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Question: One Newton is the force, which produces an acceleration of: A. \(1\,m{s^{ - 2}}\) on a body of mas...

One Newton is the force, which produces an acceleration of:
A. 1 ms−21\,m{s^{ - 2}} on a body of mass 1 gm1\,gm
B. 1 cms−21\,cm{s^{ - 2}} on a body of mass 1 kg1\,kg
C. 1 cms−21\,cm{s^{ - 2}} on a body of mass 1 gm1\,gm
D. 1 ms−21\,m{s^{ - 2}} on a body of mass 1 kg1\,kg

Explanation

Solution

We shall get the answer to this question if we follow the Newton’s second law of motion-
The second law of Newton states that for its acceleration, a net force on an object is responsible. If air resistance is zero, the gravitational force, generally known as its weight is the net force on a dropping object.
Newton is the unit of force.

Complete step by step answer:
The second law of motion of Newton pertains to the actions of things with which nit all current forces are aligned.
The second law notes that two factors- the net force acting upon the object and the mass of the object-depend on the acceleration of an object.
An object’s acceleration depends directly on the net force acting upon the object and inversely on the object’s mass.
The acceleration of the object is increased as the force acting on an object is increased, If an object’s mass increases, the object’s acceleration decreases.
Newton’s law is formally stated as-
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.
Mathematically, it can be written as-
Force, FF
= mass, mm
× acceleration, aa

Therefore F=maF = ma

A unit of force is proportional to the unit of mass times a unit of acceleration consistent with the above equation. The following unit equivalency can be written by substituting normal metric units for power, mass and acceleration into the above equation.
1 Newton=1 kg×1m/s21\,Newton = 1\,kg \times 1m/{s^2}

So, One Newton is defined as the amount of force needed to provide an acceleration of 1m/s21m/{s^2}
to a 1 kg1\,kg

So, the correct answer is “Option D”.

Note:
Since, One Newton is defined as the amount of force needed to provide an acceleration of 1m/s21m/{s^2}
to a 1 kg1\,kg
mass, similarly, we can define for the units of mass and acceleration also. Also, 1 kg1\,kg
is taken instead of 1 gm1\,gm
as it is the standard unit of measurement.