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Physics Lesson 18.1.5 - Newton's Second and Third Law and Systems of Reference

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Welcome to our Physics lesson on Newton's Second and Third Law and Systems of Reference, this is the fifth lesson of our suite of physics lessons covering the topic of Relativity. Galilean Transformations. Einstein's Postulates and Newton's Laws, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Newton's Second and Third Law and Systems of Reference

If a particle in an inertial system of reference is accelerated, i.e. if it does not perform a standard motion, we say the particle interacts. A force F - which measures the intensity of interaction - acts on the particle. On the other hand, the acceleration a the particle experiences, gives the intensity of particle's deflection from the standard motion. As explained in Section 4, the relationship between these two quantities is given by the Newton's Second Law of Motion.

a = F/m

Hence, it is clear that the acceleration a particle experiences due to the action of a force is proportional to the force itself. This statement represents the Newton's Second Law of Motion expressed in words. Here, 1/m is the coefficient of proportionality, which turns the given proportion into equation and the mass itself expresses the inertia, i.e. the tendency of an object to resist to any change in its state of motion.

Newton's Third Law of Motion (the action-reaction principle) completes the framework of Newtonian Dynamics. It says: "For every action, there is an equal-size but opposite reaction".

In this way, it is clear that when the net force acting on an object is zero, the object moves in standard mode (i.e. at constant velocity). Since it is practically impossible to find any free particle in Earth conditions, we can obtain inertial systems of reference only if the net force on an object is zero, as this situation is more realistic.

If we neglect some factors such as air drag, friction, etc., the system connected to the Earth can be considered more or less as a good inertial system of reference. A flying airplane when no air turbulences are present, is also a good inertial system of reference as well as the system connected to the Sun. However, the best model of an inertial system is the one connected to a spacecraft moving into the interstellar space with the engines tuned off.

You have reached the end of Physics lesson 18.1.5 Newton's Second and Third Law and Systems of Reference. There are 5 lessons in this physics tutorial covering Relativity. Galilean Transformations. Einstein's Postulates and Newton's Laws, you can access all the lessons from this tutorial below.

More Relativity. Galilean Transformations. Einstein's Postulates and Newton's Laws Lessons and Learning Resources

Relativity Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
18.1Relativity. Galilean Transformations. Einstein's Postulates and Newton's Laws
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
18.1.1Inertial Frames of Reference. Galilean Relativity
18.1.2Galilean Transformations
18.1.3The Postulates
18.1.4Measuring an Event. The Spacetime Coordinates in the Newtonian System and the Newton's First Law
18.1.5Newton's Second and Third Law and Systems of Reference

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