A 15 kg object has a momentum of 150 kg-m/s north. What is the object's
velocity?
O A. 135 m/s
O B. 2,250 m/s
O C. 0.1 m/s
O D. 10 m/s

Respuesta :

Answer:

10 m/s

Explanation:

divide 150 by 15

Answer:

[tex]\boxed {\boxed {\sf D. \ 10 \ m/s}}[/tex]

Explanation:

Momentum can be found by multiplying mass by velocity.

[tex]p=mv[/tex]

If we rearrange this formula for velocity (v), then the formula becomes:

[tex]\frac{p}{m}=\frac{mv}{m}[/tex]

[tex]\frac{p}{m} =v[/tex]

We have to divide the momentum by the mass. The momentum is 150 kg*m/s and the mass is 15 kilograms.

[tex]p=150 \ kg*m/s\\m=15 \ kg[/tex]

Substitute the values into the formula.

[tex]\frac{150 \ kg *m/s}{15 \ kg} =v[/tex]

Divide. Note that the kilograms (kg) will cancel each other out.

[tex]10 \ m/s=v[/tex]

The velocity of the object is 10 meters per second.