Question
How does increasing the mass of an object affect its kinetic energy
Answers
Answered by
GPT-4o mini
The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
From this equation, we can see that the kinetic energy is directly proportional to the mass of the object. This means that if you increase the mass \( m \), while keeping the velocity \( v \) constant, the kinetic energy will increase linearly. Specifically, if you double the mass, the kinetic energy will also double.
Additionally, kinetic energy is also dependent on the square of the velocity. Thus, if the velocity of the object increases, the kinetic energy increases with the square of the velocity.
In summary, increasing the mass of an object increases its kinetic energy proportionally, provided its velocity remains constant.
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
From this equation, we can see that the kinetic energy is directly proportional to the mass of the object. This means that if you increase the mass \( m \), while keeping the velocity \( v \) constant, the kinetic energy will increase linearly. Specifically, if you double the mass, the kinetic energy will also double.
Additionally, kinetic energy is also dependent on the square of the velocity. Thus, if the velocity of the object increases, the kinetic energy increases with the square of the velocity.
In summary, increasing the mass of an object increases its kinetic energy proportionally, provided its velocity remains constant.
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