Friday, May 8, 2015

EJSS gravity 04_1

Characteristics of Gravitational Field Strength (g):

 note that g is the gravitational acceleration on test mass position, m due to Earth alone.
When test mass is on the right of the source mass say Earth, gravitational acceleration is
g = - G M r 2 




When test mass is on the left of the source mass say Earth, gravitational acceleration is
g = + G M r 2 

1.    g in the model or more generically  g is a vector quantity and the SI unit for g is N kg-1 (or m s-2). g is + when the test mass is on the left of the source mass Earth and g is - when the test mass is on the right of the source mass Earth M. in other words, the sign +/- depends on the direction (test mass left/right of Earth). Another way to visualize this look at the magenta color data line.

2.    The symbol chosen for the gravitational field strength is ‘g’. So far, in kinematics, we have been using g to represent the acceleration due to free-fall on the Earth’s surface which has the value 9.81 m s-2.

    But the generic gravitational field strength ‘g’ is not necessarily 9.81 N kg-1 (which is the value of g on Earth’s surface). Its magnitude varies with distance r  and mass M according to Eqn. 7.2.

    
    To avoid misrepresentation, we will use the symbol, gE  to specifically represent the gravitational field strength at the Earth’s surface (ie gE = 9.81 N kg-1).
g E = - G M R E 2 
To summarize.


test your understanding of the various parts of the gravitational acceleration using the model builder.

Model

https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_gravity04_1/gravity04_1_Simulation.xhtml