10. A person with a mass of 15 kg is walking downhill at a velocity of [tex]10 \, \text{m/s}[/tex]. What's the walker's momentum?

A. [tex]75 \, \text{kg} \cdot \text{m/s}[/tex]
B. [tex]150 \, \text{kg} \cdot \text{m/s}[/tex]
C. [tex]5 \, \text{kg} \cdot \text{m/s}[/tex]
D. [tex]15 \, \text{kg} \cdot \text{m/s}[/tex]



Answer :

To solve for the walker's momentum, you can use the formula for momentum:

[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]

Here, the given values are:
- Mass ([tex]\(m\)[/tex]) = 15 kg
- Velocity ([tex]\(v\)[/tex]) = 10 m/s

Substitute the given values into the formula to find the momentum:

[tex]\[ \text{Momentum} = 15 \, \text{kg} \times 10 \, \text{m/s} \][/tex]
[tex]\[ \text{Momentum} = 150 \, \text{kg} \cdot \text{m/s} \][/tex]

So, the walker's momentum is [tex]\(150 \, \text{kg} \cdot \text{m/s}\)[/tex].

Therefore, the correct answer is:
B. [tex]\(150 \, \text{kg} \cdot \text{m/s}\)[/tex]