math prep 2
What is the result of the following: 10(2 × (5.1 − 6.4) ÷ 5) = ?
0.302
10−11 × 1028 × 1027──────────────────────────────────( 1015 )2
100,000,000,000,000
√( 10−11 × 1030 ÷ 1013 )
1000
A comet's perihelion distance occurs at 1.15 AU and its aphelion distance is at 46.44 AU. In units of years, what is the period of its orbit?
116.1
If an asteroid has a semi-major axis of 25.4 AU, then its orbital period in years carried out to 4 significant digits would be: ____________________. Recall Kepler's 3rd law:
128
A comet's perihelion distance occurs at 2.58 AU and its aphelion distance is at 11.15 AU. In units of years, what is the period of its orbit?
17.99
A moon that has a physical diameter of 9,150 km and appears to have an angular diameter of 10.38 arcsec? In units of km, what is its Distance?
181,800,000
Suppose a new Oort comet was found revolving around the Sun with a semi-major axis of 20,485.8 AU. The period of revolution about the Sun for this comet, calculated out to 4 significant digits in units of years, would be:_________. Recall Kepler's 3rd law:
2,932,000
If the distance between the two masses increases by 4.5 and mass one increases by 8.1 while mass two increases by 6.4, then the resulting gravitational force then between the masses would be ______ times the original force.
2.56
If the distance between the two masses increases by 1.5 and mass one increases by 6.7 while mass two increases by 7.7, then the resulting gravitational force then between the masses would be ______ times the original force.
22.93
Compute the multiplication product of the scientific numbers: ( 3.855×106 ) × ( 6.402×106 ).
24,680,000,000,000
An asteroid orbits the Sun every 6.69 years. Its average appearance at opposition is only 0.153 arcsecs across. What is its physical diameter in km?
283
A dwarf planet's orbital distance from the Sun varies from 35.38 AU to 52.26 AU. In units of years, what is the period of its orbit?
290.1
An asteroid orbits the Sun every 15.84 years and in its orbit, reaches its farthest distance from the Sun at 9.2 AU. What would its perihelion distance from the Sun be?
3.415
An asteroid orbits the Sun every 15.17 years and in its orbit, reaches its farthest distance from the Sun at 8.4 AU. What would its perihelion distance from the Sun be? Round your answer to 3 decimal places in normal decimal format in units of AU.
3.856
What is the result of the following: 10( ( 10 − 2 + 5 ) ÷ 5 )
398.107
A planet has an orbital period of 17.2 years, so its semi-major axis would be AU. If that planet was at its average distance from the Sun and also appeared at opposition to the Sun for us, then its Distance would be only AU away from the Earth.
6.66, 5.66
There are arc seconds in an arc minute, arc minutes in an arc degree, and there are arc degrees in a circle.
60,60,360
After the Sun and the Moon, Venus is the brightest object that we can see in the sky. Two factors that this so is that it has a very bright white cloud cover and, at the orbital radius of 0.7233 AU, it is inside our orbit around the Sun, so it reflects a lot of light. Other reasons that helps is its size (radius = 6,052 km) and that, besides our Moon, Venus is the object that comes closer to the Earth than any other. At solar inferior conjunction, Venus lies directly between the Sun and us. How big would its angular diameter measure in arcsec in the sky then?
60.3
A asteroid has a semi-major axis of 9.04 AU as it orbits around the Sun. Its average orbital velocity is __________ km/s.
9.906
A comet orbits the Sun every 13.12 years and reaches its closest distance to the Sun at 1.17 AU in its orbit. What would its aphelion distance from the Sun be?
9.956
The average orbital velocity of an asteroid is 37.983 km/s. What is the semi-major axis of its orbit in kilometers?
91,990,000
Has the force ("increased", "decreased" or "stayed constant")? If different, then by the factor of . (If so, round your answer to 3 decimal places.)
decreased, 0.198
Has the force ("increased", "decreased" or "stayed constant")? If different, then by the factor of
decreased, 0.391
Newton's law of universal gravitation asserts that all objects in the universe attract each other with a/an that is proportional to the product of the two and inversely proportional to the square of their .
force, mass, distance
The astronomical unit (AU), which is the average distance between the Earth and the , is equal to km.
sun, 1.496E8
The distance between two masses increases by 21.4 times what it was originally. The resulting gravitational force between the two masses is now only ________ of what it originally was.
0.0022
A comet orbits the Sun. At a particular point in its orbit, the following numbers can be used to describe various parameters about it at that time. Based on the numbers alone, use logic and your understanding of orbits to match the numbers listed to the most appropriate unit of measure and parameter for its orbit.
0.625 eccentricity of orbit 11.7 AU, its aphelion distance from the Sun 19.31 yr, its period of orbit 5.5 AU, an instantaneous distance from the Sun 7.2 AU, its semi-major axis of its orbit 2.7 AU, its perihelion distance from the Sun
Jupiter's mean radius is 69,911 km (or 69,911 × 103 m = 6.9911 × 107 m), and, of course, its diameter is twice its radius at 139,822 km (or 1.39822 × 108 m). When Jupiter appears at opposition from the Sun, we are at the closest position to it in our orbit and it is only 628.7 Gm (or 628.7 × 109 m = 6.287 × 1011 m) away from us.In arcsec, how big would its angular diameter then appear in the sky rounded to four significant digits?
45.87
If the distance between the two masses decreases by the factor of 0.43 from what it was before and mass 1 increases by 2.3 while mass 2 increases by 3.9, then the gravitational force between the two objects would be ______ times the original force.
48.51
Given an object with a diameter of 1,000 km, what is the Distance of that object if it appears to have a parallax angle of: 1° across: 1' across: 1" across: .
57300, 3438000, 206300000
Find the added sum of the scientific numbers: ( 2.57×106 ) + ( 3.622×106 ).
6,192,000
After the Sun and the Moon, Venus is the brightest object that we can see in the sky. Two factors that this so is that it has a very bright white cloud cover and, at the orbital radius of 0.7233 AU, it is inside our orbit around the Sun, so it reflects a lot of light. Other reasons that helps is its size (radius = 6,052 km) and that, besides our Moon, Venus is the object that comes closer to the Earth than any other. At solar inferior conjunction, Venus lies directly between the Sun and us. How big would its angular diameter measure in arcsec in the sky then? Correct!
60.3
If an asteroid had an orbital period of 18.7 years around the Sun, its semi-major axis in AU carried out to 3 decimal places will be: Correct!
7.045
A comet orbits the Sun every 9.85 years and reaches its closest distance to the Sun at 2.12 AU in its orbit. What would its aphelion distance from the Sun be?
7.07
If the distance between the two masses decreases by the factor of 0.21 from what it was before and mass 1 increases by 2.3 while mass 2 increases by 1.4, then the gravitational force between the two objects would be ______ times the original force.
73.02
Find the added sum of the scientific numbers: ( 6.726×107 ) + ( 8.657×106 ). Carry out your calculations to 4 significant digits in the mantissa (the decimal part of the number) and express your answer in exponential form, as in: #.###e(−)##. Examples: 2.071e4 or 9.227e−2)
75,920,000
If the distance between two masses decreases to 0.35 times what it was before, then gravitational force will grow to __________ times stronger than what it originally was.
8.163
A comet's perihelion distance occurs at 1.1 AU and its aphelion distance is at 7.71 AU. In units of years, what is the period of its orbit?
9.245
A comet's perihelion distance occurs at 1.33 AU and its aphelion distance is at 19.28 AU. What is the comet's average orbital velocity? Round your answer to 4 significant digits in units of km/s.
9.278
Kepler's 3rd law establishes that the of a planet's semi-major axis (which is its average distance from the Sun) in AUs is equal to the of the planet's period of revolution (in years) around the Sun.
cube, square