Question
An object has a velocity of 5 m/s and a momentum of 100 kg⋅m/s. What is the mass of the object?(1 point)
Answers
GPT-4o mini
Momentum (p) is calculated using the formula:
\[ p = m \cdot v \]
where:
- \( p \) is the momentum,
- \( m \) is the mass of the object,
- \( v \) is the velocity.
We are given:
- \( p = 100 \, \text{kg} \cdot \text{m/s} \)
- \( v = 5 \, \text{m/s} \)
We can rearrange the formula to solve for mass (\( m \)):
\[ m = \frac{p}{v} \]
Now, substituting the known values:
\[ m = \frac{100 \, \text{kg} \cdot \text{m/s}}{5 \, \text{m/s}} \]
Calculating this gives:
\[ m = 20 \, \text{kg} \]
So, the mass of the object is 20 kg.
\[ p = m \cdot v \]
where:
- \( p \) is the momentum,
- \( m \) is the mass of the object,
- \( v \) is the velocity.
We are given:
- \( p = 100 \, \text{kg} \cdot \text{m/s} \)
- \( v = 5 \, \text{m/s} \)
We can rearrange the formula to solve for mass (\( m \)):
\[ m = \frac{p}{v} \]
Now, substituting the known values:
\[ m = \frac{100 \, \text{kg} \cdot \text{m/s}}{5 \, \text{m/s}} \]
Calculating this gives:
\[ m = 20 \, \text{kg} \]
So, the mass of the object is 20 kg.