Give a reason for the statement that the valu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The acceleration due to gravity is given by the formula $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the mass of the Earth,

Vedclass · Accepted Answer

The radius of the Earth is smaller at the poles than at the equator.

Vedclass · Answer

(B) The acceleration due to gravity is given by the formula $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the mass of the Earth,and $R$ is the distance from the center of the Earth.Since the Earth is not a perfect sphere but is flattened at the poles and bulges at the equator,the radius $R$ is smaller at the poles compared to the equator.Because $g$ is inversely proportional to the square of the radius $(g \propto \frac{1}{R^2})$,a smaller radius at the poles results in a higher value of $g$.Conversely,the larger radius at the equator results in a lower value of $g$.

Give a reason for the statement that the value of $g$ is greater at the poles than at the equator.

Similar Questions

The gravitational force between objects is $100 \, N$. How should the distance between these objects be changed so that the force between them becomes $50 \, N$?

How does the force of attraction between two bodies depend upon their masses and the distance between them? $A$ student thought that two bricks tied together would fall faster than a single one under the action of gravity. Do you agree with his hypothesis or not? Comment.

$A$ stone is dropped from a cliff. Its speed after it has fallen $100 \,m$ is: (in $, m s^{-1}$)

When a spaceship is two earth radii distant from the centre of the earth,its gravitational acceleration is: (in $, m s^{-2}$)

State whether the following statement is True or False:
The acceleration due to gravity $g$ is given by the formula $g = GM/R^2$,where symbols have their usual meanings.

Vedclass Test Series

Exam Paper Generator

Online Exam Module