mateo adds two labels to the venn diagram shown to explain how velocity and acceleration change during…

mateo adds two labels to the venn diagram shown to explain how velocity and acceleration change during simple harmonic motion. label 1: zero at the equilibrium position label 2: increases with increasing net force where should mateo place the labels? label 1: z label 2: z label 1: x label 2: z label 1: y label 2: y label 1: z label 2: x velocity acceleration x y z
Answer
Explanation:
Step1: Analyze velocity in simple - harmonic motion
In simple harmonic motion, the velocity is zero at the maximum - displacement (amplitude) positions and is maximum at the equilibrium position. So, the statement "Zero at the equilibrium position" does not describe velocity.
Step2: Analyze acceleration in simple - harmonic motion
According to Newton's second law $F = ma$, acceleration $a=\frac{F}{m}$. In simple harmonic motion, the net force $F=-kx$ (Hooke's law), so the acceleration increases with increasing net force. Also, the acceleration is zero at the equilibrium position. So, "Zero at the equilibrium position" describes acceleration and "Increases with increasing net force" describes acceleration.
Answer:
Label 1: Z Label 2: Z