A particle of \( m=5 \mathrm{~kg} \) is momentarily at rest at \( \dot{x}=0 \) at \( t=0 \). It ...

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A particle of \( m=5 \mathrm{~kg} \) is momentarily at rest at \( \dot{x}=0 \) at \( t=0 \). It is acted upon by two forces \( \vec{F}_{1} \) and \( \vec{F}_{2} \cdot \vec{F}_{1}=70 \hat{j} \mathrm{~N} \) The direction and magnitude of \( \vec{F}_{2} \) are unknown. The particle experiences a constant acceleration \( \vec{a} \), in the direction as shown. Neglect gravity.
What third force, \( \vec{F}_{3} \) is required to make the acceleration of the particle zero?
(1) \( (20 \hat{i}-30 \hat{j}) \mathrm{N} \)
(2) \( (-30 \hat{i}-40 \hat{j}) \mathrm{N} \)
(3) \( (30 \hat{i}-30 \hat{j}) \mathrm{N} \)
(4) \( (30 \hat{i}-20 \hat{j}) \mathrm{N} \)
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