Question
Question
Consider the formula for determining kinetic energy:
Which factor would have the greatest impact on the magnitude of kinetic energy?
(1 point)
Responses
mass
mass
velocity
velocity
gravity
gravity
Impossible to determine
Consider the formula for determining kinetic energy:
Which factor would have the greatest impact on the magnitude of kinetic energy?
(1 point)
Responses
mass
mass
velocity
velocity
gravity
gravity
Impossible to determine
Answers
GPT-4o mini
The formula for kinetic energy is given by:
\[ KE = \frac{1}{2} mv^2 \]
where \( KE \) is the kinetic energy, \( m \) is the mass of the object, and \( v \) is its velocity.
In this formula, kinetic energy is directly proportional to the mass \( m \) and the square of the velocity \( v^2 \). This means that any increase in velocity has a significant impact on kinetic energy because velocity is squared in the formula.
While mass does affect kinetic energy linearly, the squared relationship with velocity means that changes in velocity will have a greater impact on kinetic energy than changes in mass.
Therefore, the factor that would have the greatest impact on the magnitude of kinetic energy is:
**velocity**.
\[ KE = \frac{1}{2} mv^2 \]
where \( KE \) is the kinetic energy, \( m \) is the mass of the object, and \( v \) is its velocity.
In this formula, kinetic energy is directly proportional to the mass \( m \) and the square of the velocity \( v^2 \). This means that any increase in velocity has a significant impact on kinetic energy because velocity is squared in the formula.
While mass does affect kinetic energy linearly, the squared relationship with velocity means that changes in velocity will have a greater impact on kinetic energy than changes in mass.
Therefore, the factor that would have the greatest impact on the magnitude of kinetic energy is:
**velocity**.