Three particles of masses 2kg ,3kg ,5 kg are acted upon by forces (i^+ 2j^), (2j^ + 3k^) and i^- k^ Newton respectively. The magnitude of acceleration of centre of mass in ms-2 is

aCM = F1 + F2 + F3M = (i^ + 2j^) + (2j^ + 3k^) + (i^ - k^)10 = 2i^ + 4j^ +2k^10

Three particles of masses 2kg ,3kg ,5 kg are acted upon by forces (i^+ 2j^), (2j^ + 3k^) and i^- k^ Newton respectively. The magnitude of acceleration of centre of mass in ms-2 is

aCM = F1 + F2 + F3M = (i^ + 2j^) + (2j^ + 3k^) + (i^ - k^)10 = 2i^ + 4j^ +2k^10

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Three particles of masses 2kg ,3kg ,5 kg are acted upon by forces $(\hat{i} + 2 \hat{j}), (2 \hat{j} + 3 \hat{k}) and (\hat{i} - \hat{k})$ Newton respectively. The magnitude of acceleration of centre of mass in ${ms}^{- 2}$ is

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$0.2 \hat{i} + 0.4 \hat{j} + 0.2 \hat{k}$

$\frac{7 \hat{i} + 10 \hat{j} + 44 \hat{k}}{10}$

$\sqrt{3}$

$2 \sqrt{3}$

answer is D.

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$a_{CM} = \frac{F_{1} + F_{2} + F_{3}}{M} = \frac{(\hat{i} + 2 \hat{j}) + (2 \hat{j} + 3 \hat{k}) + (\hat{i} - \hat{k})}{10} = \frac{2 \hat{i} + 4 \hat{j} + 2 \hat{k}}{10}$

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Three particles of masses 2kg ,3kg ,5 kg are acted upon by forces (i^+ 2j^), (2j^ + 3k^) and i^- k^ Newton respectively. The magnitude of acceleration of centre of mass in ms-2 is

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Three particles of masses 2kg ,3kg ,5 kg are acted upon by forces $(\hat{i} + 2 \hat{j}), (2 \hat{j} + 3 \hat{k}) and (\hat{i} - \hat{k})$ Newton respectively. The magnitude of acceleration of centre of mass in ${ms}^{- 2}$ is