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Mass, Gravity and the Universe

written by: Greenhorn82
 
This quiz requires expert math skills, but not necessarily a knowledge of mathematical/physical formulas. You will, however, need something a bit more than a handheld calculator. Good luck - you will most certainly need it!

Question 1:


If the planet Mars, with a diameter of 6772 kilometers, is at a distance of 80,000,000 kilometers, what is its angular diameter in arc seconds?
16.27
18.92
17.46
14.64

Question 2:


At what distance would Jupiter have an angular diameter of 38.05 arc seconds? (Jupiter's mean diameter = 138,350 kilometers)  (place mouse pointer over ? icon to view hints or answer requirements)


Question 3:


What is the strength of the Earth’s gravitational field 1,000,000 kilometers from its center? (Surface gravity = 1, Earth’s diameter = 12745 kilometers)  (place mouse pointer over ? icon to view hints or answer requirements)
.0002138
.0000406
.00000842
.000507

Question 4:


If an orbiting body is revolving around its parent body in a perfectly circular path at a distance of 1,000,000,000 kilometers with an orbital velocity of 15 km/s, how long is its year in Earth years?
7.23
27.42
11.39
13.28

Question 5:


A body is orbiting another body in an elliptical orbit with a closest approach of 1000 kilometers and a farthest approach of 2000 kilometers. At its farthest approach, a triangle formed by connecting its orbital positions one day apart to its parent body covers an area of 100,000 square kilometers. How large of an area does this body sweep out in the period of one day at its closest approach?
50,000 square kilometers
79,884 square kilometers
100,000 square kilometers
200,000 square kilometers

Question 6:


If an object has a mass of 6 kilograms on the Earth, what is its mass on the Moon?  (place mouse pointer over ? icon to view hints or answer requirements)


Question 7:


If a mass of 1 kilogram has a gravitational force of approximately 6.8x10^-12 at 1 meter (Earth = 1), what would the surface gravitational force be on a body with a mass of 5x10^18 kilograms and a diameter of 100 kilometers?
0.0034
0.00863
0.129
0.0136

Question 8:


What does an object with a mass of 1 kilogram weigh on a body with a diameter of 2,000 kilometers and a mass of 2x10^22 kilograms?  (place mouse pointer over ? icon to view hints or answer requirements)
4.2 oz.
3.5 oz.
5.7 oz.
4.8 oz.

Question 9:


What is the mass of a body 200 kilometers in diameter with a density of 5000kg/cubic meters?  (place mouse pointer over ? icon to view hints or answer requirements)
4.56832x10^21 kilograms
9.439211x10^20 kilograms
7.18422x10^19 kilograms
2.094395x10^19 kilograms

Question 10:


Which body is denser, a body with a diameter of 10,000 kilometers and a gravity of 0.713, or a body with a diameter of 3,000 kilometers and a gravity of .171?  (place mouse pointer over ? icon to view hints or answer requirements)


 
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