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A force of 52 N acts on a particle placed at point (3, 4) towards a point (-2,- 8). If mass of particle is 2 kg, then its acceleration vector is :

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$- 5 \hat{i} - 12 \hat{j}$

$- 48 \hat{i} - 20 \hat{j}$

$- 10 \hat{i} - 24 \hat{j}$

$- 20 \hat{i} - 48 \hat{j}$

answer is B.

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Detailed Solution

$\vec{a} = \frac{\vec{F}}{m} = \frac{52}{2} (\frac{- 5 \hat{i} - 12 \hat{j}}{13}) = - 10 \hat{i} - 24 \hat{j}$

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