If two forces of $20 N$ towards north and $12 N$ towards south are acting on an object. What will be resultant force?

32 N

toward north

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20 N

towards north

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32 N

towards south

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8 N

towards north

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Solution

The correct option is C $8 N$ towards north
Force acting towards north $_{N} = 20$ N $^i$ i.e. towards north
Force acting towards south $_{S} = 12$ N $(-^i)$ i.e. towards south
Resultant force $_{R} =_{N} +_{S}$
$_{R} = 20^i - 12^i = 8^i$
Thus resultant force will act towards north with magnitude $8 N$ .

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If two forces of 20N towards north and 12N towards south are acting on an object. What will be resultant force?

The correct option is C 8N towards northForce acting towards north →FN=20 N ^i i.e. towards northForce acting towards south →FS=12 N (−^i) i.e. towards southResultant force →FR=→FN+→FS→FR=20^i−12^i=8^iThus resultant force will act towards north with magnitude 8N.

If two forces of $20 N$ towards north and $12 N$ towards south are acting on an object. What will be resultant force?