Question

Sarah weighs 500 newtons. She climbs a set of stairs 6 meters high. How much work does she do? 83 J Work equals force times distance. 0.012 J Work equals force times distance. * 3,000 J Work equals force times distance. 6,500 J Work equals force times distance.

Answer 1

Answer: Work equals force times distance. 3,000 J

Step-by-step explanation:

Work Done By A Force

When some force
`\vec F` is applied and a displacement
`\vec r` is achieved, the work done by the force is given by

`W=\vec F \cdot \vec r`

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

`W=F.x`

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

`W=500\ Nw.\ 6\ m=3,000\ Joule`

Answer: Work equals force times distance. 3,000 J