The change in momentum of an object is equal to the impulse that acts on it.
The momentum of an object is equal to the product of mass multiplied by its velocity.
i.e.
p = mass × velocity
The change in the momentum now can be expressed as:
[tex]\mathbf{\dfrac{dP}{dt} = \dfrac{d}{dt}(mv)}[/tex]
[tex]\mathbf{\implies m \dfrac{dv}{dt}}[/tex]
[tex]\mathbf{\implies m a}[/tex]
[tex]\mathbf{\dfrac{dP}{dt} = F_{net}}[/tex]
[tex]\mathbf{dP = F_{net}\times dt}[/tex]
Thus, the above formula corresponds to the formula for calculating impulse.
Therefore, we can conclude that the change in momentum of an object is equal to the impulse that acts on it.
Learn more about impulse here:
https://brainly.com/question/2193212?referrer=searchResults
