Question

Lawrence is able to lift 100kg to a height of 1.5m in 0.75 seconds. how much power did lawrence use?

Answer 1

Power= 1306.67 Watt

Step-by-step 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
`\vec F` is

`W=\vec F \cdot \vec x`

Where
`\vec x` 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

`\displaystyle P=(W)/(t)`

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

`F=mg=100\ kg\ 9.8\ m/s^2=980\ J`

The power is:

`\displaystyle P=(980)/(0.75)=1306.67\ Watt`