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General Physics

New kid on the Block

 Joined: 13 Feb 2011 Post: 14
16 Nov 2011 15:14:10 IST
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work done is a fd both f and displacement as vector quantity but why work done is scalar q
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work done is a fd both f and displacement as vector quantity but why work done is scalar q

Cool goIITian

Joined: 8 Oct 2011
Posts: 78
16 Nov 2011 15:19:46 IST
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Simply because the direction doesn't play any major role... It won't matter if the work is done in east or west direction, the thing that matters is its MAGNITUDE. Work done remains same in all the direction and so it has nothing to do with the directions, making it a scalar quantity...

Scorching goIITian

Joined: 24 Aug 2011
Posts: 256
16 Nov 2011 18:47:43 IST
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The definition of work is the integral of the dot product of the force (F) applied over some small time (dt). A dot product takes two vectors (Force and time) and converts them to a scalar quantity.

New kid on the Block

Joined: 13 Feb 2011
Posts: 14
22 Nov 2011 16:30:40 IST
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thanks

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Joined: 29 Dec 2006
Posts: 5524
9 Feb 2012 10:05:48 IST
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Product of two vectors can be vector (vector product) or scalar (scalar product). In this case work is scalar product of force and displacement.

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