question 16

A body experiences a gravitational force with a magnitude of 200 N in a region of space where the magnitude of the gravitational field is 10 m/s2.The mass of the body is

Accepted Answer

A) 0.2 kg 
B) 100 kg 
C) 5 kg 
D) 20 kg 
E) 2000 kg 
A) 0.2 kg 
B) 100 kg 
C) 5 kg 
D) 20 kg 
E) 2000 kg

Question 17

Which of the following statements is true?

Accepted Answer

A) There is no point in the universe where gravity is precisely zero. 
B) It is possible to find a point in the universe where gravity from different astronomical objects cancels so it is precisely zero. 
C) Gravity can give rise to a repulsive force. 
D) Gravity is a nonconservative force. 
E) None of the above is true. 
A) There is no point in the universe where gravity is precisely zero. 
B) It is possible to find a point in the universe where gravity from different astronomical objects cancels so it is precisely zero. 
C) Gravity can give rise to a repulsive force. 
D) Gravity is a nonconservative force. 
E) None of the above is true.

Question 18

You need an expression for the acceleration of the moon toward Earth.If the mass of the earth is Me,the mass of the moon Mm,the separation of Earth and moon r,and the appropriate gravitational constant is G,the correct expression for the moon's acceleration is

Accepted Answer

A) GMeMm/r2  
B) GMeMm2/r2  
C) GMm/r2  
D) GMe/r2  
E) GMe/r2Mm  
A) GMeMm/r2  
B) GMeMm2/r2  
C) GMm/r2  
D) GMe/r2  
E) GMe/r2Mm

Question 19

Halley's comet returns to the vicinity of the sun (and Earth)about once every 76 years.Its last appearance was in 1986.What is the average distance from Halley's comet to the sun,given that the average distance from Earth to the sun is 1.50 $\times$ 1011m?

Accepted Answer

A) 6.4 $\times$ 1011 m 
B) 1.8 $\times$ 1012 m 
C) 2.7 $\times$ 1012 m 
D) 1.1 $\times$ 1013 m 
E) 9.9 $\times$ 1013 m 
A) 6.4 $\times$ 1011 m 
B) 1.8 $\times$ 1012 m 
C) 2.7 $\times$ 1012 m 
D) 1.1 $\times$ 1013 m 
E) 9.9 $\times$ 1013 m

Question 20

Use the figure to the right to answer the next  problem. The orbits of two planets orbiting a star are shown.The semimajor axis of planet A is twice that of planet B.  
-If the period of planet B is TB,the period of planet A is

Accepted Answer

A) 2TB 
B)    
C) 3TB 
D)    
E) 4TB 
A) 2TB 
B)    
C) 3TB 
D)    
E) 4TB

Exam 11: Gravity

Suppose a planet exists that has half the mass of Earth and half its radius.On the surface of that planet,the acceleration due to gravity 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 speed of a satellite in this orbit?

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell.The gravitational field will be smallest at point(s)

As a satellite falls into a lower orbit,its speed _______.

An object whose mass is 4 kg experiences a gravitational force of 20 N at some point P.The gravitational field at this point is

A planet is made of two distinct materials in two layers.From the core to R/2,the density of the material is 4000 kg/m3,and from R/2 to R the density is 3000 kg/m3.What is the mass of the planet if R = 5000 km?

If the mass of a satellite is doubled while the radius of its orbit remains constant,the speed of the satellite is

The mass and radius of the planet Venus are 81% and 95% that of Earth,respectively.How much faster or slower (as a percentage)is the escape velocity from Venus compared to that of Earth?

If the mass of a planet is doubled while its radius and the radius of orbit of its moon remain constant,the speed of the moon is

An object weighs 37.0 N on Earth.If the mass of the moon is one eighty-first that of Earth and its radius one-fourth that of Earth,the weight of this object on the moon would be

If the mass and radius of Mars to Earth are 11% and 53% respectively,calculate the ratio of the escape velocity of Earth divided by that of Mars.

Four identical masses,each of mass M,are placed at the corners of a square of side L.The total potential energy of the masses is equal to -xGM 2/L,where x equals

The mean radius of Earth is about 6.436 ×\times× 106 m.A satellite in a circular orbit 3.20 ×\times× 106 m above the surface of Earth has an acceleration of approximately

If the mass of Earth is 6 ×\times× 1024 kg,the mass of the moon 7 ×\times× 1022 kg,the radius of the moon's orbit 4 ×\times× 108 m,and the value of the gravitational constant 6 ×\times× 10-11 N · m2/kg2,the force between Earth and the moon is approximately

A body experiences a gravitational force with a magnitude of 200 N in a region of space where the magnitude of the gravitational field is 10 m/s2.The mass of the body is

Which of the following statements is true?

You need an expression for the acceleration of the moon toward Earth.If the mass of the earth is Me,the mass of the moon Mm,the separation of Earth and moon r,and the appropriate gravitational constant is G,the correct expression for the moon's acceleration is

Halley's comet returns to the vicinity of the sun (and Earth)about once every 76 years.Its last appearance was in 1986.What is the average distance from Halley's comet to the sun,given that the average distance from Earth to the sun is 1.50 ×\times× 1011m?

Use the figure to the right to answer the next problem. The orbits of two planets orbiting a star are shown.The semimajor axis of planet A is twice that of planet B. -If the period of planet B is TB,the period of planet A is

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

The Electric Field I: Discrete Charge Distributions

The Electric Field Ii: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

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 speed of a satellite in this orbit?

A planet is made of two distinct materials in two layers.From the core to R/2,the density of the material is 4000 kg/m³,and from R/2 to R the density is 3000 kg/m³.What is the mass of the planet if R = 5000 km?

Four identical masses,each of mass M,are placed at the corners of a square of side L.The total potential energy of the masses is equal to -xGM ²/L,where x equals

The mean radius of Earth is about 6.436 $\times$ 10⁶ m.A satellite in a circular orbit 3.20 $\times$ 10⁶ m above the surface of Earth has an acceleration of approximately

If the mass of Earth is 6 $\times$ 10²⁴ kg,the mass of the moon 7 $\times$ 10²² kg,the radius of the moon's orbit 4 $\times$ 10⁸ m,and the value of the gravitational constant 6 $\times$ 10^-11 N · m²/kg²,the force between Earth and the moon is approximately

A body experiences a gravitational force with a magnitude of 200 N in a region of space where the magnitude of the gravitational field is 10 m/s².The mass of the body is

You need an expression for the acceleration of the moon toward Earth.If the mass of the earth is M_e,the mass of the moon M_m,the separation of Earth and moon r,and the appropriate gravitational constant is G,the correct expression for the moon's acceleration is

Halley's comet returns to the vicinity of the sun (and Earth)about once every 76 years.Its last appearance was in 1986.What is the average distance from Halley's comet to the sun,given that the average distance from Earth to the sun is 1.50 $\times$ 10¹¹m?

Use the figure to the right to answer the next problem. The orbits of two planets orbiting a star are shown.The semimajor axis of planet A is twice that of planet B. -If the period of planet B is T_B,the period of planet A is