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Determine the magnitude and direction of the net force with respect to ground acting on a stone of mass $0.2 k g$ , just after it is dropped from the window of a train which is accelerating at $5 m / s^{2}$ ? Take $g = 10 m / s^{2}$ .

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$2 N$ downward

$\sqrt{5} N,$ making an angle of $\tan^{- 1} (2)$ with trains motion

$2 N$ upward

$\sqrt{5} N$ , making an angle of $\tan^{- 1} (2)$ with vertical

answer is A.

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Detailed Solution

Gravitational force only acts towards the ground (vertically downwards) and after dropping from the train the stone will acquire only horizontal velocity but not acceleration.

Net force will be mg downwards which is 2 N downwards.

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