Question

Given three different locations on Earth's surface, where will the weight of a person be greatest? in New York City, which is about 6369 km from the center of the Earth at the South Pole, which is about 6356 km from the center of the Earth on the Equator line, which is about 6378 km from the center of the Earth the weight is the same at all three locations

Answer 1

Answer:

B. South Pole.

Explanation:

In order to answer this question, we simply have to refer to the laws of the equations of gravitational mechanics.

The equation given by Newton tells us that

$F = \frac {Gm_1m_2} {r^2}$

In the case where we compare a specific place where the Force of Gravity is greater or lesser, we focus on the term assigned to the Planet's Radius.

In the case of $G, m_1, m_2$, we understand that they are constant.

We can easily notice that the more the Radius (Height seen from a viewer on the ground), the lower the force will be.

In other words, the smaller the radius in which the measurement is made with respect to the center of the earth, the greater the gravitational force.

In that order of ideas the smallest radio has South Pole, which is about 6356 km from the center of the Earth on the Equator line