Question

Prove that: F=m×a
And diffrerence between reaction and action

Answer 1

Derivation of Newton’s Second Law of Motion Newton’s second law of motion states that the rate of change of momentum of an object is Proportional to the applied unbalanced force in the direction of force. Suppose an object of mass, m is moving along a straight line with an initial velocity, u. It is uniformly accelerated to velocity, v in time, t by the application of a constant force, F throughout the time t. The initial and final momentum of the object will be, p1 = mu and p2 = mv respectively. The change in momentum = p2 – p1 The change in momentum = mv – mu The change in momentum = m × (v – u). The rate of change of momentum = m × (v – u)/t(v - u)t Or, the applied force, F ∝ m × (v – u)/t (v - u)t F = km × (v – u)/t F = kma ---------------------------- (i) Here, a is the acceleration [i.e., a= (v – u)/t], which is the rate of change of velocity. The quantity, k is a constant of proportionality. The SI units of mass and acceleration are kg and m s-2 respectively. The unit of force is so chosen that the value of the constant, k becomes one. For this, one unit of force is defined as the amount that produces an acceleration of 1 m s-2 in an object of 1 kg mass. That is, 1 unit of force = k × (1 kg) × (1 m s-2). Thus, the value of k becomes 1. From Eq. (i) F = ma The unit of force is kg m s-2 or newton, represented as N.

Action is the first to force applied and reaction is the force applied in lieu of action.

Every action has equal and opposite reaction.........

Answer 2

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Reaction” always comes after “Action”. “Action” means any act or occurrence or event or the committing/performing of an activity. “Reaction” as in “Re-action” literally means the action done again but only in response to the action or as a retaliatory measure or as an answer or as a rejoinder/rebuttal.

According to Newton's third law, for every actionforce there is an equal (in size) and opposite (in direction) reaction force. Forces always come in pairs - known as "action-reaction force pairs."

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