Question 1

A certain planet has an escape speed V.If another planet has twice size and twice the mass of the first planet,its escape speed will be

Accepted Answer

A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/   
A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/

Question 2

Planet Z-34 has a mass equal to 1/3 that of Earth,a radius equal to 1/3 that of Earth,and an axial spin rate 1/2 that of Earth.With g representing,as usual,the acceleration due to gravity on the surface of Earth,the acceleration due to gravity on the surface of Z-34 is

Accepted Answer

A)  g/3. 
B)  3g. 
C)  6g. 
D)  g/9. 
E)  9g. 
A)  g/3. 
B)  3g. 
C)  6g. 
D)  g/9. 
E)  9g.

Question 3

A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?

Accepted Answer

0.643 m from the 155

Question 4

Spaceman Speff orbits spherical asteroid X with his spaceship.To remain in a circular orbit at 421 km from the asteroid's center,he should maintain a speed of 80 m/s. 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 5

Neptune circles the Sun at a distance of 4.50 × 1012 m once every 164 years.Saturn circles the Sun at a distance of 1.43 × 1012 m.What is the orbital period of Saturn?

Accepted Answer

A)  304 y 
B)  121 y 
C)  109 h 
D)  88.6 y 
E)  29.4 y 
A)  304 y 
B)  121 y 
C)  109 h 
D)  88.6 y 
E)  29.4 y

Question 6

Beings on spherical asteroid Π have observed that a large rock is approaching their asteroid in a collision course.At 7514 km from the center of the asteroid,the rock has a speed of 136.0 m/s and later at 2823 km it has a speed of 392.0 m/s.Use energy conservation to find the mass of asteroid Π.You can neglect any effects due to the parent star of the asteroid.(G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)  4.582 × 1021 kg 
B)  9.164 × 1027 kg 
C)  6.112 × 1028 kg 
D)  4.582 × 1020 kg 
A)  4.582 × 1021 kg 
B)  9.164 × 1027 kg 
C)  6.112 × 1028 kg 
D)  4.582 × 1020 kg

Question 7

A meteoroid,heading straight for Earth,has a speed of 14.8 km/s relative to the center of Earth as it crosses our moon's orbit,a distance of 3.84 × 108 m from the earth's center.What is the meteroid's speed as it hits the earth? You can neglect the effects of the moon,Earth's atmosphere,and any motion of the earth.(G = 6.67 × 10-11 N • m2/kg2,Mearth = 5.97 × 1024 kg)

Accepted Answer

A)  18.5 km/s 
B)  21.5 km/s 
C)  32.4 km/s 
D)  87.3 km/s 
A)  18.5 km/s 
B)  21.5 km/s 
C)  32.4 km/s 
D)  87.3 km/s

Question 8

Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r,and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

Accepted Answer

A)  20 d 
B)  40 d 
C)  80 d 
D)  160 d 
E)  320 d 
A)  20 d 
B)  40 d 
C)  80 d 
D)  160 d 
E)  320 d

Question 9

The gravitational acceleration on a planet's surface is 16.0 m/s2. What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

Accepted Answer

A)  5.33 m/s2 
B)  1.78 m/s2 
C)  1.60 m/s2 
D)  4.00 m/s2 
E)  8.00 m/s2 
A)  5.33 m/s2 
B)  1.78 m/s2 
C)  1.60 m/s2 
D)  4.00 m/s2 
E)  8.00 m/s2

Question 10

Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons.
 
The orbital period of Moon B is closest to

Accepted Answer

A)  5.6 × 106 s. 
B)  6.0 × 106 s. 
C)  6.4 × 106 s. 
D)  6.9 × 106 s. 
E)  7.3 × 106 s. 
A)  5.6 × 106 s. 
B)  6.0 × 106 s. 
C)  6.4 × 106 s. 
D)  6.9 × 106 s. 
E)  7.3 × 106 s.

Question 11

The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the period of revolution of Phobos to that of Deimos?

Accepted Answer

A)  0.2528 
B)  0.3998 
C)  1.582 
D)  2.858 
E)  3.956 
A)  0.2528 
B)  0.3998 
C)  1.582 
D)  2.858 
E)  3.956

Question 12

Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 1026 kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)  19.5 km/s 
B)  27.5 km/s 
C)  13.8 km/s 
D)  1.95 km/s 
A)  19.5 km/s 
B)  27.5 km/s 
C)  13.8 km/s 
D)  1.95 km/s

Question 13

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.9200g? The radius of the earth is 6.38 × 106 m.

Accepted Answer

A)  272 km 
B)  260 km 
C)  554 km 
D)  510 km 
A)  272 km 
B)  260 km 
C)  554 km 
D)  510 km

Question 14

If the mass of the earth and all objects on it were suddenly doubled,but the size remained the same,the acceleration due to gravity at the surface would become

Accepted Answer

A)  4 times what it now is. 
B)  2 times what it now is. 
C)  the same as it now is. 
D)  1/2 of what it now is. 
E)  1/4 of what it now is. 
A)  4 times what it now is. 
B)  2 times what it now is. 
C)  the same as it now is. 
D)  1/2 of what it now is. 
E)  1/4 of what it now is.

Question 15

Sputnik I was launched into orbit around Earth in 1957.It had a perigee (the closest approach to Earth,measured from Earth's center)of 6.81 × 106 m and an apogee (the furthest point from Earth's center)of 7.53 × 106 m.What was its speed when it was at its perigee? The mass of Earth is 5.97 × 1024 kg and G = 6.67 × 10-11 N • m2/kg2.

Accepted Answer

A)  7180 m/s 
B)  7840 m/s 
C)  8230 m/s 
D)  11,000 m/s 
E)  13,400 m/s 
A)  7180 m/s 
B)  7840 m/s 
C)  8230 m/s 
D)  11,000 m/s 
E)  13,400 m/s

Question 16

The reason an astronaut in an earth satellite feels weightless is that

Accepted Answer

A)  the astronaut is beyond the range of the earth's gravity. 
B)  the astronaut is falling. 
C)  the astronaut is at a point in space where the effects of the moon's gravity and the earth's gravity cancel. 
D)  this is a psychological effect associated with rapid motion. 
E)  the astronaut's acceleration is zero. 
A)  the astronaut is beyond the range of the earth's gravity. 
B)  the astronaut is falling. 
C)  the astronaut is at a point in space where the effects of the moon's gravity and the earth's gravity cancel. 
D)  this is a psychological effect associated with rapid motion. 
E)  the astronaut's acceleration is zero.

Question 17

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 18

A certain planet has an escape speed V.If another planet of the same size has twice the mass as the first planet,its escape speed will be

Accepted Answer

A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/   
A)  2V. 
B)    V. 
C)  V. 
D)  V/2. 
E)  V/

Question 19

Ekapluto is an unknown planet that has two spherical moons in circular orbits.The table summarizes the hypothetical data about the moons.Both moons have low axial spin rates.
(G = 6.67 × 10-11 N • m2/kg2)
 
The acceleration due to gravity at the surface of Moon B is

Accepted Answer

A)  0.10 m/s2. 
B)  0.15 m/s2. 
C)  0.20 m/s2. 
D)  0.25 m/s2. 
E)  0.30 m/s2. 
A)  0.10 m/s2. 
B)  0.15 m/s2. 
C)  0.20 m/s2. 
D)  0.25 m/s2. 
E)  0.30 m/s2.

Question 20

The weight of spaceman Speff at the surface of planet X,solely due to its gravitational pull,is 389 N.If he moves to a distance of 1.86 × 104 km above the planet's surface,his weight changes to 24.31 N.What is the mass of planet X,if Speff's mass is 75.0 kg? (G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)  2.99 × 1024 kg 
B)  2.99 × 1018 kg 
C)  2.99 × 1017 kg 
D)  1.59 × 1018 kg 
A)  2.99 × 1024 kg 
B)  2.99 × 1018 kg 
C)  2.99 × 1017 kg 
D)  1.59 × 1018 kg

Exam 13: Gravity

A certain planet has an escape speed V.If another planet has twice size and twice the mass of the first planet,its escape speed will be

Planet Z-34 has a mass equal to 1/3 that of Earth,a radius equal to 1/3 that of Earth,and an axial spin rate 1/2 that of Earth.With g representing,as usual,the acceleration due to gravity on the surface of Earth,the acceleration due to gravity on the surface of Z-34 is

A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?

Spaceman Speff orbits spherical asteroid X with his spaceship.To remain in a circular orbit at 421 km from the asteroid's center,he should maintain a speed of 80 m/s. What is the mass of planet X? (G = 6.67 × 10-11 N • m2/kg2)

Neptune circles the Sun at a distance of 4.50 × 1012 m once every 164 years.Saturn circles the Sun at a distance of 1.43 × 1012 m.What is the orbital period of Saturn?

Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r,and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

The gravitational acceleration on a planet's surface is 16.0 m/s2. What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons. The orbital period of Moon B is closest to

The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the period of revolution of Phobos to that of Deimos?

Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 1026 kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10-11 N • m2/kg2)

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.9200g? The radius of the earth is 6.38 × 106 m.

If the mass of the earth and all objects on it were suddenly doubled,but the size remained the same,the acceleration due to gravity at the surface would become

The reason an astronaut in an earth satellite feels weightless is that

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?

A certain planet has an escape speed V.If another planet of the same size has twice the mass as the first planet,its escape speed will be

Ekapluto is an unknown planet that has two spherical moons in circular orbits.The table summarizes the hypothetical data about the moons.Both moons have low axial spin rates. (G = 6.67 × 10-11 N • m2/kg2) The acceleration due to gravity at the surface of Moon B is

The weight of spaceman Speff at the surface of planet X,solely due to its gravitational pull,is 389 N.If he moves to a distance of 1.86 × 104 km above the planet's surface,his weight changes to 24.31 N.What is the mass of planet X,if Speff's mass is 75.0 kg? (G = 6.67 × 10-11 N • m2/kg2)

Foundations

A: Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

Spaceman Speff orbits spherical asteroid X with his spaceship.To remain in a circular orbit at 421 km from the asteroid's center,he should maintain a speed of 80 m/s. What is the mass of planet X? (G = 6.67 × 10^-11 N • m²/kg²)

Neptune circles the Sun at a distance of 4.50 × 10¹² m once every 164 years.Saturn circles the Sun at a distance of 1.43 × 10¹² m.What is the orbital period of Saturn?

The gravitational acceleration on a planet's surface is 16.0 m/s². What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 10²⁶ kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10^-11 N • m²/kg²)

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.9200g? The radius of the earth is 6.38 × 10⁶ m.

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?

Ekapluto is an unknown planet that has two spherical moons in circular orbits.The table summarizes the hypothetical data about the moons.Both moons have low axial spin rates. (G = 6.67 × 10^-11 N • m²/kg²) The acceleration due to gravity at the surface of Moon B is

The weight of spaceman Speff at the surface of planet X,solely due to its gravitational pull,is 389 N.If he moves to a distance of 1.86 × 10⁴ km above the planet's surface,his weight changes to 24.31 N.What is the mass of planet X,if Speff's mass is 75.0 kg? (G = 6.67 × 10^-11 N • m²/kg²)