Inertia – College Physics chapters 1-17 (2024)

4 Dynamics: Force and Newton’s Laws of Motion

Summary

  • Define mass and inertia.
  • Understand Newton’s first law of motion.

Experience suggests that an object at rest will remain at rest if left alone, and that an object in motion tends to slow down and stop unless some effort is made to keep it moving. What Newton’s first law of motion states, however, is the following:

NEWTON’S FIRST LAW OF MOTION

A body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless acted on by a net external force.

Note the repeated use of the verb “remains.” We can think of this law as preserving the status quo of motion.

Rather than contradicting our experience, Newton’s first law of motion states that there must be a cause (which is a net external force) for there to be any change in velocity (either a change in magnitude or direction). We will define net external force in the next section. An object sliding across a table or floor slows down due to the net force of friction acting on the object. If friction disappeared, would the object still slow down?

The idea of cause and effect is crucial in accurately describing what happens in various situations. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt. If we spray the surface with talcum powder to make the surface smoother, the object slides farther. If we make the surface even smoother by rubbing lubricating oil on it, the object slides farther yet. Extrapolating to a frictionless surface, we can imagine the object sliding in a straight line indefinitely. Friction is thus the cause of the slowing (consistent with Newton’s first law). The object would not slow down at all if friction were completely eliminated. Consider an air hockey table. When the air is turned off, the puck slides only a short distance before friction slows it to a stop. However, when the air is turned on, it creates a nearly frictionless surface, and the puck glides long distances without slowing down. Additionally, if we know enough about the friction, we can accurately predict how quickly the object will slow down. Friction is an external force.

Newton’s first law is completely general and can be applied to anything from an object sliding on a table to a satellite in orbit to blood pumped from the heart. Experiments have thoroughly verified that any change in velocity (speed or direction) must be caused by an external force. The idea of generally applicable or universal laws is important not only here—it is a basic feature of all laws of physics. Identifying these laws is like recognizing patterns in nature from which further patterns can be discovered. The genius of Galileo, who first developed the idea for the first law, and Newton, who clarified it, was to ask the fundamental question, “What is the cause?” Thinking in terms of cause and effect is a worldview fundamentally different from the typical ancient Greek approach when questions such as “Why does a tiger have stripes?” would have been answered in Aristotelian fashion, “That is the nature of the beast.” True perhaps, but not a useful insight.

The property of a body to remain at rest or to remain in motion with constant velocity is called inertia. Newton’s first law is often called the law of inertia. As we know from experience, some objects have more inertia than others. It is obviously more difficult to change the motion of a large boulder than that of a basketball, for example. The inertia of an object is measured by its mass. Roughly speaking, mass is a measure of the amount of “stuff” (or matter) in something. The quantity or amount of matter in an object is determined by the numbers of atoms and molecules of various types it contains. Unlike weight, mass does not vary with location. The mass of an object is the same on Earth, in orbit, or on the surface of the Moon. In practice, it is very difficult to count and identify all of the atoms and molecules in an object, so masses are not often determined in this manner. Operationally, the masses of objects are determined by comparison with the standard kilogram.

Check Your Understanding

1: Which has more mass: a kilogram of cotton balls or a kilogram of gold?

  • Newton’s first law of motion states that a body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless acted on by a net external force. This is also known as the law of inertia.
  • Inertia is the tendency of an object to remain at rest or remain in motion. Inertia is related to an object’s mass.
  • Mass is the quantity of matter in a substance.

Conceptual Questions

1: How are inertia and mass related?

2: What is the relationship between weight and mass? Which is an intrinsic, unchanging property of a body?

Glossary

inertia
the tendency of an object to remain at rest or remain in motion
law of inertia
see Newton’s first law of motion
mass
the quantity of matter in a substance; measured in kilograms
Newton’s first law of motion
a body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless acted on by a net external force; also known as the law of inertia

Solutions

Check Your Understanding

1: They are equal. A kilogram of one substance is equal in mass to a kilogram of another substance. The quantities that might differ between them are volume and density.

Inertia – College Physics chapters 1-17 (2024)

FAQs

How to solve the law of inertia? ›

In Newton's first law, the formula for inertia is: the net force is equal to the change in velocity, divided by the change in time. Therefore, the velocity of an object is constant if the net force of the object is equal to zero. Isaac Newton also included mass in the equation and definition of inertia.

What is the general introduction of physics? ›

What is physics? Physics is the branch of science that deals with the structure of matter and how the fundamental constituents of the universe interact. It studies objects ranging from the very small using quantum mechanics to the entire universe using general relativity.

What is the law of inertia Grade 8? ›

Newton's First Law of Motion

Inertia is the resistance of an object to any change in its motion, including a change in direction. An object will stay still or keep moving at the same speed and in a straight line, unless it is acted upon by an outside force.

What does Newton's first law state? ›

Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.

What are 5 examples of inertia? ›

Example of Inertia.
  • Dust coming out of mat when beaten.
  • Falling forward in transport when sudden breaks are applied.
  • Leaves get detached from the tree when shaken hardly.
  • Due to inertia, artificial satellites keep moving in a circular motion.

What is inertia in formula? ›

The moment of inertia of an object is its tendency to resist a change in its rotational motion about an axis of rotation. Torque is a twisting force that produces a rotation. The formula for calculating the moment of inertia of a point mass rotating about an axis is given by I = m r 2 .

Is physics hard to learn? ›

Physics is a challenging subject ─ it's a combination of math and science that can be difficult even for the best of us. But despite its challenging nature, with a few basic tips and a little practice there's no reason you can't succeed.

Is physics math or science? ›

Pure physics is a branch of fundamental science (also called basic science). Physics is also called "the fundamental science" because all branches of natural science like chemistry, astronomy, geology, and biology are constrained by laws of physics.

Is General physics easy? ›

Physics, itself, isn't hard. What's hard is that Physics is the first time that many students actually have to use their knowledge to solve problems as opposed to merely regurgitating facts. Physics not only forces you to think abstractly also but represent those abstract ideas with concrete mathematics.

How to solve Newton's law? ›

To solve problems involving Newton's laws of motion, follow the procedure described:
  1. Draw a sketch of the problem.
  2. Identify known and unknown quantities, and identify the system of interest. ...
  3. Write Newton's second law in the horizontal and vertical directions and add the forces acting on the object. ...
  4. Check your answer.

How to solve Newton's law equations? ›

Problem-Solving Strategy
  1. Identify the physical principles involved by listing the givens and the quantities to be calculated.
  2. Sketch the situation, using arrows to represent all forces.
  3. Determine the system of interest. ...
  4. Apply Newton's second law to solve the problem. ...
  5. Check the solution to see whether it is reasonable.
Sep 19, 2016

What is the law of inertia simplified? ›

Newton's First Law of Motion (Inertia) An object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line unless acted on by an unbalanced force.

How to calculate inertia with mass and speed? ›

The formula for finding inertia with velocity and mass is inertia = mass x velocity. This means that the greater the mass and velocity of an object, the greater its inertia will be.

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