Question 1

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

Question 2

Beings on spherical asteroid Π have observed that a large rock is approaching their asteroid in a collision course. At  from the center of the asteroid, the rock has a speed of  and later at  it has a speed of  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 ×  kg 
B)  9.164 ×  kg 
C)  6.112 ×  kg 
D)  4.582 ×  kg

Question 3

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

Question 4

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.

Question 5

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

The answer of A small-sized 155-kg mass is located 1.50...

Question 6

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

Question 7

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.

Question 8

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.

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

The answer of A satellite that weighs 4900 N on...

Question 10

Two planets having equal masses are in circular orbit around a star. Planet A has a smaller orbital radius than planet B. Which statement is true?

Accepted Answer

A)  Planet A has more kinetic energy, less potential energy, and less mechanical energy (potential plus kinetic) than planet B. 
B)  Planet A has more kinetic energy, more potential energy, and more mechanical energy (potential plus kinetic) than planet B. 
C)  Planet A has more kinetic energy, less potential energy, and more mechanical energy (potential plus kinetic) than planet B. 
D)  Planet A and planet B have the same amount of mechanical energy (potential plus kinetic).

Exam 13: Newtons Theory of Gravity

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?

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?

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?

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 moons in circular orbits. The table summarizes the hypothetical data about the moons. The orbital period of Moon B is closest to

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

Two planets having equal masses are in circular orbit around a star. Planet A has a smaller orbital radius than planet B. Which statement is true?