Gravitation

Orbital velocit
Escape velocity
where is radius of earth.
increase
increase

Escape velocity If Since, and are constant, hence

Acceleration due to gravity at a height from the surface of the earth

Given

or

If body is projected with velocity ,
then height upto which it will rise,

(given)

For an depth below from the surface
we know that,
Given:

(depth from top)
Hence, from centre

Value of acceleration due to gravity is

At poles is minimum and at equator is maximum, hence is maximum at poles.

With height value of ' ' decreases.

Density of the Planet can be written as


According to Kepler's law,

or

Earth and the moon experience equal magnitude o f gravitational force due to each other
Acceleration of moon,
Acceleration of earth,
Since so

Step 1: Understanding Mass and Weight
Mass is the quantity of matter in an object and is independent of the location of the object.

Weight is the force exerted on an object due to gravity, calculated as , where is mass and is the gravitational acceleration.

Step 2: Effect of Loss of Gravity
If the Earth loses its gravity, the acceleration due to gravity ( ) would become zero.
Therefore, the weight of any object will become zero.
However, the mass of the object remains unchanged because mass is independent of gravity.
Step 3: Conclusion
Thus, if the Earth loses its gravity, the body’s weight becomes zero, but its mass remains the same.