Gravity & Satellite Motion   

4.1

1.  In Newton's insight, what did the moon and the falling apple have in common?
 
 

2.  Describe Newton's universal law of gravitation.
 
 
 
 

3.  Write the equation described by the universal law of gravitation.
 
 

4.  How did Philipp von Jolly measure the universal gravitational constant?
 
 
 
 

5.  What doe the value of G tell us about the strength of gravity when compared with electromagnetic and strong and weak nuclear forces?
 

6.  How was the universal law of gravity used to calculate the Earth's mass?
 
 
 
 

7.  Why is the relationship between gravitational force and distance called the inverse square law?
 
 
 
 

8.  Harold climbs 3 meters up a tree.  When he climbs to twice the height his weight is practically the same.  Why is his weight not reduced to 1/4 the previous weight?
 
 

4.2

9.  How does the moon create tidal bulges on the earth's oceans?
 
 
 

10.  Illustrate how spring and neap tides are produces.
 a.
 
 

 b.
 
 

11.  How does Brittany France use tidal power to produce electricity?
 
 
 
 
 

4.3

12.  Why do astronauts in the international space station have the sensation of weightlessness?
 
 
 

4.4

13.  Compare the terms projectile and trajectory.
 
 
 
 

14.  What is the relationship between vertical and horizontal components of a projectiles trajectory?
 
 
 
 

15.  Make an illustration that compares horizontal motion with no gravity, vertical motion with gravity, and both cases combined.
 
 
 
 
 

16.  What is the name given to the path traced by a projectile that has horizontal velocity and vertical acceleration?
 

17.  What is the relationship between projectile range and projectile angles?
 
 
 
 

18.  How does air resistance effect trajectory?
 

4.5

19.  Why are satellites placed at high altitudes?
 

20.   A  Why must a projectile have a tangential speed of 8 km/s to orbit the Earth?
 
 
 
 
 

21.  Why does a circular orbit create no change in speed--only change in direction?
 
 
 

22.  What is the relationship between the period of a satellite and its distance from the Earth's center?
 
 
 

23.  What kind of path will occur when the speed of a projectile is greater than that needed for circular orbit?
 
 

4.6

24.  Make an illustration that compares the potential energy and the kinetic energy of a satellite in elliptical orbit at apogee and perigee.
 
 
 
 
 
 
 
 
 
 
 
 

4.7

25.  What is escape velocity?
 
 
 
 
 

26.  What is the escape velocity for Earth?
 
 
 

27.  Do some research to find out why the space shuttle is launched towards the east over the Atlantic Ocean and not towards the west.  Hint:  Think about how velocity vectors combine.
 

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