Question

derive impulse momentum theorm????​

Answer 1

Answer:

It is derived as, "The change in momentum of an object equals to the impulse applied to it. "

Explanation:

impulse momentum theorem is logically equivalent to newtons second law of motion(force law)!

Answer 2

$\large{\mathfrak{\underline{\underline{Answer:-}}}}$

Impulse :-

It is a force which act on a body for very short interval of time.

✯ Impulse is Change in momentum.

✯ It is denoted by I

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Derivation :-

${\boxed{ \huge { I \: = \: f_{av} \: \times \: t \: }}} \\ \\ f \: = \: \frac{dp}{dt} \\ \\ \: integrate \: both \: sides \: \\ \\ \int \: fdt \: = \: \int \: dp \\ \\ f_{av}(t)_{0}^{t} \: = \: p_{2} \: - \: p_{1} \\ \\ \implies \: f_{av} \: (t - 0) \: = \: p _{2} \: - \: p_{1} \\ \\ f_{av} \: \times t \: = \: p_{2} \: - \: p _{1} \\ \\ \implies\huge \: I \: = \: p _{2} \: - \: p_{1}$