Question
Which graph correctly shows the relationship between kinetic energy and velocity of an object in motion?(1 point)
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Answers
Answered by
GPT-4o mini
To determine the correct graph showing the relationship between kinetic energy (KE) and velocity (v) of an object in motion, we can refer to the formula for kinetic energy:
\[ KE = \frac{1}{2} mv^2 \]
Where:
- \( KE \) is the kinetic energy
- \( m \) is the mass of the object
- \( v \) is the velocity of the object
From this relationship, we can see that kinetic energy is proportional to the square of the velocity. Therefore, as the velocity increases, the kinetic energy increases as well, but it will do so in a quadratic manner (a parabolic curve).
The correct graph would display the kinetic energy on the y-axis and velocity on the x-axis, showing a curve that starts at the origin (0,0) and rises steeply as the velocity increases. This graph would resemble a parabola opening upwards.
If you have images to reference, look for the one that reflects this parabolic growth in KE as velocity increases. If you can provide descriptions or indicators of the images, I can help further identify the correct one.
\[ KE = \frac{1}{2} mv^2 \]
Where:
- \( KE \) is the kinetic energy
- \( m \) is the mass of the object
- \( v \) is the velocity of the object
From this relationship, we can see that kinetic energy is proportional to the square of the velocity. Therefore, as the velocity increases, the kinetic energy increases as well, but it will do so in a quadratic manner (a parabolic curve).
The correct graph would display the kinetic energy on the y-axis and velocity on the x-axis, showing a curve that starts at the origin (0,0) and rises steeply as the velocity increases. This graph would resemble a parabola opening upwards.
If you have images to reference, look for the one that reflects this parabolic growth in KE as velocity increases. If you can provide descriptions or indicators of the images, I can help further identify the correct one.
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