Question

The motor of an elevator can produce 2200w of power. The elevator has a mass of 1100kg complete with contents. At what constant speed will the elevator rise?

Answer 1

standard definition is \(P = \dfrac{\Delta W}{\Delta t}\)

here the work done by the motor "against" gravity is equivalent to the increase in potential energy of the elevator

so we can say:
\(P = \frac{d}{dt}~(mgh) = mg \dot h\)

\(\dot h\) is the speed at which the elevator will rise.....

Answer 2

P, m, g given

Answer 3

v=?