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endusto
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$2.50 (a) Show that the variation of gravity w

  • From Physics: Mechanics
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  • Due on Nov. 09, 2009
  • Asked on Nov 07, 2009 at 11:44:39PM
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(a) Show that the variation of gravity with height can be accounted for approximately by the following potential energy function: V = mgz (1 − z/RE ), in which RE is the Earth’s radius. (b) If the vertical component of the initial velocity of a projectile is v0z, how high does the projectile go? Keep only the leading (i.e. independent of RE) term, as well as the correction of the first order in RE^-1 .

 


   
   
   
   
 
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Posted by:
itm007
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$3.50 A++ solutions by physics teacher

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  • Posted on Nov 08, 2009 at 06:51:10PM
A:
Preview: ... force F given by the potential energy function is GmM/R^2 at the surface, so this is equal to mg, so g = GM/R^2 So the V function is then V = mgR[1-z/R]   (b) The ma ...

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