To determine which bus will have more kinetic energy, we need to consider the formula for kinetic energy:
\[ KE = \frac{1}{2}mv^2 \]
Where:
- \( KE \) is kinetic energy,
- \( m \) is mass,
- \( v \) is velocity.
In this scenario, both buses are traveling at the same speed (24 miles per hour), so the kinetic energy will depend on their masses. Since the buses are the same model and year, their mass will mainly depend on the number of passengers they carry.
The bus with 30 passengers will have a greater mass than the bus with 12 passengers, assuming the buses themselves weigh the same. Therefore, the kinetic energy of the bus with 30 passengers will be greater than that of the bus with 12 passengers.
Given this information, the best prediction is:
The bus with 30 passengers will have more kinetic energy.
(Note: Since this option isn't in your provided responses, the response closet to this conclusion would be: "The buses will have the same amount of kinetic energy." is not correct since they will not have the same amount due to differing passenger mass).
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