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Derive newton's first law of motion from the second law of motion?
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Derive newton's first law of motion from the second law of motion?
NEWTON'S SECOND LAW
According to the Newton’s 2nd Law of motion, the rate of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force.
It means that the linear momentum will change faster when a bigger force is applied.
Consider a body of mass ‘m’ moving with velocity v.
The linear momentum of a body is given by:
p = mv
Now According to Newton’s 2nd Law of Motion:
Force is directly proportional to rate of change of momnetum, that is
F α dp/dt
F = k dp/dt
F = k d(mv)/dt
F = k md(v)/dt
F = k ma
Experimentally k =1
F = k ma
Which is the required equation of force.
NEWTON'S FIRST LAW
The body moves (accelerates) when a force is applied to it that is
F = ma --> a = F / m
When there is no force acting on the body (F = 0), then the body won't move or would remain in motion with constant velocity (won't accelerate in both cases: a = 0), why? Because
a = F / m and F =0 --> a = 0
So we can state the first law: A body will remain at rest or constant velocity unless a force in acted upon it.
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Derive newton's first law of motion from the second law of motion?
According to the newtons 2nd law of motion the rate of change of momentum of a body is directly proportional to the applied external force and in the direction of force it means that the linear momentum will change faster when the bigger force is applied consider body of mass 'm' moving with velocity 'v' .
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Derive newton's first law of motion from the second law of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Derive newton's first law of motion from the second law of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive newton's first law of motion from the second law of motion?.
Derive newton's first law of motion from the second law of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Derive newton's first law of motion from the second law of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive newton's first law of motion from the second law of motion?.
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