Respuesta :

Answer:

Power= 1306.67 Watt

Explanation:

Power

The concept of power is related to how long it takes to some agent to do work.  The work done by a force [tex]\vec F[/tex] is

[tex]W=\vec F \cdot \vec x[/tex]

Where [tex]\vec x[/tex] is the displacement. The operation is known as dot-product which results in a scalar equal to the magnitude of the projection of F by the distance.

The power can be computed by

[tex]\displaystyle P=\frac{W}{t}[/tex]

In this case, the force Lawrence is applying is the necessary to lift the object and beat its weight, so

[tex]F=mg=100\ kg\ 9.8\ m/s^2=980\ J[/tex]

The power is:

[tex]\displaystyle P=\frac{980}{0.75}=1306.67\ Watt[/tex]