Question

Explain the Impulse-Momentum Theorem.

Answer 1

The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it

Explanation:

The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it.

Mathematically, we have:

- The impulse is defined as the product between the force exerted (F) and the duration of the collision ($\Delta t$):

$I=F \Delta t$

- The change in momentum is equal to the product between the mass of the object (m) and the change in velocity ($\Delta v$):

$\Delta p = m \Delta v$

So, the theorem can be written as

$F\Delta t = m \Delta v$

This theorem can be proved by using Newton's second law. In fact, we know that

$F=ma$ (1)

where a is the acceleration of the object. However, we can re-write the acceleration as the rate of change of velocity:

$a=\frac{\Delta v}{\Delta t}$

Therefore, (1) becomes:

$F=m\frac{\Delta v}{\Delta t}$

And by re-arranging,

$F\Delta t = m \Delta v$

Which is exactly the formula of the impulse theorem.

Learn more about impulse and momentum:

brainly.com/question/9484203

#LearnwithBrainly