Question 1

In the SI system, the units for gravitational field are

Accepted Answer

A)  kg · m/s2  
B)  m/s2  
C)  kg2/m2  
D)  N/m 
E)  None of these is correct. 
A)  kg · m/s2  
B)  m/s2  
C)  kg2/m2  
D)  N/m 
E)  None of these is correct.

Question 2

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 3

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 4

Which of the following statements is one of Kepler's three laws of planetary motion?

Accepted Answer

A)  A line joining any planet to the sun sweeps out equal areas in equal times. 
B)  Only an odd number of planets can orbit the sun. 
C)  The period of any planet about the sun is proportional to the planet's distance from the sun. 
D)  All planets move in elliptical orbits with Earth at one focus. 
E)  F = GMm/R2  
A)  A line joining any planet to the sun sweeps out equal areas in equal times. 
B)  Only an odd number of planets can orbit the sun. 
C)  The period of any planet about the sun is proportional to the planet's distance from the sun. 
D)  All planets move in elliptical orbits with Earth at one focus. 
E)  F = GMm/R2

Question 5

A satellite of 1000 kg is in a circular orbit at a height of RE above the surface of Earth. Calculate the minimum energy required to put such a satellite into this orbit. (RE = 6.38 $\times$ 106 m, ME = 5.98 $\times$1024 kg, G = 6.67 $\times$ 10-11 N·m2/kg2)

Accepted Answer

A)  3.13 $\times$ 1010 J 
B)  8.34 $\times$ 1010 J 
C)  4.69 $\times$ 1010 J 
D)  6.25 $\times$ 1010 J 
E)  1.56 $\times$ 1010 J 
A)  3.13 $\times$ 1010 J 
B)  8.34 $\times$ 1010 J 
C)  4.69 $\times$ 1010 J 
D)  6.25 $\times$ 1010 J 
E)  1.56 $\times$ 1010 J

Question 6

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 7

Kepler's law of the harmonic (the period-distance relationship) is an example of

Accepted Answer

A)  a linear function. 
B)  a power function. 
C)  an exponential function. 
D)  a polynomial function. 
E)  a sinusoidal function. 
A)  a linear function. 
B)  a power function. 
C)  an exponential function. 
D)  a polynomial function. 
E)  a sinusoidal function.

Question 8

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 9

The acceleration due to gravity in the vicinity of Earth

Accepted Answer

A)  varies directly with the distance from the center of Earth. 
B)  is a constant that is independent of altitude. 
C)  varies inversely with the distance from the center of Earth. 
D)  varies inversely with the square of the distance from the center of Earth. 
E)  is described by none of these. 
A)  varies directly with the distance from the center of Earth. 
B)  is a constant that is independent of altitude. 
C)  varies inversely with the distance from the center of Earth. 
D)  varies inversely with the square of the distance from the center of Earth. 
E)  is described by none of these.

Question 10

A satellite whose mass is 1000 kg is in a circular orbit 1000 km above the surface of the earth. A space scientist wants to transfer the satellite to a circular orbit 1500 km above the surface. The amount of work that must be done to accomplish this is

Accepted Answer

A)  3.43 GJ 
B)  1.71 GJ 
C)  -1.71 GJ 
D)  66.5 GJ 
E)  -3.43 GJ 
A)  3.43 GJ 
B)  1.71 GJ 
C)  -1.71 GJ 
D)  66.5 GJ 
E)  -3.43 GJ

Question 11

Five homogeneous planets have relative masses and sizes as shown in the figure. A body of mass m would weigh least on which planet?

Accepted Answer

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

Question 12

If the mass of a planet is doubled with no increase in its size, the escape speed for that planet is

Accepted Answer

A)  increased by a factor of 1.4. 
B)  increased by a factor of 2. 
C)  not changed. 
D)  reduced by a factor of 1.4. 
E)  reduced by a factor of 2. 
A)  increased by a factor of 1.4. 
B)  increased by a factor of 2. 
C)  not changed. 
D)  reduced by a factor of 1.4. 
E)  reduced by a factor of 2.

Question 13

The constant of universal gravitation is

Accepted Answer

A)  ~9.81 m/s2  
B)  ~6.67 $\times$ 10-11 N · m2/kg2  
C)  ~the gravitational attraction between the masses of any two bodies. 
D)  ~the ratio of the forces of attraction between any two masses. 
E)  None of these is correct. 
A)  ~9.81 m/s2  
B)  ~6.67 $\times$ 10-11 N · m2/kg2  
C)  ~the gravitational attraction between the masses of any two bodies. 
D)  ~the ratio of the forces of attraction between any two masses. 
E)  None of these is correct.

Question 14

You are in a spaceship that has a mass of 13 $\times$ 104 kg and is 2.2 $\times$ 1012 m from a black hole near the center of the galaxy. The gravitational force exerted by the black hole on the spaceship is 46 N. The force on the ship when it has moved to one-third of its original distance from the black hole is

Accepted Answer

A)  410 N 
B)  140 N 
C)  150 N 
D)  5.0 N 
E)  730 N 
A)  410 N 
B)  140 N 
C)  150 N 
D)  5.0 N 
E)  730 N

Question 15

A space rocket is launched such that very far from Earth it has a speed of 20 km/s. What was its initial launch speed from the surface of Earth? (RE = 6.38 $\times$ 106 m, ME = 5.98 $\times$ 1024 kg, G = 6.67 $\times$ 10-11 N·m2/kg2)

Accepted Answer

A)  22.9 km/s 
B)  20.0 km/s 
C)  45.8 km/s 
D)  21.5 km/s 
E)  25.5 km/s 
A)  22.9 km/s 
B)  20.0 km/s 
C)  45.8 km/s 
D)  21.5 km/s 
E)  25.5 km/s

Question 16

What is the escape speed from the sun, beginning (from rest relative to the sun) at the orbit of Earth, R = 1.50 $\times$ 108 km. (Given: G = 6.67 $\times$ 10-11 N · m2/kg2; mass of the sun = 2.0 $\times$ 1030 kg.)

Accepted Answer

A)  3.0 $\times$ 104 m/s 
B)  2.1 $\times$ 104 m/s 
C)  1.3 $\times$ 106 m/s 
D)  9.4 $\times$105 m/s 
E)  4.2 $\times$ 104 m/s 
A)  3.0 $\times$ 104 m/s 
B)  2.1 $\times$ 104 m/s 
C)  1.3 $\times$ 106 m/s 
D)  9.4 $\times$105 m/s 
E)  4.2 $\times$ 104 m/s

Question 17

With what velocity must a body be projected vertically upward from the earth's surface, in the absence of friction, to rise to a height equal to the earth's radius (6400 km)?

Accepted Answer

A)  4.3 $\times$ 105 m/s 
B)  2.6 $\times$ 103 m/s 
C)  105 m/s 
D)  3.6 $\times$ 102 m/s 
E)  7.9 $\times$ 103 m/s 
A)  4.3 $\times$ 105 m/s 
B)  2.6 $\times$ 103 m/s 
C)  105 m/s 
D)  3.6 $\times$ 102 m/s 
E)  7.9 $\times$ 103 m/s

Question 18

A body experiences a gravitational force with a magnitude of 100 N in a region of space where the magnitude of the gravitational field is 20 m/s2. The mass of the body is

Accepted Answer

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

Question 19

A satellite with a mass m is in a stable circular orbit about a planet with a mass M. The universal gravitational constant is G. The radius of the orbit is R. The ratio of the potential energy of the satellite to its kinetic energy is

Accepted Answer

A)  -2R 
B)  +2G 
C)  -2G/R 
D)  -2 
E)  2G/R 
A)  -2R 
B)  +2G 
C)  -2G/R 
D)  -2 
E)  2G/R

Question 20

If a planet has a mass twice that of Earth and a radius four times that of Earth, the ratio of the acceleration due to gravity on the planet to that on Earth is

Accepted Answer

A)  1/8 
B)  1/2 
C)  1/16 
D)  2/1 
E)  12/1 
A)  1/8 
B)  1/2 
C)  1/16 
D)  2/1 
E)  12/1

In the SI system, the units for gravitational field are

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

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

Which of the following statements is one of Kepler's three laws of planetary motion?

A satellite of 1000 kg is in a circular orbit at a height of R_Eabove the surface of Earth. Calculate the minimum energy required to put such a satellite into this orbit. (R_E = 6.38 $\times$ 10⁶ m, M_E = 5.98 $\times$ 10²⁴ kg, G = 6.67 $\times$ 10^-11 N·m²/kg²)

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

Kepler's law of the harmonic (the period-distance relationship) is an example of

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?

The acceleration due to gravity in the vicinity of Earth

A satellite whose mass is 1000 kg is in a circular orbit 1000 km above the surface of the earth. A space scientist wants to transfer the satellite to a circular orbit 1500 km above the surface. The amount of work that must be done to accomplish this is

Five homogeneous planets have relative masses and sizes as shown in the figure. A body of mass m would weigh least on which planet?

If the mass of a planet is doubled with no increase in its size, the escape speed for that planet is

The constant of universal gravitation is

A space rocket is launched such that very far from Earth it has a speed of 20 km/s. What was its initial launch speed from the surface of Earth? (R_E = 6.38 $\times$ 10⁶ m, M_E = 5.98 $\times$ 10²⁴ kg, G = 6.67 $\times$ 10^-11 N·m²/kg²)

What is the escape speed from the sun, beginning (from rest relative to the sun) at the orbit of Earth, R = 1.50 $\times$ 10⁸ km. (Given: G = 6.67 $\times$ 10^-11 N · m²/kg²; mass of the sun = 2.0 $\times$ 10³⁰ kg.)

With what velocity must a body be projected vertically upward from the earth's surface, in the absence of friction, to rise to a height equal to the earth's radius (6400 km)?

A body experiences a gravitational force with a magnitude of 100 N in a region of space where the magnitude of the gravitational field is 20 m/s². The mass of the body is

A satellite with a mass m is in a stable circular orbit about a planet with a mass M. The universal gravitational constant is G. The radius of the orbit is R. The ratio of the potential energy of the satellite to its kinetic energy is

If a planet has a mass twice that of Earth and a radius four times that of Earth, the ratio of the acceleration due to gravity on the planet to that on Earth is

Systems of Measurement

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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

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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

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Exam 11: Gravity

In the SI system, the units for gravitational field are

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

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

Which of the following statements is one of Kepler's three laws of planetary motion?

A satellite of 1000 kg is in a circular orbit at a height of RE above the surface of Earth. Calculate the minimum energy required to put such a satellite into this orbit. (RE = 6.38 ×\times× 106 m, ME = 5.98 ×\times× 1024 kg, G = 6.67 ×\times× 10-11 N·m2/kg2)

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

Kepler's law of the harmonic (the period-distance relationship) is an example of

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?

The acceleration due to gravity in the vicinity of Earth

A satellite whose mass is 1000 kg is in a circular orbit 1000 km above the surface of the earth. A space scientist wants to transfer the satellite to a circular orbit 1500 km above the surface. The amount of work that must be done to accomplish this is

Five homogeneous planets have relative masses and sizes as shown in the figure. A body of mass m would weigh least on which planet?

If the mass of a planet is doubled with no increase in its size, the escape speed for that planet is

The constant of universal gravitation is

A space rocket is launched such that very far from Earth it has a speed of 20 km/s. What was its initial launch speed from the surface of Earth? (RE = 6.38 ×\times× 106 m, ME = 5.98 ×\times× 1024 kg, G = 6.67 ×\times× 10-11 N·m2/kg2)

What is the escape speed from the sun, beginning (from rest relative to the sun) at the orbit of Earth, R = 1.50 ×\times× 108 km. (Given: G = 6.67 ×\times× 10-11 N · m2/kg2; mass of the sun = 2.0 ×\times× 1030 kg.)

With what velocity must a body be projected vertically upward from the earth's surface, in the absence of friction, to rise to a height equal to the earth's radius (6400 km)?

A body experiences a gravitational force with a magnitude of 100 N in a region of space where the magnitude of the gravitational field is 20 m/s2. The mass of the body is

A satellite with a mass m is in a stable circular orbit about a planet with a mass M. The universal gravitational constant is G. The radius of the orbit is R. The ratio of the potential energy of the satellite to its kinetic energy is

If a planet has a mass twice that of Earth and a radius four times that of Earth, the ratio of the acceleration due to gravity on the planet to that on Earth 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

Filters

A satellite of 1000 kg is in a circular orbit at a height of R_Eabove the surface of Earth. Calculate the minimum energy required to put such a satellite into this orbit. (R_E = 6.38 $\times$ 10⁶ m, M_E = 5.98 $\times$ 10²⁴ kg, G = 6.67 $\times$ 10^-11 N·m²/kg²)

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?

A space rocket is launched such that very far from Earth it has a speed of 20 km/s. What was its initial launch speed from the surface of Earth? (R_E = 6.38 $\times$ 10⁶ m, M_E = 5.98 $\times$ 10²⁴ kg, G = 6.67 $\times$ 10^-11 N·m²/kg²)

What is the escape speed from the sun, beginning (from rest relative to the sun) at the orbit of Earth, R = 1.50 $\times$ 10⁸ km. (Given: G = 6.67 $\times$ 10^-11 N · m²/kg²; mass of the sun = 2.0 $\times$ 10³⁰ kg.)

A body experiences a gravitational force with a magnitude of 100 N in a region of space where the magnitude of the gravitational field is 20 m/s². The mass of the body is