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Mejia Watson

12/09/2022 · High School

Object \( A \) has a mass \( mA \) and velocity vA. Object \( B \) has a mass equal to \( 3 mA \) . What velocity would object \( B \) have if its momentum equaled the momentum of object \( A \) ? 

Answer
expertExpert-Verified Answer

Hall Ruiz
Qualified Tutor
5.0 (44votes)

The momentum of an object is given by the product of its mass and velocity, i.e.,

momentum = mass x velocity

Therefore, the momentum of object A is:

pA = mA x vA

The momentum of object B is:

pB = 3mA x vB

Since the momentum of object B is equal to the momentum of object A, we can set pA = pB and solve for vB:

 

mA x vA = 3mA x vB

Dividing both sides by 3mA, we get:

vB = vA / 3

 

Therefore, if the momentum of object B is to be equal to the momentum of object A, object B would have to have a velocity of vA/3, which is one-third the velocity of object A.

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