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Amy has a mass of [tex]$30 \, \text{kg}$[/tex], and she is riding a skateboard traveling 5 meters per second.

What is her momentum?

A. [tex]$5 \, \text{kg} \cdot \text{m} / \text{s}$[/tex]

B. [tex]$6 \, \text{kg} \cdot \text{m} / \text{s}$[/tex]

C. [tex]$30 \, \text{kg} \cdot \text{m} / \text{s}$[/tex]

D. [tex]$150 \, \text{kg} \cdot \text{m} / \text{s}$[/tex]


Sagot :

To determine Amy's momentum while she is riding the skateboard, we will use the formula for momentum.

Momentum (\( p \)) can be calculated using the formula:
[tex]\[ p = m \times v \][/tex]

where:
- \( m \) is the mass of the object (in kilograms)
- \( v \) is the velocity of the object (in meters per second)

Given:
- Amy's mass (\( m \)) is \( 30 \, \text{kg} \).
- Her velocity (\( v \)) is \( 5 \, \text{m/s} \).

Substituting the given values into the formula:

[tex]\[ p = 30 \, \text{kg} \times 5 \, \text{m/s} \][/tex]

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

Therefore, Amy's momentum is \( 150 \, \text{kg} \cdot \text{m/s} \).

The correct answer is:
[tex]\[ 150 \, \text{kg} \cdot \text{m/s} \][/tex]