# The rate of change of momentum of any object is directly proportional to the applied force on the body is according to ________ of motion.

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The rate of change of momentum of any object is directly proportional to the applied force on the body is according to ________ of motion.
1. Newton’s first law
2. Newton’s second law
3. Newton’s third law
4. None of the above

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Correct Answer - Option 2 : Newton’s second law

CONCEPT:

Newton’s first law of motion: It is also called the law of inertia. Inertia is the ability of a body by virtue of which it opposes a change.

• According to Newton’s first law of motion, an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.

Newton’s Second law of motion: The rate of change of momentum of any object is directly proportional to the applied force on the body.

${\rm{Force\;}}\left( {\rm{F}} \right) = \frac{{{\rm{Δ }}P}}{{{\rm{Δ }}t}}$

Where Δ P = Change in momentum and Δ t = change in time taken

Newton’s Third Law: To every action, there is always an equal (in magnitude) and opposite (in direction) reaction. This opposite force is called the reaction force.

• When a body exerts a force on any other body, the second body also exerts an equal and opposite force on the first.
• Forces in nature always occur in pairs. A single isolated force is not possible.

EXPLANATION:

From the above explanation, we can see that,

• According to Newton's second law of motion," the rate of change of momentum of any object is directly proportional to applied force"

i.e., ${\rm{Force\;}}\left( {\rm{F}} \right) = \frac{{{\rm{Δ }}P}}{{{\rm{Δ }}t}}$

Hence option 2 is correct among all