Question 1

A baseball is located at the surface of the earth.Which statements about it are correct? (There may be more than one correct choice.)

Accepted Answer

A)  The earth exerts a much greater gravitational force on the ball than the ball exerts on the earth. 
B)  The ball exerts a greater gravitational force on the earth than the earth exerts on the ball. 
C)  The gravitational force on the ball due to the earth is exactly the same as the gravitational force on the earth due to the ball. 
D)  The gravitational force on the ball is independent of the mass of the ball. 
E)  The gravitational force on the ball is independent of the mass of the earth. 
A)  The earth exerts a much greater gravitational force on the ball than the ball exerts on the earth. 
B)  The ball exerts a greater gravitational force on the earth than the earth exerts on the ball. 
C)  The gravitational force on the ball due to the earth is exactly the same as the gravitational force on the earth due to the ball. 
D)  The gravitational force on the ball is independent of the mass of the ball. 
E)  The gravitational force on the ball is independent of the mass of the earth.

Question 2

A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

Accepted Answer

A)  4T. 
B)  2T. 
C)  T   
D)  T/2. 
E)  T/4. 
A)  4T. 
B)  2T. 
C)  T   
D)  T/2. 
E)  T/4.

Question 3

What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt.Everest (an altitude of 8.85 km)? The radius of the earth is   .

Accepted Answer

A)  1.0007 
B)  1.0014 
C)  1.0001 
D)  0.9986 
E)  0.9993 
A)  1.0007 
B)  1.0014 
C)  1.0001 
D)  0.9986 
E)  0.9993

Question 4

A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface.If this object is moved 500 km farther from the planet,the gravitational force on it will be closest to

Accepted Answer

A)  75 N. 
B)  71 N. 
C)  56 N. 
D)  50 N. 
E)  25 N. 
A)  75 N. 
B)  71 N. 
C)  56 N. 
D)  50 N. 
E)  25 N.

Question 5

Three identical very small 50-kg masses are held at the corners of an equilateral triangle,0.30 m on each side.If one of the masses is released,what is its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses?

Accepted Answer

A)  3.7 × 10-8 m/s2 
B)  2.5 × 10-8 m/s2 
C)  1.9 × 10-8 m/s2 
D)  4.2 × 10-8 m/s2 
E)  6.4 × 10-8 m/s2 
A)  3.7 × 10-8 m/s2 
B)  2.5 × 10-8 m/s2 
C)  1.9 × 10-8 m/s2 
D)  4.2 × 10-8 m/s2 
E)  6.4 × 10-8 m/s2

Question 6

A satellite of mass m has an orbital period T when it is in a circular orbit of radius R around the earth.If the satellite instead had mass 4m,its orbital period would be

Accepted Answer

A)  4T. 
B)  2T. 
C)  T. 
D)  T/2. 
E)  T/4. 
A)  4T. 
B)  2T. 
C)  T. 
D)  T/2. 
E)  T/4.

Question 7

A planet has two small satellites in circular orbits around the planet.The first satellite has a period 12.0 hours and an orbital radius 6.00 × 107 m.The second planet has a period 16.0 hours.What is the orbital radius of the second satellite?

Accepted Answer

A)  4.50 × 107 
B)  3.90 × 107 
C)  9.24 × 107 
D)  8.00 × 107 
E)  7.27 × 107 
A)  4.50 × 107 
B)  3.90 × 107 
C)  9.24 × 107 
D)  8.00 × 107 
E)  7.27 × 107

Question 8

An object drops a distance h in a time of 6.3 s on the surface of the earth (neglecting air effects).How long would it take the same object to drop the same distance on the surface of spherical asteroid X having a mass of 1.1 × 1022 kg and a radius of 4.0 × 105 m?   ,Mearth = 5.97 × 1024 kg,Rearth = 6.38 × 106 m)

Accepted Answer

A)  9.2 s 
B)  6.3 s 
C)  5.2 s 
D)  12 s 
E)  3.3 s 
A)  9.2 s 
B)  6.3 s 
C)  5.2 s 
D)  12 s 
E)  3.3 s

Question 9

A satellite that weighs 4900 N on the launchpad travels around the earth's equator in a circular orbit with a period of 1.667 h.The earth's mass is 5.97 × 1024 kg,its equatorial radius is 6.3 × 106 m,and G = 6.67 × 10-11 N • m2/kg2.
(a)Calculate the magnitude of the earth's gravitational force on the satellite.
(b)Determine the altitude of the satellite above the Earth's SURFACE.

Accepted Answer

(a)3910 N

Question 10

An astronaut is in equilibrium when he is positioned   from the center of asteroid X and   from the center of asteroid Y,along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids?

Accepted Answer

A)  0.0581 
B)  17.2 
C)  0.241 
D)  4.15 
A)  0.0581 
B)  17.2 
C)  0.241 
D)  4.15

Exam 13: Gravitation

A baseball is located at the surface of the earth.Which statements about it are correct? (There may be more than one correct choice.)

A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt.Everest (an altitude of 8.85 km)? The radius of the earth is .

A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface.If this object is moved 500 km farther from the planet,the gravitational force on it will be closest to

Three identical very small 50-kg masses are held at the corners of an equilateral triangle,0.30 m on each side.If one of the masses is released,what is its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses?

A satellite of mass m has an orbital period T when it is in a circular orbit of radius R around the earth.If the satellite instead had mass 4m,its orbital period would be

A planet has two small satellites in circular orbits around the planet.The first satellite has a period 12.0 hours and an orbital radius 6.00 × 107 m.The second planet has a period 16.0 hours.What is the orbital radius of the second satellite?

An astronaut is in equilibrium when he is positioned from the center of asteroid X and from the center of asteroid Y,along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids?

Units,physical Quantities,and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum,impulse,and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current,resistance,and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

A planet has two small satellites in circular orbits around the planet.The first satellite has a period 12.0 hours and an orbital radius 6.00 × 10⁷ m.The second planet has a period 16.0 hours.What is the orbital radius of the second satellite?