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Chapter 4: Problem 4

State Newton's three laws of motion. For each law, give an example of its application.

Short Answer

Expert verified
Newton's Laws: 1. Objects stay at rest or in uniform motion without a net force. 2. \( F = ma \): force causes acceleration proportional to mass. 3. For every force, there's an equal and opposite force.

Step by step solution

01

State Newton's First Law

Newton's First Law of Motion, also known as the Law of Inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by a net external force. Example: A book lying on a table will stay there until someone or something moves it, illustrating that without a net external force, the book remains stationary.
02

State Newton's Second Law

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass. This can be expressed with the formula: \[ F = ma \] where \( F \) is the net force acting on the object, \( m \) is the mass, and \( a \) is the acceleration. Example: Pushing a car and a bicycle with the same force. The bicycle will accelerate more than the car because it has less mass.
03

State Newton's Third Law

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that forces always occur in pairs. Example: When you jump off a small boat into the water, the force of your legs pushing against the boat pushes it away from you, demonstrating the action-reaction force pair.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Law of Inertia
Newton's First Law of Motion, often referred to as the Law of Inertia, is a fundamental principle that describes how objects behave. Inertia is an object's resistance to changes in its state of motion. An object in rest stays at rest, and an object in motion continues to move at a constant speed in a straight line unless acted upon by an external force.
This law underscores the importance of balance and force. For example:
  • A stationary book on a table will not move until a force is applied, such as someone picking it up.
  • In space, a satellite will keep moving in the same direction at a constant speed because there is minimal external force, like atmospheric friction, to stop or alter its motion.
Understanding inertia helps explain why safety belts in vehicles are crucial鈥攖hey keep you from continuing forward in the event of sudden stops.
Force and Acceleration
Newton's Second Law of Motion provides a quantitative description of the changes an object experiences when a force is applied. The law states that the acceleration \[ a \] of an object is directly proportional to the net force \[ F \] acting upon it and inversely proportional to its mass \[ m \]. This relationship is expressed with the equation:\[ F = ma \].
Here are some important points:
  • If you apply more force to an object, it accelerates faster (greater acceleration).
  • For two objects with different masses, the one with less mass will accelerate more if the same force is applied.
Consider this example: pushing a light bicycle is easier than pushing a heavy car because the bike requires less force to achieve the same acceleration.
Thus, the law explains why engines in heavy vehicles must exert more power to reach desired speeds.
Action-Reaction Principle
Newton's Third Law of Motion is famously summarized as "for every action, there is an equal and opposite reaction." This principle emphasizes that forces, essentially, come in pairs.
When you exert a force on an object, it exerts an equal force back in the opposite direction:
  • Jumping off a boat pushes the boat in the opposite direction because your legs' exerted force is matched by the reaction force of the boat.
  • This is also visible when walking; as you push the ground backward, it pushes you forward.
Understanding action-reaction forces is key in activities like rowing a boat or even rocket launches, where the expulsion of gases pushes the rocket upward.
This principle informs many everyday phenomena and is vital in understanding how the world responds to different forces.

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Most popular questions from this chapter

Every so often, someone claims to have built a machine that can generate energy perpetually from nothing. Why isn't this possible according to the known laws of nature? Why do you think claims of perpetual motion machines sometimes receive substantial media attention?

a. How does quadrupling the distance between two objects affect the gravitational force between them? b. Suppose the Sun were somehow replaced by a star with twice as much mass. What would happen to the gravitational force between Earth and the Sun? c. Suppose Earth were moved to one-third of its current distance from the Sun. What would happen to the gravitational force between Earth and the Sun?

Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer. The fact that the Moon rotates once in precisely the time it takes to orbit Earth once is such an astonishing coincidence that scientists probably never will be able to explain it.

Choose the best answer to each of the following. Explain your reasoning with one or more complete sentences. If the Moon were closer to Earth, high tides would (a) be higher than they are now. (b) be lower than they are now. (c) occur three or more times a day rather than twice a day.

How do the tides vary with the phase of the Moon? Why?
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