Physics problem on power involving escalators

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To determine the power rating of the escalator lifting passengers 6 meters in 40 seconds, the work done against gravity must be calculated using the formula w = fd, where f is the force (weight of the passengers) and d is the distance. The power can then be found using p = w/t, which indicates the rate of work done over time. As passengers are lifted, gravitational potential energy is increased, requiring energy input to the escalator. The discussion emphasizes the relationship between work, energy changes, and power in the context of the escalator's operation.
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Homework Statement



An escalator at a mall lifts passengers 6m. The escalator has to be able to lift 50-75kg people at one time up the lift. The time to make it to the top is 40s. What must the power rating of the escalator be?

Homework Equations


w=fd

p=w/t

The Attempt at a Solution


w=6f
 
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Please show your reasoning and your working.

When people get lifted up by the escalator, some energy changes: what kind?
This energy has to be supplied to the lift - power is the rate of change of energy.
 

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