An elevator system must lift a total load of 1100kg to the t

An elevator system must lift a total load of 1100kg to the top of a 200m tall building in 30s. How much power is needed to run this elevator system?

Solution

POWER = WORK /TIME

WORK = FORCE * DISTANCE

FORCE = MASS * ACCELERATION

FORCE = 1100 * 9.8

FORCE = 10,780 N

WORK = 10,780 * 200 m

WORK = 2156 * 10^3

POWER = 2156 * 10^3 / 30

POWER = 71.86 KW