Question

derive the expression for the acceleration due to gravity on the surface of the earth. how does weight of an object change as the object moves from equator to pole of the earth

Answer 1

Answer:

derivation in picture and rest in explanation.

Explanation:

The value of acceleration due to gravity,g, is not constant at all the places on the surface of the earth. This is due to the fact that the earth is not a perfect sphere, so the value of its radius is not the same at all places on its surface. Since radius of the earth at the poles is minimum, the value of g is maximum at the poles. Therefore, the weight of an object is maximum at poles. Again, the radius of earth is maximum at equator, so the value of g is minimum. Therefore, the weight of the object is minimum at equator.

(Since radius of the planet is inversely proportional to g)