In incorrect statement about Newton’s second law of motion is that
(A) It provides a measure of inertia
(B) It provides a measure of force
(C) It relates force and acceleration
(D) It relates momentum and force
Answer
644.4k+ views
Hint:In order to solve this problem we have to know about the Newton’s II law which is the net force on any object is equal to the rate of change in momentum. Also we have to know about the linear momentum of body i.e,
\[Linear{\text{ }}momentum{\text{ }} = {\text{ }}mas{s_\;} \times acceleration\]
Complete step by step answer:
We will check each option one by one. But firstly we know about Newton's second law.
Newton’s second law states that “The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force and inversely proportional to the mass of the object”.
So Newton’s second law provides a measure of force, acceleration and relation between them. And also gives the relation between momentum and force which is
$\vec F = \dfrac{{d\vec p}}{{dt}}$
$\vec F = m\overrightarrow a $
Where $\overrightarrow a = $acceleration of particle
But it does not provide a measure of inertia.
Hence option A is the correct answer.
Note:In many problems Newton first law is used which is known as law of inertia.
Generally, inertia is the resistance of any physical object to any change in its velocity. This includes changes to the object’s speed or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed, when no force acts upon them.
\[Linear{\text{ }}momentum{\text{ }} = {\text{ }}mas{s_\;} \times acceleration\]
Complete step by step answer:
We will check each option one by one. But firstly we know about Newton's second law.
Newton’s second law states that “The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force and inversely proportional to the mass of the object”.
So Newton’s second law provides a measure of force, acceleration and relation between them. And also gives the relation between momentum and force which is
$\vec F = \dfrac{{d\vec p}}{{dt}}$
$\vec F = m\overrightarrow a $
Where $\overrightarrow a = $acceleration of particle
But it does not provide a measure of inertia.
Hence option A is the correct answer.
Note:In many problems Newton first law is used which is known as law of inertia.
Generally, inertia is the resistance of any physical object to any change in its velocity. This includes changes to the object’s speed or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed, when no force acts upon them.
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