Question

From the Newton’s second law, show that F = ma, where the symbols have their usual meanings. State the conditions under which F = ma is applicable.

Answer 1

It is Newton's Second law.

According to it the rate of change of linear momentum is directly proportional to the external force applied.

F α dp/dt

F = k dp/dt

Now,

p (momentum) = mv

So,

F = k d(mv)/dt

F = k md(v)/dt

F = k ma

(As, dv/dt = a)

Experimentally k =1

So,

\textbf{F = ma}F = ma

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