Answer:
Answer: Work equals force times distance. 3,000 J
Explanation:
Work Done By A Force
When some force [tex]\vec F[/tex] is applied and a displacement [tex]\vec r[/tex] is achieved, the work done by the force is given by
[tex]W=\vec F \cdot \vec r[/tex]
Note that the work is a scalar magnitude as the result of the dot-product of two vectors. If the force and the displacement are parallel, then the vectors can be replaced as its magnitudes F,x and the work is
[tex]W=F.x[/tex]
The dot product becomes a simple arithmetic product, i.e force times distance.
Sara weighs 500 Nw and she climbs up a 6 meter set of stairs. She needs to lift her weight up, so the force is the weight and the distance is the height of the stairs, thus
[tex]W=500\ Nw.\ 6\ m=3,000\ Joule[/tex]
Answer: Work equals force times distance. 3,000 J