A 100 g bead slides along a frictionless wire with the parabolic shape y (2 m-¹) ². = Part A Find an expression for ay, the vertical component of acceleration. Hint: Use the basic definitions of velocity and acceleration. Express your answer in terms of some or all of the variables x, ₂, and a. ay = 4 (za₂ + v₂²) Submit Answer Requested Part B Previous Answers Submit Suppose the bead is released at some negative value of x and has a speed of 3.7 m/s as it passes through the lowest point of the parabola. What is the net force on the bead at this instant? Write your answer in component form. Enter your answers in newtons separated by a comma. Fnet, Fnet, 0,5.5 N Previous Answers Constants. Answer Requested ✓
A 100 g bead slides along a frictionless wire with the parabolic shape y (2 m-¹) ². = Part A Find an expression for ay, the vertical component of acceleration. Hint: Use the basic definitions of velocity and acceleration. Express your answer in terms of some or all of the variables x, ₂, and a. ay = 4 (za₂ + v₂²) Submit Answer Requested Part B Previous Answers Submit Suppose the bead is released at some negative value of x and has a speed of 3.7 m/s as it passes through the lowest point of the parabola. What is the net force on the bead at this instant? Write your answer in component form. Enter your answers in newtons separated by a comma. Fnet, Fnet, 0,5.5 N Previous Answers Constants. Answer Requested ✓
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need help for A&B Please make it simple.
![### Parabolic Bead Sliding Problem
#### Problem Statement:
A 100 g bead slides along a frictionless wire with the parabolic shape given by the equation:
\[ y = (2 \text{ m}^{-1}) x^2. \]
#### Part A:
**Goal:** Find an expression for \(a_y\), the vertical component of acceleration.
**Hint:** Use the basic definitions of velocity and acceleration.
**Required Expression:**
Express \(a_y\) in terms of some or all of the variables \(x\), \(v_x\), and \(a_x\).
\[ a_y = 4 \left( 2 x a_x + v_x^2 \right) \]
#### Part B:
**Situation:** Suppose the bead is released at some negative value of \(x\) and has a speed of 3.7 m/s as it passes through the lowest point of the parabola.
**Requirement:** Determine the net force on the bead at this instant and write your answer in component form.
**Answer Format:** Enter your answers in newtons separated by a comma.
**Example Answer:**
\[ F_{\text{net} x}, F_{\text{net} y} = 0, 5.5 \text{ N} \]
Ensure that the correct forces in both the x and y directions are calculated as specified.
---
This educational content is designed to help students understand the principles of motion on a parabolic path and how to apply kinematic and dynamic equations to solve problems involving forces and acceleration components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe70156d-6630-4fa1-bd10-160edc6ae6ae%2F864d84a3-2db8-4e19-836d-5953208ccc8b%2F8uqrqx3_processed.png&w=3840&q=75)
Transcribed Image Text:### Parabolic Bead Sliding Problem
#### Problem Statement:
A 100 g bead slides along a frictionless wire with the parabolic shape given by the equation:
\[ y = (2 \text{ m}^{-1}) x^2. \]
#### Part A:
**Goal:** Find an expression for \(a_y\), the vertical component of acceleration.
**Hint:** Use the basic definitions of velocity and acceleration.
**Required Expression:**
Express \(a_y\) in terms of some or all of the variables \(x\), \(v_x\), and \(a_x\).
\[ a_y = 4 \left( 2 x a_x + v_x^2 \right) \]
#### Part B:
**Situation:** Suppose the bead is released at some negative value of \(x\) and has a speed of 3.7 m/s as it passes through the lowest point of the parabola.
**Requirement:** Determine the net force on the bead at this instant and write your answer in component form.
**Answer Format:** Enter your answers in newtons separated by a comma.
**Example Answer:**
\[ F_{\text{net} x}, F_{\text{net} y} = 0, 5.5 \text{ N} \]
Ensure that the correct forces in both the x and y directions are calculated as specified.
---
This educational content is designed to help students understand the principles of motion on a parabolic path and how to apply kinematic and dynamic equations to solve problems involving forces and acceleration components.
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