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Chapter 6: Problem 67

In Section \(6.2,\) Rosie lifts a trunk weighing \(220 \mathrm{N}\) up $4.0 \mathrm{m} .\( If it take her \)40 \mathrm{s}$ to lift the trunk, at what average rate does she do work?

Short Answer

Expert verified
Answer: The average rate at which Rosie does work is 22 watts.

Step by step solution

01

Find the force exerted by Rosie

To calculate the force exerted by Rosie, we simply use the given weight of the trunk which is 220 N, as the weight is equal to the force exerted when lifting the trunk. Force = 220 N
02

Find the work done

Now, we can find the work done by multiplying the force exerted (220 N) with the distance lifted (4 m). Work = Force x Distance Work = 220 N × 4 m Work = 880 J
03

Calculate the average rate at which Rosie does work

As we have found the work done by Rosie, we can now calculate the average rate of work done by dividing the total work done by the time taken to lift(which is 40 s). Average rate of work = Work done / Time taken Average rate of work = 880 J / 40 s Average rate of work = 22 W The average rate at which Rosie does work while lifting the trunk is 22 watts.

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