Which of these values is equivalent to the change in momentum of
an object?

A. impulse
B. force
C. velocity
D. acceleration

Respuesta :

A. An impulse of a force changes the momentum of a body and has the same units and dimensions as momentum.

Answer : The correct option is, (A) impulse

Explanation :

Change in momentum : It is the product of the mass of an object and the change in velocity of an object.

Formula : [tex]\Delta p=m\times \Delta V[/tex]

Impulse : It is the product of the force applied on the object and the time. It is also equivalent to the change in momentum of  an object.

Formula : [tex]J=F\times t[/tex]

And the impulse is also equal to the change in momentum.

Proof of [tex]J=\Delta p[/tex] :

[tex]J=F\times t\\\\J=(m\times a)\times t\\\\J=m\times (a\times t)\\\\J=m\times \Delta v=\Delta p[/tex]

Force : It is the product of mass of an object and acceleration of an object.

Velocity : It is defined as the change in the position of an object in unit time.

Acceleration : It is defined as the change in the velocity of an object in a unit time.

Hence, the impulse is equivalent to the change in momentum of  an object.