How does Newton's second law relate to inertia?

Answer 1

Inertia and Inertial mass is found out using Newtons Second law. Read more below...

Newtons second law states:

A larger resultant force acting upon an object, the greater acceleration that object has. Meaning force and acceleration are directly proportional to each other (#fpropa#), and acceleration is inversely proportionate to the mass of an object.

This is shown through the formula:

#f=ma# where #f#= Force in Newtons, #N#, #m#=Mass in Kilograms, #Kg# and #a#= Acceleration in #m//s^2#.

This, therefore, can be arranged to find Mass, or Acceleration, using that acceleration is inversely proportionate to the mass of an object.

Inertia is 'The tendency for motion to remain unchanged', basically the measurement that objects move at the same velocity, or not at all. This links to Newton's first law that until acted upon a resultant force, objects moving and not moving will stay moving at that velocity.

Inertial mass is the measurement for how difficult it is to change the velocity for the object. Using the previous Newtons second law formula:

#F=ma# -> #M=f/a#
#therefore# it is linked as Inertia and Intertial mass is found out using Newton's second law as previously stated.
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Answer 2

Newton's second law, F = ma, relates to inertia by stating that the force acting on an object is directly proportional to its mass and the acceleration it experiences. Inertia, the tendency of an object to resist changes in its motion, is quantitatively described by its mass in Newton's second law. A larger mass results in greater inertia, requiring a greater force to produce the same acceleration compared to an object with a smaller mass. Therefore, inertia is a fundamental concept underlying Newton's second law, as it governs how objects respond to external forces.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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