Why......why WORK DONE BY THE FORCE a scaler quantity ?
It should be vector....
coz w=f*s
i.e. w= vector*scaler
or., w=vector.
but it is a scaler ? why so ????????????
2006-11-27 20:30:29 · 8 answers · asked by Nainika S 1 in Science & Mathematics ➔ Physics
I think you study in 10th standard or lower.
There are two forms of vector products
1) Dot product ,2) Cross product
Assume that, A & B are two vectors,
Then the cross product of A & B is defined as A.B= |A||B| cos x
x = the angle between A & B.
& the cross product is defined as A X B = |A||B| sin x
The dot product & the cross product is such that
A.B is a scalar (not scaler) quantity & A X B is a vector quantity.
Now,
Work = Force . Displacement
= F(vec.). s( vec.) [ your conception is wrong, displacement is a vector]
= Fs cos x
= a scalar quantity.
But you should have noted that the formula is actually,
W= Fs cos x & not W = Fs
2006-11-27 21:52:55 · answer #1 · answered by s0u1 reaver 5 · 0⤊ 0⤋
when you displace some object against some force, you do work. In this process, you spend some energy which is gained by the body.
There are 2 types of quantities- scalars and vectors. There are some scalar quantities which are obtained by multiplying two vectors. Thats why two kinds of product are defined for vectors. So just think in the reverse way. Work done is scalar because it is scalar. And thats why it is obtained by the scalar product of two vectors.
2006-11-28 00:15:09 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The product of 2 vectors needn't be always a vector quantity
it wud be either scalar or vector
F.S ,the dot product of force & displacement , of course is a scalar quantity
F & S r both vectors
so work done W is a scalar
2006-11-28 00:31:06 · answer #3 · answered by HAMBYDEN 2 · 0⤊ 0⤋
Displacement is also vector. Distance is the one that is scalar.
W = FS
= Force*Displacement
= Vector*Vector
= Scalar
Additionally, work is always scalar as direction is never needed. Work can be done only in one direction. Only the magnitude of Work is always considered. In higher classes, the formula is more complex. Then, you'll learn that Work = F*S*Cos theta.
But the above info is enough considering that you're a 9th grader.
2006-11-27 20:50:01 · answer #4 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
W=F.S=FSCosA (dot product).When we do dot product of 2 vectors it should be a scalar quantity. Hence Work done is a scalar quantity.
2006-11-27 22:49:13 · answer #5 · answered by Adithya M 2 · 0⤊ 0⤋
No , w=f.s not cross therofore there is a dot product not a cross product hence work can be negative as well as positive.
2006-11-27 20:55:18 · answer #6 · answered by sidd the devil 2 · 0⤊ 0⤋
work is the dot product of force and distance.
the dot product is always scalar.
2006-11-27 20:43:44 · answer #7 · answered by brandonlsmithe 2 · 0⤊ 0⤋
displacement is also sector
2006-11-29 20:35:36 · answer #8 · answered by Arun 2 · 0⤊ 0⤋