Question

derive the expression for force using second low of motion

Answer 1

Explanation:

The second law of motion states that the date of change of momentum is directly proportional to the applied force and is in the direction of force.

DERIVATION :

Let

initial momentum = mu

final momentum. = mv

Time = t

The rate of change

of momentum. = Force = k*(final momentum -

initial momentum) / time

here constant k = 1

Therefore Force = (mv - mu) / t

= m(v - u) / t

We know that (v - u) / t = acceleration

Therefore Force = m*acceleration

Force = ma

Therefore from this we get

Force = mass*acceleration

Force = ma

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