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



this derivation involves differentiation which taught in class 11, so it's okay if you don't follow the steps entirely...


Definition of one unit force

The movementum is defined as the product of its mass and velocity.

movementum = mass x velocity

or p = m x v

where p = movementum

m = mass (kg)

v = velocity (m/s)

SI unit is kg-m/s

The total momentum of the gun and bullet before firing is zero as both of them are at rest.