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In a collision, a 15 kg mass moving at 2m/s transfers all of its momentum to a 5kg mass. What is the velocity of the 5kg mass after collision?

Respuesta :

Answer:

Speed of 5 kg mass when momentum it transferred to it is 6 m/s

Explanation:

As we know that momentum is the product of mass and velocity of the object

So here we know that

[tex]m = 15 kg[/tex]

[tex]v = 2 m/s[/tex]

now momentum of this object is given as

[tex]P = (15)(2)[/tex]

[tex]P = 30 kg m/s[/tex]

Now when it transfer all its momentum into the other object then we have

[tex]P = m' v[/tex]

[tex]30 = 5 v[/tex]

[tex]v = 6 m/s[/tex]

The velocity of the 5kg mass after collision is 6 m/s.

To calculate the momentum of an object it is necessary to relate its mass and its velocity:

                                           [tex]P = m \times v[/tex]

So, to calculate the momentum of a 15kg object moving at 2m/s it is necessary to make the following expression:

                                             [tex]P = 15 \times 2[/tex]

                                           [tex]P = 30 kgm/s[/tex]

As the entire value of momentum is transferred to the 5 kg mass during the collision, we have:

                                           [tex]30 = 5 \times v[/tex]

                                            [tex]v = 6m/s[/tex]

So, the velocity of the 5kg mass after collision is equal to 6m/s.

Learn more about momentum in: brainly.com/question/4956182

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