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CIE A-Level Physics Notes

3.3.3 Newton's Third Law

Understanding Action and Reaction Forces

Newton's Third Law expounds on the nature of forces exerted between two interacting bodies, stating that forces always occur in pairs.

Diagram explaining Newton’s Third Law

Newton’s Third Law

Image Courtesy OpenStax

Key Concepts of the Law

  • Equal Magnitude: The forces exerted by two interacting bodies are always equal in magnitude.
  • Opposite Directions: While the forces are equal, they are exerted in opposite directions.
  • Simultaneity: These forces are exerted at the same time, meaning when one body exerts a force, the other body instantaneously exerts a force back.
Diagram explaining action and reaction forces on a swimmer

Action and Reaction forces

Image Courtesy BYJU’s

Implications in Physics

  • No Single Force: This law suggests that a single isolated force does not exist. Every force is part of a pair.
  • Momentum Conservation: This law underpins the principle of conservation of momentum in closed systems where external forces are absent.

Examples in Various Physical Scenarios

The application of Newton's Third Law is evident in multiple contexts, illustrating its universal relevance.

Rocket Propulsion

  • Exhaust Ejection: When a rocket ejects exhaust gases downwards (action), the gases exert an equal and opposite force upwards on the rocket (reaction). This reaction force propels the rocket forward.
Diagram explaining the application of Newton’s Third Law on Rocket Propulsion

Newton’s Third Law and Rocket Propulsion

Image Courtesy GeeksforGeeks

  • Efficiency in Vacuum: The effectiveness of this principle in space, a vacuum, highlights the law's independence from external atmospheric factors.

Walking and Running

  • Foot and Ground Interaction: As we walk or run, our foot exerts a force on the ground (action), and the ground exerts an equal and opposite force on the foot (reaction), propelling us forward.
Diagram showing Newton’s Third Law on Foot during running

Newtons Third Law and Running

Image Courtesy OpenStax

  • Friction's Role: The friction between the foot and the ground is crucial for this action-reaction pair, enabling the movement.

Analysis of Equal and Opposite Forces

Newton's Third Law is central to understanding the dynamics of interactions, especially in systems involving multiple forces.

Force Characteristics

  • Different Objects: The action and reaction forces act on different objects, which is the reason they do not cancel each other out.
  • Force Types: These forces can be gravitational, electromagnetic, or contact forces, all adhering to the law.

Conceptual Misconceptions

  • Non-Cancellation Misunderstanding: A common misconception is that the action and reaction forces cancel each other out. However, since they act on different bodies, they cannot cancel each other in the context of a single object's motion.

Applications in Everyday Life and Technology

Newton's Third Law finds applications in various aspects of daily life and technological innovations.

Transportation

  • Vehicles: The motion of cars and bicycles, the thrust in jets, and the propulsion in boats all exemplify Newton's Third Law in transportation.
  • Engineering Designs: Understanding this law is crucial in designing engines and propulsion systems.

Sports Mechanics

  • Contact Sports: In sports like football or boxing, the impact between players or gloves and a punching bag demonstrates action-reaction forces.
  • Athletic Techniques: Athletes use this principle to maximise force and efficiency in their movements.

Complex Interactions in Physics

Newton's Third Law plays a pivotal role in analysing complex physical systems.

Collision and Impacts

  • Elastic and Inelastic Collisions: In both types of collisions, action and reaction forces are at play, crucial for determining post-collision velocities and energy transfer.
  • Astrophysical Phenomena: Interactions between celestial bodies, such as gravitational forces, are governed by Newton's Third Law.

FAQ

Yes, the recoil felt when firing a gun is a direct consequence of Newton's Third Law. When a gun is fired, the bullet is propelled forward with a certain force (action). Simultaneously, an equal and opposite force (reaction) is exerted backward on the gun. This backward force is what is experienced as recoil. The gun and the bullet exert forces on each other of equal magnitude but in opposite directions, which is why despite their different masses, the gun recoils backward as the bullet is shot forward. This reaction force must be managed by the shooter to maintain accuracy and control of the firearm.

Newton's Third Law is as applicable in space as it is on Earth, despite the absence of an atmosphere. In space, when an astronaut pushes against an object, the object pushes back with an equal and opposite force. For example, if an astronaut throws an object in one direction, the astronaut will move in the opposite direction. This principle is also employed in spacecraft propulsion: as the spacecraft expels exhaust gases backward, it moves forward due to the reaction force. The law is fundamental in manoeuvring spacecraft and is independent of the presence of air or atmosphere.

The motion of fish in water is an excellent demonstration of Newton's Third Law. When a fish moves its tail and fins, it pushes water in one direction (action). According to Newton's Third Law, the water pushes back on the fish with an equal and opposite force (reaction). This reaction force propels the fish forward through the water. The strength and direction of the fish’s movement depend on how it manipulates the water with its fins and tail, showcasing a continuous application of action and reaction forces during swimming.

In a tug of war, Newton's Third Law is evident in the forces exerted by each team. When one team pulls on the rope with a certain force, the other team pulls back with an equal and opposite force. Each team exerts a force on the rope, and the rope transmits these forces between the teams. The result is a balance of forces where each action force from one team is countered by a reaction force from the other. The winning team is the one that manages to unbalance this force equilibrium, usually by exerting a greater force or taking advantage of the opposing team’s loss of grip or balance.

In helicopters, Newton's Third Law is evident in the interaction between the rotor blades and the air. As the rotor blades spin, they push air downwards (action force). According to Newton's Third Law, the air pushes back up against the rotor blades with an equal and opposite force (reaction force). This upward reaction force is what lifts the helicopter off the ground. Essentially, the force exerted by the rotor blades on the air results in a lift force on the helicopter. This principle is critical for understanding how helicopters achieve lift and control their altitude and direction.

Practice Questions

A swimmer pushes water backwards with a force of 150 N during a stroke. Describe the action-reaction force pair and explain how this enables the swimmer to move forward.

When the swimmer pushes water backwards with a force of 150 N, this is the action force. According to Newton's Third Law, the water exerts an equal and opposite reaction force of 150 N on the swimmer. This reaction force is directed forwards, propelling the swimmer forward through the water. This principle illustrates how the swimmer is able to move forward: by exerting a force on the water, the water in turn exerts a force on the swimmer, enabling forward motion. This interaction of forces is a direct application of Newton's Third Law, demonstrating the equal and opposite nature of action-reaction force pairs.

In a game of billiards, a white ball collides with a stationary red ball. If the white ball exerts a force of 20 N on the red ball, what force does the red ball exert on the white ball? Explain the implications of Newton's Third Law in this scenario

In the billiards scenario, when the white ball collides with the red ball and exerts a force of 20 N, the red ball exerts an equal and opposite force of 20 N on the white ball, as per Newton's Third Law. This law states that forces always occur in pairs, with each force having equal magnitude but opposite directions. The implication in this scenario is that while the white ball transfers momentum to the red ball, causing it to move, the white ball also experiences an equal force in the opposite direction. This interaction affects the motion and subsequent trajectory of both balls following the collision.

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