Answered: I need help with finding the magnitude…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 6STP

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Question

I need help with finding the magnitude and direction of the graph attached. For part a I've tried 2 times with this question using F = sqrt ((F_x² + F_y²)) to find the magnitude and the direction using tan^-1(y/x), and so far it still says incorrect.

A. Calculate the magnitude and direction.

B. When a fourth force is applied to the mass, it is observed that the velocity of the mass stops changing and remains constant. What are the horizontal and vertical components of that fourth force?

(This all the information that I was given)

60
€50
Force, Vertical-component (N)
40
30
20
10
-10
-20
-30
-30 -20 -10 0 10 20 30 40 50 60 70 80
Force,
Horizontal-component (N)

Expert Solution

Step 1: Introduction

The labled diagram is given below-

Here, $F subscript 1 comma space F subscript 2$ , and $F subscript 3$ are three forces acting on the system.

$F subscript 2 x end subscript$ , and $F subscript 2 y end subscript$ are the x, and the y-components of force $F subscript 2$ , repectively, and

$F subscript 3 x end subscript$ , and $F subscript 3 y end subscript$ are the x, and the y-components of force $F subscript 3$ , repectively.

From the above diagram,

$F subscript 1 equals 20 space straight N comma space space space F subscript 2 x end subscript equals 70 space straight N comma space space F subscript 3 x end subscript equals 80 space straight N space space space space space space space space space space space space space space space space space space space space space F subscript 2 y end subscript equals 40 space straight N comma space space F subscript 3 y end subscript equals 20 space straight N$

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