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a. How much work does an elevator motor do to lift a 1000kg elevator a height of 100m?

b. How much power must the motor supply to do this in50 s at constant speed?

Short Answer

Expert verified

a). work done by elevator motor is 9.8·105J

b). power is19620W

Step by step solution

01

Step 1. Given information

mass m=1000kg

heighth=100m

02

Step 2. Work done by elevator motor

work that elevator motor does to elevator is equal to difference in potential energy

Emotor=∆Epotential=mg∆h=1000kg·9.8m/s2·100m=9.81·105J

03

Step 3. Find the power

power is defined as the rate at which transfer energy(in our case work done by elevator motor) Then we have,

P=Emotor∆t=9.81·105J50s=19620W

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