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A person with a mass of 15 kg is walking downhill at a velocity of 10 m/s. What's the walker's momentum?

A. 150 kg-m/s
B. 15 kg-m/s
C. 5 kg-m/s
D. 75 kg-m/s

Sagot :

To determine the walker's momentum, we will use the formula for momentum in physics:

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

where:
- [tex]\( p \)[/tex] is the momentum,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( v \)[/tex] is the velocity of the object.

In this case, we are given:
- The mass ([tex]\(m\)[/tex]) of the person is [tex]\(15 \)[/tex] kg.
- The velocity ([tex]\(v\)[/tex]) of the person is [tex]\(10 \)[/tex] m/s.

Now, let's calculate the momentum:

1. Start with the formula for momentum:

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

2. Substitute the given values for mass and velocity into the formula:

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

3. Perform the multiplication:

[tex]\[ p = 150 \, \text{kg-m/s} \][/tex]

Therefore, the momentum of the walker is [tex]\(150 \, \text{kg-m/s}\)[/tex].

Based on this calculation, the correct option is:
A. 150 kg-m/s