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A particle of mass \( m=5 \mathrm{~kg} \), is momentarily at rest at
\( \mathrm{P} \) \( x=0 \) at \( t=0 \). It is acted upon by two forces \( \vec{F}_{1} \) and

W \( \vec{F}_{2} \). It is given that \( \vec{F}_{1}=70 N \hat{j} \) and \( \vec{F}_{2} \) is unknown. The particle experiences a constant acceleration \( \vec{a} \), in the direction as shown. What third force, \( \vec{F}_{3} \), is required to make the acceleration of the particle zero? (Note: \( \sin \theta=4 / 5, \cos \theta=3 / 5 \) and \( \tan \theta=4 / 3 \). Neglect gravity.)
(1) \( 30 \hat{i}+40 \hat{j} \)
(2) \( -(30 \hat{i}+40 \hat{j}) \)
(3) \( 40 \hat{i}+30 \hat{j} \)
(4) \( -(40 \hat{i}+30 \hat{j}) \)
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