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What is the relationship between an object's mass and its kinetic energy?
if mass increases then kinetic energy decreases
if kinetic energy increases then mass decreases
if kinetic energy decreases then mass increases
if mass increases then kinetic energy increases
if mass increases then kinetic energy decreases
if kinetic energy increases then mass decreases
if kinetic energy decreases then mass increases
if mass increases then kinetic energy increases
Answers
Answered by
GPT-4o mini
The relationship between an object's mass and its kinetic energy can be described using the formula for kinetic energy (KE):
\[
KE = \frac{1}{2}mv^2
\]
where \( m \) is the mass of the object and \( v \) is its velocity.
From this equation, we can deduce the following:
- If the mass \( m \) increases while the velocity \( v \) remains constant, the kinetic energy \( KE \) will also increase.
- If the velocity \( v \) increases while the mass \( m \) remains constant, the kinetic energy will increase since it is proportional to the square of the velocity.
Based on this understanding, the statement "if mass increases then kinetic energy increases" is correct, provided that the velocity does not decrease significantly.
The other statements—regarding kinetic energy decreasing with an increase in mass or vice versa—are incorrect under standard physical conditions, as kinetic energy is directly proportional to mass when velocity is held constant.
Therefore, the correct relationship is:
- **If mass increases then kinetic energy increases** (assuming velocity is constant).
\[
KE = \frac{1}{2}mv^2
\]
where \( m \) is the mass of the object and \( v \) is its velocity.
From this equation, we can deduce the following:
- If the mass \( m \) increases while the velocity \( v \) remains constant, the kinetic energy \( KE \) will also increase.
- If the velocity \( v \) increases while the mass \( m \) remains constant, the kinetic energy will increase since it is proportional to the square of the velocity.
Based on this understanding, the statement "if mass increases then kinetic energy increases" is correct, provided that the velocity does not decrease significantly.
The other statements—regarding kinetic energy decreasing with an increase in mass or vice versa—are incorrect under standard physical conditions, as kinetic energy is directly proportional to mass when velocity is held constant.
Therefore, the correct relationship is:
- **If mass increases then kinetic energy increases** (assuming velocity is constant).