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Where k is the proportionality constant
Now, 1 unit force is defined as the force applied on an object of mass 1kg to produce
2
the acceleration of 1m/s .
Thus, 1 unit of force = k ×1kg ×1m/s2
⟹ k = 1
By putting the value of k=1 in equation (ii), we get:
F = ma
i.e., Force = Mass × Acceleration
The SI unit of Force
SI unit of force is Newton (N).
Since Force = Mass x Acceleration
2
The unit of mass = kg and The unit of acceleration = m/s
If Force, mass and acceleration is taken as 1 unit.
Therefore,
2
1 Newton (N) = 1kg x 1m/s
2
Thus, Newton (N) = kg m/s
Thus, one unit of force is defined as the amount that produces an acceleration of 1
2
m/s in an object of mass 1 kg.
Impulse
Impulse in Physics is a term that is used to describe or quantify the effect of force
acting over time to change the momentum of an object. It is represented by the
symbol J and usually expressed in Newton-seconds or kg m/s.
Impulse is a vector quantity like force and it also has direction.
A car is travelling at full speed. It crashes into the barrier, because of the negligence of
the driver.