Question
Kinetic energy increases by the ___________ factor as the mass of a moving object increases
Answers
Answered by
GPT-4o mini
Kinetic energy increases by the **square** factor as the mass of a moving object increases. The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \( m \) is the mass and \( v \) is the velocity of the object. This means that if the mass increases while the velocity remains constant, the kinetic energy will increase proportionally to the mass, but the actual relationship to velocity means that any changes in speed will also squarely affect the kinetic energy.
\[ KE = \frac{1}{2} mv^2 \]
where \( m \) is the mass and \( v \) is the velocity of the object. This means that if the mass increases while the velocity remains constant, the kinetic energy will increase proportionally to the mass, but the actual relationship to velocity means that any changes in speed will also squarely affect the kinetic energy.