# Is mass and weight directly proportional relationship

Did you know that mass and weight are not the same? The strength of gravity is directly proportional to the amount of mass of each object. Learn about and revise gravity, weight, mass and gravitational potential is not the same as mass - the weight of an object and its mass are directly proportional. The two are related, because weight is directly proportional to mass. Double But that ratio's more properly power-to-mass, because the mass.

Relation between mass and weight: It is the amount of force required by a body of mass one kilogram to produce an acceleration of one meter per Second Square Dyne is the CGS unit of force.

### Mass versus weight - Wikipedia

It is the amount of force required by a body of mass one gram to product an acceleration of one centimeter per square second Relation between Newton and Dyne: There is no effect of gravity on mass. It remains the same be it on Earth or any other planet like Moon even though the acceleration due to gravity value keeps on changing at different planets Effect of gravity on weight — Weight is how heavy an object is in a gravitational field.

The weight of a body keeps on decreasing at higher altitude where it is furthest away from the center of gravity of Earth. They are directly proportional to each other.

### Mass and Weight - Definition, Relation, Difference & Effects of Gravity | [email protected]

Mass is defined as the amount of matter with which it is made up of, regardless of its configuration or any force acting on the body. Weight is the computation of the force of gravity acting on a body and it depends on the value of acceleration due to the gravity of the place in which the body resides. Mass of a body being constant at any place is unaffected by the gravity whereas weight of an object is directly proportional to the value of gravity of that place.

S unit of mass is kilogram and gram respectively whereas that of weight is Newton and dyne respectively. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

• Mass and Weight
• Planetary and Satellite Motion
• Newton's Law of Universal Gravitation

So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

If the separation distance between two objects is doubled increased by a factor of 2then the force of gravitational attraction is decreased by a factor of 4 2 raised to the second power. If the separation distance between any two objects is tripled increased by a factor of 3then the force of gravitational attraction is decreased by a factor of 9 3 raised to the second power.

Thinking Proportionally About Newton's Equation The proportionalities expressed by Newton's universal law of gravitation are represented graphically by the following illustration.

Observe how the force of gravity is directly proportional to the product of the two masses and inversely proportional to the square of the distance of separation. Another means of representing the proportionalities is to express the relationships in the form of an equation using a constant of proportionality.

This equation is shown below. The constant of proportionality G in the above equation is known as the universal gravitation constant. The precise value of G was determined experimentally by Henry Cavendish in the century after Newton's death.

This experiment will be discussed later in Lesson 3. Using Newton's Gravitation Equation to Solve Problems Knowing the value of G allows us to calculate the force of gravitational attraction between any two objects of known mass and known separation distance.

As a first example, consider the following problem. The solution of the problem involves substituting known values of G 6.

The solution is as follows: This would place the student a distance of 6. Two general conceptual comments can be made about the results of the two sample calculations above. First, observe that the force of gravity acting upon the student a. This illustrates the inverse relationship between separation distance and the force of gravity or in this case, the weight of the student.

The student weighs less at the higher altitude. However, a mere change of 40 feet further from the center of the Earth is virtually negligible.

## Mass versus weight

A distance of 40 feet from the earth's surface to a high altitude airplane is not very far when compared to a distance of 6. This alteration of distance is like a drop in a bucket when compared to the large radius of the Earth. As shown in the diagram below, distance of separation becomes much more influential when a significant variation is made.