Grade 10 → Mechanics → Dynamics ↓
action and reaction force
In the study of dynamics in mechanics, a fundamental principle that governs the interactions between objects is Newton's third law of motion. This law is usually stated as, "For every action, there is an equal and opposite reaction." This principle is important for understanding how different bodies exert forces on each other and how motion is affected by these forces.
Newton's third law of motion
Newton's third law helps us understand that forces always come in pairs. These pairs are known as action and reaction forces. If an object A exerts a force on an object B, then object B will simultaneously exert a force of equal magnitude and opposite direction on object A. We call this interaction action and reaction forces.
Understanding the concept
Let us understand this concept with some simple examples:
Example 1: Book and table
Imagine you have a book placed on a table. The book exerts a downward force on the table due to its weight, often called the action force. According to Newton's third law, the table exerts an equal and upward force on the book, known as the reaction force.
Example 2: Gun recoil
When a bullet is fired from a gun, the bullet exerts a force on the bullet in the forward direction. This is called action force. In response, the bullet exerts an equal and opposite force on the gun in the backward direction. This result is what we call the recoil of the gun.
Example 3: Swimming action
When a swimmer pushes against the water with his arms and legs, he exerts an action force on the water, causing the water to move backward. At the same time, the water exerts an equal and opposite reaction force on the swimmer, causing him to move forward.
Characteristics of action and reaction forces
It is necessary to understand some key features of action and reaction forces:
- Equal magnitude: The two forces are always equal in size. The magnitude of the action force will be equal to the magnitude of the reaction force.
- Opposite Direction: The forces act in exactly opposite directions.
- Act on different bodies: Action and reaction forces act on two different objects, never on the same object.
- Simultaneous action: These forces occur simultaneously; they are present simultaneously and there is no time lag between them.
Mathematical representation
The mathematical expression of action and reaction forces can be expressed as:
F AB = - F BA
F AB = - F BA
Here, F AB
represents the force exerted by object A on object B (action), and F BA
is the force exerted by object B on object A (reaction). The negative sign indicates that these forces are equal in magnitude but opposite in direction.
Applications of action and reaction forces
Action and reaction forces come into play in countless everyday situations and scientific applications:
Rockets and space travel
Rockets work on the principle of action and reaction. When rocket engines throw gases downward, these gases exert an upward reaction force on the rocket, causing the rocket to move into space.
Walking
When you walk, you push the ground backward with your feet (action), and as a result, the ground pushes you forward (reaction), making you move forward.
Thought experiment: the floating astronaut
Suppose an astronaut is floating in space holding a tool. If the astronaut throws the tool in one direction (action), the astronaut will move in the opposite direction (reaction) due to conservation of momentum.
Study of action and reaction using balloon
A simple way to visualize action and reaction forces is to use a balloon. Inflate the balloon and let it go without tying it. As the air escapes from the balloon, it moves in the opposite direction. The expelled air is the action force, and the balloon moving in the opposite direction is the reaction force.
Clarifying misunderstandings
Sometimes people mistakenly assume that if the action and reaction forces cancel each other out, they should result in no motion. But remember, these forces act on different objects; therefore, their effects do not cancel out but create motion.
Real life example of acting forces
Consider a car moving on a road. The tires push on the road with a certain force (action), and the road pushes on the tires with an equal and opposite force (reaction), which moves the car forward.
Summary
Understanding action and reaction forces is crucial to understanding how objects in our world interact and move. From the smallest glance at a book to the vast complexities of space travel, these forces are fundamental to countless aspects of physics. Introducing this concept builds a bridge to more complex analyses in physics, where force, momentum, and dynamics play important roles.