please i need help with both of them. Thank you ### Description:A 100 g particle experiences the one-dimensional, conservative force \( F_x \), shown in Figure 1. Let the zero of the potential energy be at \( x = 0 \, \text{m} \).#### Figure:- **Graph of Force \( F_x \) vs. Position \( x \):** - **X-axis (Position, \( x \)):** Ranges from 0 to 5 meters. - **Y-axis (Force, \( F_x \)):** Ranges from \(-20\) to \(5\) newtons. - **Graph Description:** - From \( x = 0 \) to \( x = 2 \, \text{m}\), the force \( F_x \) is constant at \(-20 \, \text{N}\). - From \( x = 2 \) to \( x = 4 \, \text{m}\), the force \( F_x \) linearly increases to \(5 \, \text{N}\). - From \( x = 4 \) to \( x = 5 \, \text{m}\), the force remains constant at \(5 \, \text{N}\).### Problem Statement:#### Part ESuppose the particle is shot toward the right from \( x = 1.0 \, \text{m} \) with a speed of \( 19 \, \text{m/s} \). Where is the particle's turning point?Express your answer to two significant figures and include the appropriate units.**Input Box for Answer**: - \( x_t = [ \text{Value} ] \, [ \text{Units} ] \)**Submit Button**### Additional Features:- **View Available Hint(s):** Option to view hints for solving the problem.- **Submit Button**: To submit the answer. **Problem Statement:**A 100 g particle experiences the one-dimensional, conservative force \( F_x \) shown in (Figure 1). Let the zero of the potential energy be at \( x = 0 \, \text{m} \).**Graph Description:**The graph depicts the force \( F_x \) (in Newtons) versus position \( x \) (in meters). The force varies with position as follows:- For \( 0 \leq x < 2 \, \text{m} \), \( F_x = 0 \, \text{N} \).- For \( 2 \leq x < 4 \, \text{m} \), \( F_x = 10 \, \text{N} \).- For \( 4 \leq x \leq 5 \, \text{m} \), \( F_x = 0 \, \text{N} \).The graph clearly represents a step function with a positive force between \( x = 2 \, \text{m} \) and \( x = 4 \, \text{m} \).**Question:****Part D:**What is the potential energy at \( x = 4.0 \, \text{m} \)? *Hint:* Use the definition of potential energy and the geometric interpretation of work.Express your answer to two significant figures and include the appropriate units.**Answer Input:**\( U_4 = \) [ Value ] [ Units ] Click "Submit" once you have filled in your answer. **Instructions:**Ensure that you apply the principles of work and energy correctly. Consider the area under the force versus position graph to calculate the work done, which relates to changes in potential energy.

Name: please i need help with both of them. Thank you ### Description:A 100
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: please i need help with both of them. Thank you ### Description:A 100 g particle experiences the one-dimensional, conservative force \( F_x \), shown in Figure 1. Let the zero of the potential energy be at \( x = 0 \, \text{m} \).#### Figure:- **Grap

Potential energy: Potential energy is the energy that store in system due to position, shape, or configuration. For conservative forces, stored energy is completely recoverable.