# Relationship of mass and inertia

### Relationship Between Mass and Inertia

Explain with the help of examples. Answer: The mass of a body is a measure of its inertia. It means larger the mass of a body, larger will be the. Mass and inertia are directly related but mass is not equal to inertia. Newton's First Law of Motion: Inertia. Originally Answered: What is the relationship between mass and inertia? Since inertia is a quality of matter that resists motion, we can apply an increasing force to an object until it accelerates. What is the relation between center of mass and moment of inertia?.

## What is the Relationship Between Mass and Inertia

Aristotle explained the continued motion of projectiles, which are separated from their projector, by the action of the surrounding medium, which continues to move the projectile in some way. For example, Lucretius following, presumably, Epicurus stated that the "default state" of matter was motion, not stasis.

Philoponus proposed that motion was not maintained by the action of a surrounding medium, but by some property imparted to the object when it was set in motion. Although this was not the modern concept of inertia, for there was still the need for a power to keep a body in motion, it proved a fundamental step in that direction.

However, this view did not go unchallenged in the Islamic worldwhere Philoponus did have several supporters who further developed his ideas. Theory of impetus[ edit ] See also: Conatus In the 14th century, Jean Buridan rejected the notion that a motion-generating property, which he named impetus, dissipated spontaneously.

Buridan's position was that a moving object would be arrested by the resistance of the air and the weight of the body which would oppose its impetus. Despite the obvious similarities to more modern ideas of inertia, Buridan saw his theory as only a modification to Aristotle's basic philosophy, maintaining many other peripatetic views, including the belief that there was still a fundamental difference between an object in motion and an object at rest.

Buridan also believed that impetus could be not only linear, but also circular in nature, causing objects such as celestial bodies to move in a circle. Buridan's thought was followed up by his pupil Albert of Saxony — and the Oxford Calculatorswho performed various experiments that further undermined the classical, Aristotelian view. Their work in turn was elaborated by Nicole Oresme who pioneered the practice of demonstrating laws of motion in the form of graphs.

Shortly before Galileo's theory of inertia, Giambattista Benedetti modified the growing theory of impetus to involve linear motion alone: Classical inertia[ edit ] Galileo Galilei The principle of inertia which originated with Aristotle for "motions in a void" states that an object tends to resist a change in motion.

## Using Inertia to Measure Mass

According to Newton, an object will stay at rest or stay in motion i. The Aristotelian division of motion into mundane and celestial became increasingly problematic in the face of the conclusions of Nicolaus Copernicus in the 16th century, who argued that the earth and everything on it was in fact never "at rest", but was actually in constant motion around the sun.

A body moving on a level surface will continue in the same direction at a constant speed unless disturbed. The first physicist to completely break away from the Aristotelian model of motion was Isaac Beeckman in Unless acted upon by a net unbalanced force, an object will maintain a constant velocity. Note that "velocity" in this context is defined as a vectorthus Newton's "constant velocity" implies both constant speed and constant direction and also includes the case of zero speed, or no motion.

Since initial publication, Newton's Laws of Motion and by inclusion, this first law have come to form the basis for the branch of physics known as classical mechanics.

• Inertia and Mass

And if the opposing incline was not even inclined at all that is, if it were oriented along the horizontalthen Newton's first law of motion declares that a force is not needed to keep an object in motion. Slide a book across a table and watch it slide to a rest position. The book in motion on the table top does not come to a rest position because of the absence of a force; rather it is the presence of a force - that force being the force of friction - that brings the book to a rest position.

In the absence of a force of friction, the book would continue in motion with the same speed and direction - forever!

### Inertia - Wikipedia

Or at least to the end of the table top. A force is not required to keep a moving book in motion.

In actuality, it is a force that brings the book to rest. Mass as a Measure of the Amount of Inertia All objects resist changes in their state of motion.

### kinematics - Inertia Vs Momentum - Physics Stack Exchange

All objects have this tendency - they have inertia. But do some objects have more of a tendency to resist changes than others?

The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object.

The more inertia that an object has, the more mass that it has. A more massive object has a greater tendency to resist changes in its state of motion.

Suppose that there are two seemingly identical bricks at rest on the physics lecture table. Yet one brick consists of mortar and the other brick consists of Styrofoam. Without lifting the bricks, how could you tell which brick was the Styrofoam brick? You could give the bricks an identical push in an effort to change their state of motion.

The brick that offers the least resistance is the brick with the least inertia - and therefore the brick with the least mass i. A common physics demonstration relies on this principle that the more massive the object, the more that object resist changes in its state of motion.