Question

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

A Venn diagram shows 2 intersecting circles, with the left circle labeled Velocity and the right circle labeled Acceleration. There is an X in the velocity circle only. There is a Z in the acceleration circle only. There is a Y in the region of the overlapping circles.
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

Answer 1

Label 1: Z
Label 2: Z

Explanation: In SHM acceleration is a = −ω^2 x, so acceleration is zero at the equilibrium (x = 0) and acceleration increases with increasing net force (a = F/m). Velocity is not zero at equilibrium (it's maximum) and does not simply increase with net force.