A force of $4 N$ acts on an object of mass $2 k g$ in $X -$ direction and another force of $3 N$ acts on it in $Y -$ direction. Hence, the magnitude of the acceleration of the object will be___.

1.5 m s^{- 2}

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2.0 m s^{- 2}

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2.5 m s^{- 2}

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3.5 m s^{- 2}

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Solution

The correct option is C $2.5 m s^{- 2}$
resultant force acting on it= $\sqrt{4^{2} + 3^{2}} = 5$ N
$5 = m a = 2 a$
$a = 2.5 m / s^{2}$

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