Question 1

Gravitational force: A very small round ball is located near a large solid sphere of uniform density. The force that the large sphere exerts on the ball

Accepted Answer

A)  is exactly the same as it would be if all the mass of the sphere were concentrated at the center of the sphere. 
B)  is approximately the same as it would be if all the mass of the sphere were concentrated at the center of the sphere. 
C)  is independent of the mass of the ball. 
D)  is independent of the mass of the sphere. 
E)  can only be calculated using calculus. 
A)  is exactly the same as it would be if all the mass of the sphere were concentrated at the center of the sphere. 
B)  is approximately the same as it would be if all the mass of the sphere were concentrated at the center of the sphere. 
C)  is independent of the mass of the ball. 
D)  is independent of the mass of the sphere. 
E)  can only be calculated using calculus.

Question 2

Satellites: Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at   from the asteroid's center, he should maintain a speed of   What is the mass of planet X? (G = 6.67 × 10-11 N ∙ m2/kg2)

Accepted Answer

A)  4.0 × 1019 kg 
B)  5.1 × 1017 kg 
C)  4.0 × 1016 kg 
D)  5.1 × 1014 kg 
A)  4.0 × 1019 kg 
B)  5.1 × 1017 kg 
C)  4.0 × 1016 kg 
D)  5.1 × 1014 kg

Question 3

Satellites: The International Space Station is orbiting at an altitude of about 370 km above the earth's surface. The mass of the earth is 5.97 × 1024 kg, the radius of the earth is 6.38 × 106 m, and G = 6.67 × 10-11 N ∙ m2/kg2. Assuming a circular orbit,
(a) what is the period of the International Space Station's orbit?
(b) what is the speed of the International Space Station in its orbit?

Accepted Answer

(a) 5.52 ×

Question 4

Gravitational potential energy: A huge cannon is assembled on an airless planet having insignificant axial spin. The planet has a radius of 5.00 × 106 m and a mass of 3.95 × 1023 kg. The cannon fires a projectile straight up at 2000 m/s. An observation satellite orbits the planet at a height of 1000 km. What is the projectile's speed as it passes the satellite? (G = 6.67 × 10-11 N ∙ m2/kg2)

Accepted Answer

A)  1500 m/s 
B)  1380 m/s 
C)  1610 m/s 
D)  1280 m/s 
A)  1500 m/s 
B)  1380 m/s 
C)  1610 m/s 
D)  1280 m/s

Question 5

Weight and g: The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2?

Accepted Answer

A)  0.41R 
B)  0.50R 
C)  1.0R 
D)  1.4R 
E)  2.0R 
A)  0.41R 
B)  0.50R 
C)  1.0R 
D)  1.4R 
E)  2.0R

Question 6

Kepler's laws: Because the earth's orbit is slightly elliptical, the earth actually gets closer to the sun during part of the year. When the earth is closer to the sun its orbital speed is

Accepted Answer

A)  less than when the earth is farthest away from the sun. 
B)  the same as when the earth is farthest away from the sun. 
C)  greater than when the earth is farthest away from the sun. 
A)  less than when the earth is farthest away from the sun. 
B)  the same as when the earth is farthest away from the sun. 
C)  greater than when the earth is farthest away from the sun.

Question 7

Escape speed: A satellite is in circular orbit at an altitude of 2300 km above the surface of a nonrotating asteroid with an orbital speed of 5.9 km/s. The minimum speed needed to escape from the surface of the asteroid is 14.6 km/s, and G = 6.67 × 10-11 N ∙ m2/kg2. The mass of the asteroid is closest to

Accepted Answer

A)  1.8 × 1024 kg. 
B)  8.9 × 1023 kg. 
C)  1.3 × 1024 kg. 
D)  2.7 × 1024 kg. 
E)  3.6 × 1024 kg. 
A)  1.8 × 1024 kg. 
B)  8.9 × 1023 kg. 
C)  1.3 × 1024 kg. 
D)  2.7 × 1024 kg. 
E)  3.6 × 1024 kg.

Question 8

Gravitational force: 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 9

Satellites: 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.

Gravitational force: A very small round ball is located near a large solid sphere of uniform density. The force that the large sphere exerts on the ball

Satellites: Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at from the asteroid's center, he should maintain a speed of What is the mass of planet X? (G = 6.67 × 10^-11 N ∙ m²/kg²)

Weight and g: The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s²?

Kepler's laws: Because the earth's orbit is slightly elliptical, the earth actually gets closer to the sun during part of the year. When the earth is closer to the sun its orbital speed is

Gravitational force: 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

Satellites: 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

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

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

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 Optics

The Nature and Propagation of Light

Geometric Optics

Interference

Filters

Exam 10: Dynamics of Rotational Motion

Gravitational force: A very small round ball is located near a large solid sphere of uniform density. The force that the large sphere exerts on the ball

Satellites: Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at from the asteroid's center, he should maintain a speed of What is the mass of planet X? (G = 6.67 × 10-11 N ∙ m2/kg2)

Weight and g: The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2?

Kepler's laws: Because the earth's orbit is slightly elliptical, the earth actually gets closer to the sun during part of the year. When the earth is closer to the sun its orbital speed is

Gravitational force: 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

Satellites: 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

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

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

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 Optics

The Nature and Propagation of Light

Geometric Optics

Interference

Filters

Satellites: Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at from the asteroid's center, he should maintain a speed of What is the mass of planet X? (G = 6.67 × 10^-11 N ∙ m²/kg²)

Weight and g: The radius of the earth is R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s²?