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43 votes
43 votes
Help me quick!!! please!!

Calculate the power of an engine which raises a mass of 1000 kg to a height of 40 m in 10 s.

User Petey
by
2.4k points

2 Answers

15 votes
15 votes

Answer:

P=39200W

Step-by-step explanation:

P=(mgh)/t

P=(40×9.8×1000)/10

P=39200W

User Jaykishan
by
3.1k points
19 votes
19 votes

Answer:

39.240 W

Step-by-step explanation:

Let's start by calculating the work done by the engine. We can assume that it is the same work done by the weight of the object to bring it from 40m to the surface: as much energy it takes to bring it up, the same ammount it takes to bring it down. Said work is
w= \vec F\cdot \vec{h} = mg h = 1000 * 9.81* 40 = 392.400 J

At this point we can simply apply the definition of power, that is
P = \frac wt, to get the power of the engine is
39.240 W

User RobotNerd
by
3.4k points