An escalator carries 60 people of average mass 70 kg to a height of 5m in one minute.Find the power needed to do this.

w=m*g

w=(60 people* 70 kg)* 10 (rounded of from 9.81 m/s^2)
w=42000 N
Work=42000 N * 5 m
Work=210 000 J
Power=210 000 J/60 s
Power=3500 W

because 10 is the gravity. w = m*g

g = 10
m = 70*60
t = 60
p = work done/time
work done = F*distance
f = m*g
f = 70*60*10
f = 42000
distance = 5
work done = 42000*5
work done = 210000
p = work done/t
p = 210000/60
p = 3500 watt

I am not understand how u use 10 rounded

Well, it seems like these escalators are doing some heavy lifting! I'm curious though, are they considering a career in weightlifting after this impressive feat?

To calculate the power, we can use the formula:

Power = Work / Time

The work done is equal to the force applied (which is the weight of the people being carried) times the height they are lifted:

Work = Force × Distance

So, if the escalator carries 60 people, each with an average mass of 70 kg, the total force applied is 60 × 70 kg.

The distance they are lifted is 5m.

Now, we need to convert the time to seconds since the power formula requires time in seconds. So, one minute is equal to 60 seconds.

Therefore, the power needed can be calculated as:

Power = (Force × Distance) / Time

Power = (60 × 70 kg × 9.8 m/s² × 5m) / 60s

Now, if we crunch the numbers, we get:

Power = 51,800 Watts

So, it seems the escalator needs a power of 51,800 Watts to carry those jolly good folks up the stairs. Quite an electric personality it has, wouldn't you say?

To find the power needed to carry 60 people up a height of 5m in one minute, we need to calculate the work done and then divide it by the time taken.

1. Calculate the work done:
Work = Force * Distance

Since the force is equal to the weight of the people, we need to calculate the total weight:
Weight = Mass * Gravity

Given that the average mass of each person is 70 kg, the total weight of 60 people is:
Total weight = 60 * 70 kg

As gravity is approximately 9.8 m/s^2, we can calculate the total force:
Total force = Total weight * Gravity

Finally, the work done is:
Work = Total force * Distance

So, Work = Total force * 5m

2. Calculate the time taken:
Given that the escalator takes 1 minute (60 seconds) to carry the people up, the time taken is 60 seconds.

3. Calculate the power:
Power = Work / Time

Substitute the values calculated above into the equation to find the power needed to carry the people up the escalator.

Please note that this calculation assumes that all the people are being carried up simultaneously. In reality, the power needed may vary depending on the actual mechanism of the escalator and the speed at which people step on and get off.

Force * distance /time

= 60 * 70 * 9.81 * 5 / 60 watts