If the radius of earth where to shrink by 1 percent its mass remains the same, g would decrease by nearly ......%
I took g1(Gravity of original earth)= GM/R^2
 
g2(after shrinking)= GM/[R-(R/100)]^2
 
I need help finding g1-g2. I can't get the algebra right. Also need help finding the percentage.
 
 

Asked by Deebu | 15th Sep, 2016, 02:54: PM

Expert Answer:

 
You can also look at a similar problem.
 
http://www.topperlearning.com/forums/ask-experts-19/if-the-radius-of-earth-shrinks-by-2-mass-remaining-the-sa-physics-gravitation-44043/reply

Answered by Romal Bhansali | 16th Sep, 2016, 11:36: AM