Power of Elevator: Calculating Motor Power Needed

[blayman5]

Homework Statement

An elevator has a mass of 956 kg and car-
ries a maximum load of 764 kg. A constant
frictional force of 4150 N retards its motion
upward.
The acceleration of gravity is 9.8 m/s2 .
What power must the motor deliver at a
instantaneous speed of 4.69m/s if the elevator
is designed to provide an upward acceleration
of 1.07 m/s2? Answer in units of W.

The Attempt at a Solution

F=ma
N-mg=(me+ml)a
N=(me+ml)(a+g)
F=N-frictional force
P=Fv

I was wondering if this progression of the problem would be logical to solve for the power.

 

[blayman5]

I got it:

Fy=ma
N-mg-f=ma
N=(me+ml)(g+a) + friction

P= Nv

=107144.616