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]