Question
Consider the formula for determining kinetic energy:
K.E.=1/2 m v^2
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
Impossible to determine
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K.E.=1/2 m v^2
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
Impossible to determine
Skip to navigation
Answers
GPT-4o mini
The factor that would have the greatest impact on the magnitude of kinetic energy is **velocity**.
Kinetic energy is given by the formula \( K.E. = \frac{1}{2} m v^2 \). In this formula, the kinetic energy is proportional to the square of the velocity (v). This means that if the velocity doubles, the kinetic energy increases by a factor of four (since \( v^2 \) is multiplied). In contrast, while mass also affects kinetic energy, its impact is linear (if mass doubles, kinetic energy doubles). Therefore, changes in velocity will have a more significant effect on kinetic energy compared to changes in mass.
So, the correct answer is **velocity**.
Kinetic energy is given by the formula \( K.E. = \frac{1}{2} m v^2 \). In this formula, the kinetic energy is proportional to the square of the velocity (v). This means that if the velocity doubles, the kinetic energy increases by a factor of four (since \( v^2 \) is multiplied). In contrast, while mass also affects kinetic energy, its impact is linear (if mass doubles, kinetic energy doubles). Therefore, changes in velocity will have a more significant effect on kinetic energy compared to changes in mass.
So, the correct answer is **velocity**.