
Newton's third law of motion is commonly referred to as the law of action and reaction. It states that for every action, there is an equal and opposite reaction. In other words, when two objects interact, they apply forces to each other that are equal in magnitude but opposite in direction. Newton's third law is a fundamental principle in physics and has numerous applications in technology and everyday life, such as in shooting ranges and the operation of rockets.
| Characteristics | Values |
|---|---|
| Name | Newton's Third Law of Motion |
| Other Names | Action-Reaction Law, Action Equals Reaction |
| Description | For every action, there is an equal and opposite reaction. |
| Equation | FA: the force exerted by the first object on the second, in a certain direction. FB: the force exerted by the second object on the first, but in an opposite direction. |
| Importance | The basis of modern physics, essential to understanding momentum and collisions. |
| Examples | Rockets, shooting ranges, placing a book on a table. |
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What You'll Learn

Forces come in pairs
Newton's third law of motion is commonly referred to as the law of "action and reaction".
Newton's third law states that for every action, there is an equal and opposite reaction. This means that when two objects interact, they apply forces to each other that are equal in magnitude but opposite in direction. For example, if object A exerts a force on object B, object B will exert an equal force on object A, but in the opposite direction. This is often summarised as "forces come in pairs".
This law is fundamental to our understanding of physics and has many applications in everyday life. For instance, when you place a physics book on a table, the book remains still because the force of gravity pulling it down is balanced by the force of the table pushing up. This is a simple example of Newton's third law in action, where the two forces are equal in magnitude but opposite in direction, resulting in a state of equilibrium.
Another example is the launch of a rocket into space. At liftoff, hot exhaust gas is generated from fuel combustion in the rocket's engines and is pushed out of the rocket, creating thrust. This is the "action". For the rocket to successfully launch, the amount of thrust generated (the "reaction") must be greater than the rocket's mass. This is a classic illustration of Newton's third law, where the action of the exhaust gas being expelled creates an equal and opposite reaction in the form of thrust, propelling the rocket upwards.
Newton's third law also applies to activities like shooting. Shooting activities rely on the action-reaction rule, where the force exerted by the shooter on the gun is equal and opposite to the force exerted by the gun on the bullet, propelling it forward. This principle is not limited to physics and can be observed in football fields, where players benefit from understanding the physics laws at play to improve their performance.
In conclusion, Newton's third law of motion, commonly known as the law of "action and reaction", states that forces always come in pairs. This means that when two objects interact, they exert equal and opposite forces on each other. This law is fundamental to physics and can be observed in various everyday situations, from placing a book on a table to launching a rocket into space.
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Action-reaction rule
Newton's third law of motion is commonly referred to as the action-reaction rule. This law states that 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 will exert a force on the first body that is equal in magnitude but opposite in direction.
This law can be observed in various everyday situations. For example, when you place a physics book on a table, the book remains still unless you or another force moves it. This is because, according to the action-reaction rule, the force exerted by the book on the table is equal and opposite to the force exerted by the table on the book, resulting in a state of equilibrium.
Another example of the action-reaction rule in everyday life can be found in shooting ranges. Shooting activities rely on the principle that for every action, there is an equal and opposite reaction. This allows players to understand how their motion can be affected and how momentum can keep them moving or bring them to a stop.
Newton's third law also has applications in rocketry. During liftoff, a rocket engine generates hot exhaust gas from fuel combustion (the action). This exhaust gas is then pushed out of the rocket, creating thrust (the reaction). For a successful launch, the amount of thrust generated must exceed the rocket's mass.
The action-reaction rule is fundamental to our understanding of physics and has been used to develop other essential laws in the field, such as the conservation of momentum during collisions between objects. This law states that even if the interaction between two objects is brief and the forces involved are unknown or non-constant, we can still analyse the problem by examining the objects' behaviour after the collision, as momentum is conserved.
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Conservation of momentum
Newton's third law of motion is commonly referred to as the law of conservation of momentum. This principle was first studied by Huygens in the 1650s when he examined collisions between hard spheres. Later, Wren and Wallis built on this work, with Wren deducing rules for elastic collisions and Wallis applying momentum conservation to the study of inelastic collisions. Newton cited these three figures to support the validity of his third law.
The conservation of momentum is derived by applying Noether's theorem to a Lagrangian for a multi-particle system. In other words, the total momentum of a system is conserved if there is no net external force acting on the system. This means that the momentum lost by one object will be gained by another object, keeping the total momentum of the system constant.
Newton's second law defines force as the change in momentum (mass times velocity) per change in time. Therefore, force is equal to the mass of an object multiplied by its acceleration. This means that for equal forces, a heavier object will experience less acceleration than a lighter object.
Momentum has both a magnitude and a direction, and it is considered a vector quantity. The momentum equation shows that a force causes a change in velocity, and likewise, a change in velocity generates a force. This equation can be applied to each of the three directions in which an object can move (up-down, left-right, forward-back).
The conservation of momentum is a fundamental principle in physics, providing insights into the motion of objects and the forces acting upon them. It has been applied in various fields, including aeronautics and the study of rocket motion.
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Equal and opposite forces
Newton's third law of motion is commonly referred to as the law of "equal and opposite forces". This law states that for every action, there is an equal and opposite reaction. In other words, when two objects interact, they exert forces on each other that are of equal magnitude but act in opposite directions. For example, if object A exerts a force on object B, object B will exert an equal force on object A, but in the opposite direction.
This principle can be observed in various everyday situations. For instance, when you place a physics book on a table, the book remains still due to the equal and opposite forces exerted by the table pushing up on the book and the book pushing down on the table. Another example is the operation of a fan attached to a cart or sailboat. According to Newton's third law, the force of the air pushed out by the fan should cancel out the force exerted by the fan on the sail, keeping the apparatus stationary. However, due to the system not being entirely enclosed, there are conditions under which the vessel will move.
Newton's third law also has applications in sports and recreational activities. For example, in shooting ranges, the action-reaction rule is essential for the activity to exist. Similarly, in football, players benefit from understanding the physics laws, including Newton's third law, to improve their performance on the field.
Furthermore, Newton's third law plays a crucial role in understanding the motion of rockets during liftoff. The hot exhaust gas generated from fuel combustion in the rocket's engines is pushed out (the action), creating thrust (the reaction). For a successful launch, the thrust generated must exceed the rocket's mass. This principle also applies to NASA's Space Launch System (SLS), which generates a significant amount of thrust for the Artemis missions.
In conclusion, Newton's third law of equal and opposite forces is a fundamental concept in physics, influencing our understanding of motion and the behaviour of objects in various contexts, from everyday situations to space exploration.
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Interactions between objects
Newton's third law of motion is commonly referred to as the law of interaction between objects or, simply, the interaction law.
The law states that when two objects interact, they apply forces to each other that are of equal magnitude but opposite in direction. In other words, if object A exerts a force on object B, object B will exert an equal force on object A, but in the opposite direction. This is often summarised as "action equals reaction", with the “action” and “reaction” referring to the forces applied by the two different bodies.
Newton's third law is a fundamental principle in physics, underpinning our understanding of motion and forces. It is one of three laws of motion formulated by Sir Isaac Newton, which together revolutionised the field of science. The laws describe the relationships between the forces acting on a body and the motion of that body.
The law of interaction between objects is evident in numerous everyday scenarios. For example, when a book is placed on a table, the book exerts a downward force on the table due to its weight, and the table exerts an equal force upwards on the book, holding it in place. Similarly, when an individual pushes a door, the door pushes back with an equal force, but in the opposite direction. In the context of sports, Newton's third law is evident in shooting activities, where the force exerted by the shooter on the projectile is met with an equal and opposite force that propels the shooter backwards.
Newton's third law also has applications in rocketry and space exploration. During a rocket launch, hot exhaust gas is generated from fuel combustion in the rocket's engines and is pushed out of the rocket, generating thrust. For a successful launch, the amount of thrust generated must exceed the rocket's mass.
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Frequently asked questions
Newton's third law of motion states that for every action, there is an equal and opposite reaction.
Newton's third law can be referred to as "forces come in pairs" in everyday language.
A physics book placed on a table will remain still unless acted upon by a force. This is an example of Newton's third law in everyday life.
Newton's third law is evident in shooting activities at a shooting range. Without the action-reaction rule, shooting activities wouldn't exist.











































