Gravitation

This topic explains Kepler’s laws associated with the gravitational force. Law of the period, orbit and area are well explained here with the help of elaborate illustrations and different measurements that confirm Kepler’s law of motion.

In this topic, we will become familiar with the concept of inertial and gravitational masses. The laws on which they depend will be highlighted here along with the suitable expressions for them. Some solved examples will also be given here.

This topic describes the universal law of gravitation. Mathematical representation of Newton’s law of gravitation and results of the simple law are also explained here in detail with diagrams.

With the help of Cavendish’s experiment, the topic elaborates on the gravitational constant. It also explains the various forces experienced by the lead spheres in that experiment. We will come to know about the value of the gravitational constant here.

This topic explains acceleration due to the gravity of the earth. It also discusses and proves the mathematical expression of acceleration due to gravity with the help of illustrations.

We will study about the acceleration due to gravity on an object kept at a height from the surface of the earth. We will also learn how the acceleration changes with respect to the height of the object and derive an expression for it.

This topic deals with the calculation of the potential energy of a body arising through the conservative force of gravity. Mathematical expression for gravitational potential energy for varying distance from the earth’s centre is also derived here.

This topic helps us in understanding that we can throw an object with such high initial speeds that it does not fall back to the earth. The mathematical proof of escape speed is also explained.

In this topic, we will learn about objects which revolve around the earth. It also explains the role of centripetal, gravitation and Kepler’s law of gravitational force. The time for earth satellites to complete one revolution is also proved here.

This topic explains the kinetic energy of the satellite in a circular orbit. The total energy of a circularly orbiting satellite is mathematically proven here in detail.