**image included** The plot shows the position versus time of a mass of 1.5 kg on a spring. What is the spring constant? **Graph Analysis: Sinusoidal Motion**The graph displays a sinusoidal wave representing position (in centimeters) over time (in seconds). The horizontal axis marks Time, ranging from 0 to 10 seconds, while the vertical axis indicates Position, ranging from -5 to 5 centimeters.### Key Features:- **Wave Pattern:** The wave demonstrates periodic sinusoidal motion, indicative of oscillatory behavior often seen in harmonic motion.- **Crests and Troughs:** - Crests occur at approximately 2 seconds and 8 seconds, reaching a maximum position of 4 centimeters. - Troughs are seen at about 4 seconds and 10 seconds, with a minimum position of -4 centimeters.- **Amplitude:** The amplitude is around 4 centimeters, representing the peak deviation from the wave's central axis (position = 0).- **Period:** The pattern repeats approximately every 6 seconds, suggesting the period of the wave.This graphical representation is useful in understanding concepts of oscillation and wave mechanics in physics.

Name: **image included** The plot shows the position versus time of a mass o
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: **image included** The plot shows the position versus time of a mass of 1.5 kg on a spring. What is the spring constant? **Graph Analysis: Sinusoidal Motion**The graph displays a sinusoidal wave representing position (in centimeters) over time (in se

The time required to complete one cycle of oscillation is known as time period. T = t2 -t1 = 5.9 s - 0.9 s = 5 s Write the equation for the time period. ω = 2π/T Sqrt(k/m) = 2π/T (k/m) = [2π/T]2 k = 1.5[2π/5]2 k= 2.37 N/m