what will be the effect on the acceleration due to gravity of the earth if it is compressed to a the size the moon? plz write exact answer....
Answers
Explanation:
Earths gravitational acceleration would go from 9.8 meters per second per second to 137 meters per second per second.
[math]a = \frac{GM}{r^2}[/math]
[math]G = 6.6726 x 10^{-11}N-m^2/kg^{2}[/math] universal gravitational constant
[math]M = Mass[/math]
[math]r = radius[/math]
Now an interesting thing would happen if the earth was compressed into a 179 kilometer diameter ball. Any more material added to the Earth at this point would make the Earth smaller in diameter but denser in mass. This is the critical point of electron degeneracy in which the volume of an object cannot get bigger as gravity compresses matter more than it pushes back (unless you add tons of heat). Gravity at this size would be 49,262 meters per second per second.
Explanation:
The acceleration due to gravity on the surface of the Moon is about 1.625 m/s2, about 16.6% that on Earth's surface or 0.166 ɡ. Over the entire surface, the variation in gravitational acceleration is about 0.0253 m/s2 (1.6% of the acceleration due to gravity