Question

um ojeto de 2,00kg de massa esta sujeito a tres forças , que lhe imprimem uma aceleraçao a=-(8,00m/s^)i+(6,00m/s^)j se duas forças f1 =(30,0N)i+(16,0N)j e F2 =-(12,oN)i+(8,00N)j qual a terceira força?

Answer 1

Olá KSabrina!!

$\\ \mathsf{\overrightarrow{\mathsf{F}}_{\mathsf{res}} = m \cdot \overrightarrow{\mathsf{\alpha}}} \\\\ \mathsf{\overrightarrow{\mathsf{f}_1} + \overrightarrow{\mathsf{f}_2} + \overrightarrow{\mathsf{f_3}} = m \cdot \overrightarrow{\mathsf{\alpha}}} \\\\ \mathsf{\left ( 30, 16 \right ) + \left ( - 12, 8 \right ) + \overrightarrow{\mathsf{f_3}} = 2 \cdot \left ( - 8, 6 \right )} \\\\ \mathsf{\left ( 18, 24 \right ) + \overrightarrow{\mathsf{f_3}} = \left ( - 16, 12 \right )} \\\\ \mathsf{\overrightarrow{\mathsf{f_3}} = \left ( - 16, 12 \right ) - \left ( 18, 24 \right )} \\\\ \mathsf{\overrightarrow{\mathsf{f_3}} = \left ( - 34, - 12 \right )} \\\\ \boxed{\mathsf{\overrightarrow{\mathsf{f_3}} = - \left ( 34,0 \ N \right )\hat{i} - (12,0 \ N)\hat{j}}}$