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Chapter 9: Problem 14

Force of gravity is least at (a) The equator (b) The poles (c) A point in between equator and any pole (d) None of these

Short Answer

Expert verified
The force of gravity is least at the equator.

Step by step solution

01

Understanding gravity on Earth

Let's start by understanding the basics of gravity on Earth. The force of gravity on Earth is due to its mass and any object on it experiences this force. The force of gravity is inversely proportional to the distance squared from the center of the mass. This means, the farther one is from the center of Earth, the less is the force of gravity one experiences.
02

Earth's shape and gravity

Remember, Earth is not a perfect sphere. It's an oblate spheroid, meaning it bulges at the equator and is flattened at the poles. Therefore, the distance from the center of the Earth to the surface is slightly larger at the equator than at the poles.
03

Comparing gravity at different positions

Since gravity is inversely proportional to the distance squared from the center of the Earth, and the distance is largest at the equator (due to Earth's oblate spheroid shape), we can conclude that the force of gravity is the least at the equator. Therefore, the correct option is (a) The equator.

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Most popular questions from this chapter

A uniform ring of mass \(m\) is lying at a distance \(1.73 a\) from the centre of a sphere of mass \(M\) just over the sphere where \(a\) is the small radius of the ring as well as that of the sphere. Then gravitational force exerted is (a) \(\frac{G M m}{8 a^{2}}\) (b) \(\frac{G M m}{(1.73 a)^{2}}\) (c) \(\sqrt{3} \frac{G M m}{a^{2}}\) (d) \(1.73 \frac{G M m}{8 a^{2}}\)

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