
Newton's three laws of motion describe the relationship between the motion of an object and the forces acting on it. The first law states that an object will not change its motion unless a force acts on it. The second law states that the net force on a body is equal to the body's acceleration multiplied by its mass or the rate at which the body's momentum is changing over time. While both laws refer to the motion of an object and the forces acting on it, they differ in their specific definitions of these concepts.
| Characteristics | Values |
|---|---|
| First Law | An object at rest remains at rest, and an object in motion remains in motion at a constant speed in a straight line unless acted on by an unbalanced force. |
| Second Law | A force is equal to change in momentum (mass times velocity) per change in time. |
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What You'll Learn

Newton's first law of motion
The first law of motion essentially describes the tendency of objects to resist changes in their state of motion. This resistance to changes in motion is what we refer to as inertia. Inertia is the natural behaviour of a body to move in a straight line at a constant speed. According to Newton's first law, if all the external forces acting on an object cancel each other out, there is no net force acting on the object, and it will maintain its state of motion or remain at rest.
Newton's first law also introduces the concept of inertial observers. There is no way to determine which inertial observer is "really" moving and which is "really" stationary. From the perspective of an observer on the ground, a train is moving, but for a passenger on the train, they are at rest, and the observer on the ground is in motion. There is no absolute standard of rest, and the motion or lack thereof is relative to the observer.
The first law of motion forms the basis of Newtonian mechanics and is fundamental to understanding the behaviour of objects in motion. It highlights the relationship between an object's motion and the forces acting upon it. This law applies to a wide range of scenarios, from a ball falling through the atmosphere to the motion of a kite when the wind changes.
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Newton's second law of motion
Newton's laws of motion explain the relationship between a physical object and the forces acting upon it. Newton's first law of motion states that an object will not change its motion unless a force acts on it. This tendency to resist changes in a state of motion is called inertia.
> F = m(V1 – V0)/(t1 – t0)
Where F is the force, m is the mass, V is the velocity, and t is time. This equation tells us that an object subjected to an external force will accelerate and that the amount of acceleration is proportional to the size of the force. The amount of acceleration is also inversely proportional to the mass of the object. For example, for equal forces, a heavier object will experience less acceleration than a lighter object.
Newton's second law can be used to determine the velocity and mass of an object if we know the force acting on it. This is particularly useful in situations where the mass of an object changes, such as with a bottle rocket, or where the mass remains relatively constant, such as with an airplane.
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The relationship between motion and force
Newton's three laws of motion describe the relationship between the motion of an object and the forces acting on it. These laws, which form the basis of classical mechanics, can be summarised as follows:
First Law
An object at rest remains at rest, and an object in motion remains in motion with a constant speed in a straight line unless it is acted on by an external force. This tendency of an object to resist changes in its state of motion is known as inertia. For instance, when a ball is thrown, it continues to move in the air due to its inertia, and only stops when an external force, such as gravity or air resistance, acts on it.
Second Law
Newton's second law defines force as the rate of change of momentum (mass multiplied by velocity) per unit of time. In other words, force is equal to the change in velocity per change in time (acceleration) multiplied by mass. This law can be used to determine the new velocity and mass of an object if the force acting on it is known.
Third Law
For every action, there is an equal and opposite reaction. In other words, if one body exerts a force on a second body, the second body exerts a force of equal magnitude but in the opposite direction on the first body.
In summary, force and motion are deeply interconnected. Force can cause a stationary object to move, stop a moving object, change the speed or direction of an object's motion, or alter its shape or size. Newton's laws of motion provide a framework for understanding the complex relationship between force and motion, and they have been instrumental in developing classical mechanics.
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The first law's principle of inertia
Newton's first law of motion, also known as the law of inertia, states that an object at rest will stay at rest, and an object that is moving will stay in motion at a constant speed in a straight line, unless it is acted upon by an unbalanced force. This tendency to resist changes in the state of motion is called inertia.
The law of inertia was first formulated by Galileo Galilei for horizontal motion on Earth and was later generalized by René Descartes. Before Galileo, it was believed that all horizontal motion required a direct cause. However, Galileo deduced from his experiments that a body in motion would remain in motion unless a force, such as friction, caused it to come to rest. This idea was further refined by Isaac Beeckman, Descartes, and Pierre Gassendi, who recognized that inertial motion should be in a straight line.
Newton's first law expresses the principle of inertia, which states that the natural behavior of a body is to move in a straight line at a constant speed. In other words, if a body is at rest or moving at a constant speed in a straight line, it will remain in that state unless acted upon by an external force. This law is a fundamental assumption of classical mechanics, although it may not be intuitively obvious.
The formula for inertia in Newton's first law is: the net force is equal to the change in velocity divided by the change in time. Therefore, if the net force on an object is zero, its velocity remains constant. Newton also included mass in the equation and definition of inertia, where mass is the measure of an object's inertia or its tendency to resist a change in motion. This means that the more massive an object is, the more difficult it is to change its velocity.
In summary, Newton's first law of motion, or the law of inertia, describes the tendency of objects to resist changes in their state of motion, whether they are at rest or in motion. This principle forms the basis for understanding the relationship between objects and the forces acting upon them in classical mechanics.
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The second law's formula
Newton's first law of motion states that an object at rest remains at rest, and an object in motion remains in motion at a constant speed in a straight line unless it is acted on by an unbalanced force. In other words, every object will remain at rest or in uniform motion in a straight line unless compelled to change by an external force. This tendency to resist changes in the state of motion is known as inertia.
Newton's second law of motion defines a force to be equal to the change in momentum (mass times velocity) per change in time. The formula for this is:
> F = (m1 x V1 – m0 x V0) / (t1 – t0)
Where:
- F is the force
- M is mass
- V is velocity
- T is time
This formula can be used to determine the new values of velocity and mass if the force is known. It is important to note that this formula assumes a constant mass, which is a good assumption for an airplane, as the only change in mass would be due to fuel consumption.
Newton's second law also states that the amount of acceleration is proportional to the size of the force and inversely proportional to the mass of the object. This means that for equal forces, a heavier object will experience less acceleration than a lighter object.
In quantum physics, the Ehrenfest theorem provides a connection between quantum expectation values and Newton's second law, although this connection is inexact due to the fundamental differences between classical and quantum physics.
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Frequently asked questions
Newton's three laws of motion describe the relationship between the motion of an object and the forces acting on it. They are the foundation of classical mechanics.
Newton's first law states that an object will not change its motion unless a force acts on it. This tendency to resist changes in a state of motion is called inertia.
Newton's second law defines force to be equal to change in momentum (mass times velocity) per change in time. It can be used to determine the new values of velocity and mass if the force is known.
The first law describes an object's natural behaviour to resist changes in its state of motion, while the second law defines the force required to change that state.
Yes, there are many other laws of physics, including the three laws of thermodynamics and Coulomb's Law, which relates to electrostatic force and fields. There are also new laws of physics that build on or modify existing laws, such as Einstein's theory of relativity.











































