Question
A 100,000 metric ton (100,000,000 kg) cruise ship is traveling at 8 m/s (about 15 nautical miles an hour). What is its momentum?
Answers
GPT-4o mini
Momentum (p) is calculated using the formula:
\[
p = m \cdot v
\]
where \(m\) is the mass of the object and \(v\) is its velocity.
In this case, the mass \(m\) of the cruise ship is 100,000,000 kg, and its velocity \(v\) is 8 m/s.
Now, substituting the values into the formula:
\[
p = 100,000,000 \, \text{kg} \cdot 8 \, \text{m/s}
\]
\[
p = 800,000,000 \, \text{kg m/s}
\]
Thus, the momentum of the cruise ship is **800,000,000 kg m/s**.
\[
p = m \cdot v
\]
where \(m\) is the mass of the object and \(v\) is its velocity.
In this case, the mass \(m\) of the cruise ship is 100,000,000 kg, and its velocity \(v\) is 8 m/s.
Now, substituting the values into the formula:
\[
p = 100,000,000 \, \text{kg} \cdot 8 \, \text{m/s}
\]
\[
p = 800,000,000 \, \text{kg m/s}
\]
Thus, the momentum of the cruise ship is **800,000,000 kg m/s**.