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Which of these values is equivalent to the change in momentum of

an object?

Aimpulse
Bforce
Cvelocity
Dacceleration

Verified Answer :

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 : \(\Delta p=m\times \Delta V\)

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 : \(J=F\times t\)

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

Proof of \(J=\Delta p\) :

\(J=F\times t\\\\J=(m\times a)\times t\\\\J=m\times (a\times t)\\\\J=m\times \Delta v=\Delta p\)

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.