5 [In this question i and jare horizontal unit vectors due east and due north respectively] A particle of mass 1.75 kg is at rest when it is acted on by three forces, F₁, F₂ and F3, where F₁ = (7i - 2j) N, F₂ = (mi+j) N and F3 = (3i+2mj) N and m is a constant. The particle begins to move on a bearing of 135º. (a) Find the value of m. (b) Show that the magnitude of the acceleration of the particle is 4√2 ms².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Please andwer p[art (a) and (b)

 

5
[In this question i and jare horizontal unit vectors due east and due north respectively]
A particle of mass 1.75 kg is at rest when it is acted on by three forces, F₁, F₂ and F3, where
F₁ = (7i - 2j) N, F₂ = (mi+j) N_and F3 = (3i+2mj) N
and m is a constant.
The particle begins to move on a bearing of 135º.
(a) Find the value of m.
(b) Show that the magnitude of the acceleration of the particle is 4√2 ms².
Transcribed Image Text:5 [In this question i and jare horizontal unit vectors due east and due north respectively] A particle of mass 1.75 kg is at rest when it is acted on by three forces, F₁, F₂ and F3, where F₁ = (7i - 2j) N, F₂ = (mi+j) N_and F3 = (3i+2mj) N and m is a constant. The particle begins to move on a bearing of 135º. (a) Find the value of m. (b) Show that the magnitude of the acceleration of the particle is 4√2 ms².
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