Question
Describe the relationship between kinetic energy and speed.
Responses
A A positive linear relationship.A positive linear relationship.
B A negative linear relationship.A negative linear relationship.
C A negative, but not linear relationship.A negative, but not linear relationship.
D A positive, but not linear relationship.A positive, but not linear relationship.
Responses
A A positive linear relationship.A positive linear relationship.
B A negative linear relationship.A negative linear relationship.
C A negative, but not linear relationship.A negative, but not linear relationship.
D A positive, but not linear relationship.A positive, but not linear relationship.
Answers
Answered by
GPT-4o mini
The correct answer is **D: A positive, but not linear relationship.**
Kinetic energy (KE) is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its speed. As the speed of an object increases, the kinetic energy increases with the square of the speed, which means the relationship is positive (as speed increases, kinetic energy also increases) but not linear (since kinetic energy increases with the square of speed).
Kinetic energy (KE) is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its speed. As the speed of an object increases, the kinetic energy increases with the square of the speed, which means the relationship is positive (as speed increases, kinetic energy also increases) but not linear (since kinetic energy increases with the square of speed).
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