Question

derive Newton's first law of motion and second law of motion

Answer 1

Newton 1st Law of motion
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A body continues to be in its State of rest or uniform motion along line unless it is acted upon by some external force to change the state.
i.e. acceleration , a = 0 => ∑F = 0
it means ∑Fx = 0, ∑Fy = 0, ∑Fz = 0
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Newton's 2nd Law of motion
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The rate of change of momentum of a body is directly proportional to the force applied to it , i.e.
F = K.dP/dt
= K.d(mv)/dt
= Km.dv/dt
[as we know, dv/dt = a ]
= Kma
F = Kma where K is proportionality constant . experimentally k = 1 in S.I
F = ma
hence, Force applied on a body is product of mass and acceleration of that body .

Answer 2

Newton 1st Law of motion

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A body continues to be in its State of rest or uniform motion along line unless it is acted upon by some external force to change the state.

i.e. acceleration , a = 0 => ∑F = 0

it means ∑Fx = 0, ∑Fy = 0, ∑Fz = 0

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Newton's 2nd Law of motion

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The rate of change of momentum of a body is directly proportional to the force applied to it , i.e.

F = K.dP/dt

= K.d(mv)/dt

= Km.dv/dt

[as we know, dv/dt = a ]

= Kma

F = Kma where K is proportionality constant . experimentally k = 1 in S.I

F = ma

hence, Force applied on a body is product of mass and acceleration of that body .

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