**Problem 2:**The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m.a. **What is the mass of the ball?**b. **What is the maximum potential energy stored in the spring during the oscillations? Assume \( U = 0 \) at equilibrium.****Graph Explanation:**The provided graph plots the position \( x \) (in centimeters) of a small ball against time (in milliseconds). The x-axis represents time ranging from 0 ms to 30 ms, and the y-axis represents the position \( x \) of the ball ranging from 0 cm to 40 cm. The curve depicts oscillatory motion, indicating that the ball follows a periodic back-and-forth movement due to the spring.**Graph Details:**- At \( t = 0 \) ms, \( x \approx 27 \) cm.- At \( t \approx 7.5 \) ms, \( x \) reaches a peak value of \( x \approx 40 \) cm.- At \( t \approx 15 \) ms, \( x \approx 20 \) cm which is approximately the midpoint.- At \( t \approx 22.5 \) ms, \( x \) reaches a minimum value of \( x \approx 0 \) cm.- The motion then continues to repeat following a sinusoidal pattern.This periodic motion is characteristic of simple harmonic motion, a type of oscillatory motion. The spring constant provided (2000 N/m) along with this data will allow us to calculate the required physical properties such as the mass of the ball and the maximum potential energy stored in the spring.

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Description: **Problem 2:**The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m.a. **What is the mass of the ball?**b. **What is the maximum potential energy stored in the spring during the oscillations? Assume \( U = 0

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2. The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m. a. What is the mass of the ball? x (cm) N 40 30 20 10 5 10 15 20 25 30 time (ms) b. What is the maximum potential energy stored in the spring during the oscillations? Assume U = 0 at equilibrium.

2. The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m. a. What is the mass of the ball? x (cm) N 40 30 20 10 5 10 15 20 25 30 time (ms) b. What is the maximum potential energy stored in the spring during the oscillations? Assume U = 0 at equilibrium.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section6.6: Potential Energy Of A System

Problem 6.7QQ: A ball is connected to a light spring suspended vertically as shown in Figure 6.17. When pulled...

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