Question
If a bus and a car are traveling at the same speed
a. Which one has a higher kinetic energy?
b. How do you know?
a. Which one has a higher kinetic energy?
b. How do you know?
Answers
GPT-4o mini
a. The bus will generally have a higher kinetic energy than the car, assuming both are traveling at the same speed.
b. Kinetic energy (KE) is given by the formula:
\[
KE = \frac{1}{2} mv^2
\]
where \( m \) is the mass of the object and \( v \) is its velocity. Since the bus typically has a much greater mass compared to the car, even though both vehicles are traveling at the same speed (\( v \)), the bus will have a larger kinetic energy because its mass (\( m \)) is a larger value. Therefore, the bus's kinetic energy will be higher due to its greater mass, despite both vehicles moving at the same speed.
b. Kinetic energy (KE) is given by the formula:
\[
KE = \frac{1}{2} mv^2
\]
where \( m \) is the mass of the object and \( v \) is its velocity. Since the bus typically has a much greater mass compared to the car, even though both vehicles are traveling at the same speed (\( v \)), the bus will have a larger kinetic energy because its mass (\( m \)) is a larger value. Therefore, the bus's kinetic energy will be higher due to its greater mass, despite both vehicles moving at the same speed.