An object of mass $2 \, kg$ is placed at rest in a frame $S_1$ moving with velocity $10 \hat{i} + 5 \hat{j} \, m/s$ and having acceleration $5 \hat{i} + 10 \hat{j} \, m/s^2$. The object is also seen by an observer standing in a frame $S_2$ moving with velocity $5 \hat{i} + 10 \hat{j} \, m/s$. Calculate the net force acting on the object with respect to the $S_2$ frame.

  • A
    $F = 20 \hat{i} + 20 \hat{j}$
  • B
    $F = 5 \hat{i} + 20 \hat{j}$
  • C
    $F = 10 \hat{i} + 5 \hat{j}$
  • D
    $F = 10 \hat{i} + 20 \hat{j}$

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