15kw provides power for the elevetor of six story building.the total mass of the loaded elevetor is 1000kg what is the minimum time needed for it to reach the 30m distance from the ground to the top floor
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The power of an object doing a work W in a given time t is given by
where:
P = power
W = work
t = time
Solving for F
F = weight = mg
F = (1,000 kg)(9.8 m/s²)
F = 9,800 N
Solving for W
W = Fd
W = (9,800 N)(30 m)
W = 294,000 J
Solving for t
Note: 15 kW = 15,000 W
Therefore, the minimum time needed is 19.6 s