Question

why work is a scalar quantity?

Answer 1

mathematically speaking, work is given by a \(scalar\) product, between two vectors quantities, namely, force and displacement

Answer 2

\[\huge W = {\mathbf{F}} \cdot {\mathbf{s}}\]
where \(W\) is work, \( {\mathbf{F}}\) is force, and \( {\mathbf{s}}\) is displacement

Answer 3

work is a product of two vectors so why it is not a vector

Answer 4

because such product is a \(scalar\) function, namely to each pair of vectors, corresponds, by means of such scalar product, a scalar or, a real number

Answer 5

another way to establish why work is a scalar quantity, is to note that work can be defined by only a number, namely its magnitude. In other words, work has not a direction, work has not an orientation, and direction and orientation are typical characteristics of a vector quantity

Answer 6

thnkz for help

Answer 7

:)