Key
Name : Mr. Beatty
Date:
Period:
10: _ __
/
Universal Gravitation & Kepler's Laws Review
(DO NOT MEMORlZE THIS INFORMATION)
G = 6.67259 X 10- 11 (Nem2)/kg2
Earth
Mass ........................................ 5.98 X 10 24 kg
Radius ..................................... 6.38 X 106 m
Mean distance from the Sun ...... 1.50 X 1011 m
Moon
Mass ......................... .. .... ......... 7.35 X 10 22 kg Radius .......... ... ... ...... ...... .... ..... 1.74 X 106 m
Mean distance from the Earth... 3.85 X 108 m
Sun
Mass ..................................... . 1. 99 X 10 30 kg
Radius ................................. . 6.96 X 108 m
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1. What is the force of attraction between a 40.0 kg student in the senior parking
lot and the school? The distance between the two is 80 m and the mass of the
school 55,000,000 kg. What would be the new force of attraction if the distance
was now changed to 160 m?
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2. You're on a date with your "significant other." You are getting close. Your center
of masses are 0 .50 meters apart. If you have a mass of70.00 kg and your
partner has a mass of 70.00 kg then what is the actual scientific force of
attraction between the two of you? What would happen if your partner decided
to wear a "fat suit" that effectively changed their mass to 140 kg?
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space. The force of attraction between them is 100.0 N. How far apart are their
centers of mass? (NOTE: you will need to rearrange one of the equations!)
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4. What is the force of gravItational attraction between the Earth and the Sun?
(NOTE: Remember to add radius to the distance between them)
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Name: _ _ _ _ _ _ _ _ _ _ _ _ _ _Date:_ _ _ _ _ _Period:_ _ _ _ _ID:_ __
Mr. Beatty
5. The planet Saturn takes 29.46 sidereal years to go around the sun. What is the
distance from the center of Saturn to the center of the sun?
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6 . While on the surface of the Earth a student has a weight of 450 N. If she is
moved three times as far from the center of the Earth, then how does hew new
weight compare to her old?
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7 . An alien space craft is out in space leaving an unknown planet. It detects the
pull of gravity due to this unknown planet to be 240 N. Later the alien rechecks
the pull on their space craft and detects it to be 60 N. By what factor has their
distance changed as they left the unknown planet?
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8. The moon 10 revolves around Jupiter in 0.0024 sidereal years. 10 has a mean
orbital radius of 0.017 Au's. If the Jupiter moon has a period of rotation of
0.0063 sidereal years, then how far away is Europa from the center of Jupiter?
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9. An unidentified space object is found to have a sidereal period of 1.44 years?
What would be the semi-major axis of that objects orbit? Between which two
planets would we find that object?
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Venus
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Saturn
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Pluto
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0.61
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1J.86
29.46
R4.01
164.79
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Scmimajor
axis a (AU)
0.39
0.72
1.00
1.52
5.20
9 . .54
19.19
30.06
39 ..53
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