Answer:
the Mariana trench
Explanation:
To perform this calculation we must use the law of universal gravitation
F = G m M / r²
Where the gravitational potential energy is immediately deducted
U = ∫ F dr
U = - G m M (1 / r - 1 / Ro)
In general the point of Ro is taken at infinity so that here the energy is zero
Therefore, for this problem we will use the equation
U = - G m M / r
Let's calculate the distance, for the three requested points
-Ecuador
R = 6370 km (1000 m / 1 km)
R = 6.370 10 6 m
- Mariana Trench
This is 11 km deep
R = 6370 -11 km = 6359 km
R = 6.359 106 m
- The Chimborazo
R = 6384 Km
R = 6.384 10 6 m
We can appreciate that if we introduce these values in the formula, the one that gives the greatest change would be the one with the least distance. Let's calculate it,
- Ecuator
U = - (G mM) / (6.370 106)
U = - (GmM) 1.5699 10-7 J
- mariana trench
U = - (GmM) 1 / 6,359 106
U = - (GmM) 1.5725 10-7 J
- Chimborazo
U = - (GmM) 1 / 6,384 106
U = - (GmM) 1.5664 10 -7 J
Here we can see that the greatest value is that of the Mariana trench
