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Problems with Pseudo Force

What force is...

Question

What force is required to push a $200 N$ body upon a $30^{o}$ smooth incline with an acceleration of $2 m / s^{2}$ , if the force is to be applied along the plane. $(g = 10 m / s^{2})$

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Solution

$200 N$ means 20kg object
From above image

$F - 100 = 20 \times a$

since $a = 2$
so,
$F = 100 + 40$

$F = 140 N$

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