Question

DERIVE THE RELATION BETWEEN FORCE AND ACCELERATION. DEFINE ONE UNIT OF FORCE

Answer 1

According to the Newton's first law of motion the force is directly related to the change in momentum of a body, so

F = dp/dt

now momentum is given a. p = mv

where m is the mass and v is the velocity

so,

F = d(mv)/dt = m(dv/dt)

or we get

F = ma

..

A force of 1 Newton (unit) is defined as the amount of force necessary to accelerate a mass of 1 kg by 1 ms^-2. It is denoted by N.

1N = 1kg × 1 ms^-2