# Gravitational force & escape velocity

In summary, gravitational force is a natural phenomenon that describes the attraction between two objects with mass and is calculated using Newton's Law of Universal Gravitation. Escape velocity is the minimum speed needed for an object to break free from the gravitational pull of a larger object and can be calculated using a specific formula. Additionally, the escape velocity of an object can be changed by altering its mass or the mass of the larger object, or by changing the distance between the two objects.
1- F = mk/r^2 ... k is -ve value ...why ?? please in concise way

2- for escape velocity ...
v( inital) = root ( 2gR )... with proof

thank u

1- F = mk/r^2 ... k is -ve value ...why ?? please in concise way
Gravity is an attractive force, which acts in the -r direction.

2- for escape velocity ...
v( inital) = root ( 2gR )... with proof
Prove it for yourself using conservation of energy.

## 1. What is gravitational force?

Gravitational force is a natural phenomenon that describes the attraction between two objects with mass. It is one of the four fundamental forces in the universe and is responsible for keeping planets in orbit around the sun, and objects on Earth from floating into space.

## 2. How is gravitational force calculated?

The gravitational force between two objects is calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between them. This can be mathematically expressed as F = G * (m1 * m2)/d^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them.

## 3. What is escape velocity?

Escape velocity is the minimum speed needed for an object to break free from the gravitational pull of a larger object. It is the speed at which the object's kinetic energy equals the gravitational potential energy at the surface of the larger object. In other words, if an object is launched at this speed, it will be able to escape the gravitational force and continue moving away from the larger object.

## 4. How is escape velocity calculated?

The escape velocity of an object can be calculated using the formula v = √(2GM/r), where v is the escape velocity, G is the gravitational constant, M is the mass of the larger object, and r is the distance from the center of the larger object to the object's starting point. This formula assumes that the object is launched from the surface of the larger object at an angle of 90 degrees.

## 5. Can the escape velocity of an object be changed?

Yes, the escape velocity of an object can be changed by altering its mass or the mass of the larger object, or by changing the distance between the two objects. For example, if an object's mass is increased, its escape velocity will also increase. Similarly, if the distance between the two objects is increased, the escape velocity will decrease.

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