Question 1

An astronaut on the surface of a strange planet observes that the acceleration of gravity is 7 m/s2.What could be an explanation of this phenomenon?

Accepted Answer

A) The mass of the planet is the same as that of Earth,but the radius is smaller. 
B) The mass of the planet is less than that of Earth,and the radius is the same. 
C) The mass of the planet is less than that of Earth,and the radius is bigger. 
D) The mass of the planet is more than that of Earth,and the radius is the same. 
E) Both B and C could explain it. 
A) The mass of the planet is the same as that of Earth,but the radius is smaller. 
B) The mass of the planet is less than that of Earth,and the radius is the same. 
C) The mass of the planet is less than that of Earth,and the radius is bigger. 
D) The mass of the planet is more than that of Earth,and the radius is the same. 
E) Both B and C could explain it. E

Question 2

Four identical subatomic particles,each of mass m,are initially at rest and located on the four corners of a square,one at each corner.The length of each side of the square is L.There aren't any other forces on the particles besides the gravitational force.What is the magnitude of their initial accelerations?

Accepted Answer

A) Gm/L2 
B) 2Gm/L2 
C) 3Gm/L2 
D) None are correct. 
A) Gm/L2 
B) 2Gm/L2 
C) 3Gm/L2 
D) None are correct. D

Question 3

What is the escape speed from a spherical asteroid of radius 15 km,whose mass density is approximately half that of the Earth,or 2.8 g/cm3?

Accepted Answer

A) 11m/s 
B) 16 m/s 
C) 19 m/s 
D) 2300 m/s 
E) More information is needed. 
A) 11m/s 
B) 16 m/s 
C) 19 m/s 
D) 2300 m/s 
E) More information is needed. C

Question 4

A spherical planet has twice the mass and twice the radius of the Earth.If a man weighs 810 N on Earth,what would his weight be on the surface of that planet?

Accepted Answer

A) 405 N 
B) 810 N 
C) 1215 N 
D) 1620 N 
E) 2025 N 
A) 405 N 
B) 810 N 
C) 1215 N 
D) 1620 N 
E) 2025 N

Question 5

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has the same mass and radius R = 106 m,and the center-to-center distance between any two planets is 10 R.What is the mass of one of the three planets?

Accepted Answer

A) 1.00 * 1024 kg 
B) 1.15 * 1024 kg 
C) 7.81 * 1024 kg 
D) 2.29 * 1024 kg 
E) 3.56 * 1024 kg 
A) 1.00 * 1024 kg 
B) 1.15 * 1024 kg 
C) 7.81 * 1024 kg 
D) 2.29 * 1024 kg 
E) 3.56 * 1024 kg

Question 6

What is the difference in the acceleration due to gravity between your head and your feet.Assume your height is 1.80 m. Mass of the Earth: 5.98 * 1024 kg
Radius of the Earth: 6.38 * 106 m

Accepted Answer

A) Zero,they are exactly the same. 
B) 1.57 * 10-7 m/s2 
C) 2.77 * 10-6 m/s2 
D) 5.53 * 10-6 m/s2 
E) 2.77 * 10-3 m/s2 
A) Zero,they are exactly the same. 
B) 1.57 * 10-7 m/s2 
C) 2.77 * 10-6 m/s2 
D) 5.53 * 10-6 m/s2 
E) 2.77 * 10-3 m/s2

Question 7

A particle of mass m is located at a distance r from the center of a sphere of mass M and radius R.The force on the particle as a function of distance r,inside the sphere is given by

Accepted Answer

A) -GMmr/R. 
B) -GMmr/R2. 
C) -GMmr/R3. 
D) -GMm/R2. 
E) -GMm/r2. 
A) -GMmr/R. 
B) -GMmr/R2. 
C) -GMmr/R3. 
D) -GMm/R2. 
E) -GMm/r2.

Question 8

Two stars,S1 and S2,attract each other gravitationally with a force of magnitude

Accepted Answer

A) 1/4CF. 
B) 1/2 F. 
C) F. 
D) 2 F. 
E) 4 F. 
A) 1/4CF. 
B) 1/2 F. 
C) F. 
D) 2 F. 
E) 4 F.

Question 9

The figure shows a system of three masses.What is the direction of the gravitational force on the 10-kg mass? The center-to-center distances between masses are shown in the diagram.

Accepted Answer

A) 170.1S1U1P1$\circ$S1S1P0 
B) 9.9S1U1P1$\circ$S1S1P0 
C) 5.5S1U1P1$\circ$S1S1P0 
D) 174.5º 
E) 164.5º 
A) 170.1S1U1P1$\circ$S1S1P0 
B) 9.9S1U1P1$\circ$S1S1P0 
C) 5.5S1U1P1$\circ$S1S1P0 
D) 174.5º 
E) 164.5º

Question 10

For two identical satellites in circular motions around the Earth which statement is true?

Accepted Answer

A) The one in the lower orbit has less total energy. 
B) The one in the higher orbit has more kinetic energy. 
C) The one in the lower orbit has more total energy. 
D) Both have the same total energy. 
A) The one in the lower orbit has less total energy. 
B) The one in the higher orbit has more kinetic energy. 
C) The one in the lower orbit has more total energy. 
D) Both have the same total energy.

Question 11

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has mass M = 1024 kg,radius R ,and the center-to-center distance between any two planets is 10 R.What is the radius of one of the three planets?

Accepted Answer

A) 2.29 * 106 m 
B) 1.00 * 106 m 
C) 4.29 * 106 m 
D) 4.37 * 105 m 
E) 9.42 * 105 m 
A) 2.29 * 106 m 
B) 1.00 * 106 m 
C) 4.29 * 106 m 
D) 4.37 * 105 m 
E) 9.42 * 105 m

Question 12

How much energy does it take to move a 300-kg satellite from an orbit 300 km above the Earth's surface to an orbit 600 km above the Earth's surface?

Accepted Answer

A) 7.72 * 108 J 
B) 3.86 * 108 J 
C) 8.82 * 108 J 
D) 4.35 * 108 J 
E) 6.56 * 108 J 
A) 7.72 * 108 J 
B) 3.86 * 108 J 
C) 8.82 * 108 J 
D) 4.35 * 108 J 
E) 6.56 * 108 J

Question 13

The free fall acceleration at the altitude h is 9.00 m/s2.If R is the radius of the Earth,then the altitude h is

Accepted Answer

A) 0.400 R. 
B) 0.279 R. 
C) 0.184 R. 
D) 0.107 R. 
E) 0.0450 R. 
A) 0.400 R. 
B) 0.279 R. 
C) 0.184 R. 
D) 0.107 R. 
E) 0.0450 R.

Question 14

The figure shows a system of three masses.If the 30-kg mass is released,what is the magnitude of its initial acceleration? The center-to-center distances between masses are shown in the diagram.

Accepted Answer

A) 4.96 * 10-9 m/s2 
B) 9.04 * 10-9 m/s2 
C) 6.38 * 10-9 m/s2 
D) 3.58 * 10-9 m/s2 
E) 3.97 * 10-9 m/s2 
A) 4.96 * 10-9 m/s2 
B) 9.04 * 10-9 m/s2 
C) 6.38 * 10-9 m/s2 
D) 3.58 * 10-9 m/s2 
E) 3.97 * 10-9 m/s2

Question 15

You wish to place a geo-stationary satellite to study Jupiter's Great Red Spot,how high above the surface must it be placed? Possibly useful information:
Mass of Jupiter: 1.90 * 1027 kg
Radius of Jupiter: 7.15 * 107 m
Rotational Period: 9.925 h

Accepted Answer

A) 6.82 * 105 m 
B) 1.95 * 108 m 
C) 8.85 * 107 m 
D) 4.10 * 1024 m 
E) 2.66 * 1019 m 
A) 6.82 * 105 m 
B) 1.95 * 108 m 
C) 8.85 * 107 m 
D) 4.10 * 1024 m 
E) 2.66 * 1019 m

Question 16

A spaceship is fired from the Earth's surface with a speed of v.The radius of the Earth is R,the mass of the Earth is M,and the universal gravitational constant is

Accepted Answer

A)    
B)    
C)    
D)    
E) None are correct. 
A)    
B)    
C)    
D)    
E) None are correct.

Question 17

What is the orbital velocity of a 100-kg satellite orbiting at an altitude of 1000 km above the surface of the Earth?

Accepted Answer

A) 12430 m/s 
B) 7360 m/s 
C) 2450 m/s 
D) 5420 m/s 
E) 8760 m/s 
A) 12430 m/s 
B) 7360 m/s 
C) 2450 m/s 
D) 5420 m/s 
E) 8760 m/s

Question 18

A 51-kg satellite is put into orbit 37,000 km above the Earth's surface.What is its kinetic energy?

Accepted Answer

A) 456.9 kJ 
B) 663.6 kJ 
C) 866.7 kJ 
D) 103.3 MJ 
E) 235.1 MJ 
A) 456.9 kJ 
B) 663.6 kJ 
C) 866.7 kJ 
D) 103.3 MJ 
E) 235.1 MJ

Question 19

The mass of Jupiter is 1.9 * 1027 kg and its radius 7.14 * 107 m.The gravitational field strength at its surface is

Accepted Answer

A) 32.5 N/kg. 
B) 24.9 N/kg. 
C) 18.5 N/kg. 
D) 12.6 N/kg. 
E) 10.8 N/kg. 
A) 32.5 N/kg. 
B) 24.9 N/kg. 
C) 18.5 N/kg. 
D) 12.6 N/kg. 
E) 10.8 N/kg.

Question 20

A satellite is put into orbit 37,000 km above the Earth's surface and has a kinetic energy of 105 MJ.What is the mass of the satellite?

Accepted Answer

A) 23 kg 
B) 51 kg 
C) 18 kg 
D) 32 kg 
E) 120 kg 
A) 23 kg 
B) 51 kg 
C) 18 kg 
D) 32 kg 
E) 120 kg

Exam 12: Gravitation

An astronaut on the surface of a strange planet observes that the acceleration of gravity is 7 m/s2.What could be an explanation of this phenomenon?

What is the escape speed from a spherical asteroid of radius 15 km,whose mass density is approximately half that of the Earth,or 2.8 g/cm3?

A spherical planet has twice the mass and twice the radius of the Earth.If a man weighs 810 N on Earth,what would his weight be on the surface of that planet?

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has the same mass and radius R = 106 m,and the center-to-center distance between any two planets is 10 R.What is the mass of one of the three planets?

What is the difference in the acceleration due to gravity between your head and your feet.Assume your height is 1.80 m. Mass of the Earth: 5.98 * 1024 kg Radius of the Earth: 6.38 * 106 m

A particle of mass m is located at a distance r from the center of a sphere of mass M and radius R.The force on the particle as a function of distance r,inside the sphere is given by

Two stars,S1 and S2,attract each other gravitationally with a force of magnitude

The figure shows a system of three masses.What is the direction of the gravitational force on the 10-kg mass? The center-to-center distances between masses are shown in the diagram.

For two identical satellites in circular motions around the Earth which statement is true?

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has mass M = 1024 kg,radius R ,and the center-to-center distance between any two planets is 10 R.What is the radius of one of the three planets?

How much energy does it take to move a 300-kg satellite from an orbit 300 km above the Earth's surface to an orbit 600 km above the Earth's surface?

The free fall acceleration at the altitude h is 9.00 m/s2.If R is the radius of the Earth,then the altitude h is

The figure shows a system of three masses.If the 30-kg mass is released,what is the magnitude of its initial acceleration? The center-to-center distances between masses are shown in the diagram.

You wish to place a geo-stationary satellite to study Jupiter's Great Red Spot,how high above the surface must it be placed? Possibly useful information: Mass of Jupiter: 1.90 * 1027 kg Radius of Jupiter: 7.15 * 107 m Rotational Period: 9.925 h

A spaceship is fired from the Earth's surface with a speed of v.The radius of the Earth is R,the mass of the Earth is M,and the universal gravitational constant is

What is the orbital velocity of a 100-kg satellite orbiting at an altitude of 1000 km above the surface of the Earth?

A 51-kg satellite is put into orbit 37,000 km above the Earth's surface.What is its kinetic energy?

The mass of Jupiter is 1.9 * 1027 kg and its radius 7.14 * 107 m.The gravitational field strength at its surface is

A satellite is put into orbit 37,000 km above the Earth's surface and has a kinetic energy of 105 MJ.What is the mass of the satellite?

Overview

Motion in a Straight Line

Motion in Two and Three Dimensions

Force

Kinetic Energy, work, and Power

Potential Energy and Energy Conservation

Momentum and Collisions

Systems of Particles and Extended Objects

Circular Motion

Rotation

Static Equilibrium

Solids and Fluids

Oscillations

Waves

Sound

Temperature

Heat and the First Law of Thermodynamics

Ideal Gases

The Second Law of Thermodynamics

Electrostatics

Electric Fields and Gausss Law

Electric Potential

Capacitors

Current and Resistance

Direct Current Circuits

Magnetism

Magnetic Fields of Moving Charges

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

Geometric Optics

Lenses and Optical Instruments

Wave Optics

Relativity

Quantum Physics

Quantum Mechanics

Atomic Physics

Elementary Particle Physics

Nuclear Physics

Filters

An astronaut on the surface of a strange planet observes that the acceleration of gravity is 7 m/s².What could be an explanation of this phenomenon?

What is the escape speed from a spherical asteroid of radius 15 km,whose mass density is approximately half that of the Earth,or 2.8 g/cm³?

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has the same mass and radius R = 10⁶ m,and the center-to-center distance between any two planets is 10 R.What is the mass of one of the three planets?

What is the difference in the acceleration due to gravity between your head and your feet.Assume your height is 1.80 m. Mass of the Earth: 5.98 * 10²⁴ kg Radius of the Earth: 6.38 * 10⁶ m

The escape velocity of a rocket launched from position A,the center of the three planet system depicted in the figure is 12.6 km/s.Each planet has mass M = 10²⁴ kg,radius R ,and the center-to-center distance between any two planets is 10 R.What is the radius of one of the three planets?

The free fall acceleration at the altitude h is 9.00 m/s².If R is the radius of the Earth,then the altitude h is

You wish to place a geo-stationary satellite to study Jupiter's Great Red Spot,how high above the surface must it be placed? Possibly useful information: Mass of Jupiter: 1.90 * 10²⁷ kg Radius of Jupiter: 7.15 * 10⁷ m Rotational Period: 9.925 h

The mass of Jupiter is 1.9 * 10²⁷ kg and its radius 7.14 * 10⁷ m.The gravitational field strength at its surface is