# Work in Calculus

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#### Storyboard Text

• Geez, this is heavy...
• At the Factory, Jill and Chris work their hardest to get a huge 800lb cable up to the construction site to make sure the crane is completely built.
• Boy, you're not kidding...
• Prime time
• Fellow scientists watch from afar at the crane being built, the length of the cable being 200ft when it is complete. Perhaps a tad too much. They gaze at their mathematical prowess, proud of the calculus skills they have.
• Is that going to hold?
• Probably...
• I think
• After the completion of the huge crane, the scientists now wonder how much work that must be done to lift the bottom end of the cable to the very tippy-top of the crane.
• And complete!
• Is it supposed to creak and wobble?
• But what if the cable was a spring, scaled down to 20 cm? If a 40 N force is required to stretch it to 30 cm, how much work is needed to stretch it to 35 to 38 cm?
• What are you talking about?
• Meanwhile, at the scientists house...
• I mean, if the rope weighs 3 lbs/ft, and it's attached to a bucket full of 300 lbs of makeup. And the bucket is at the bottom of a building at 300 ft. How much work is needed to lift it all the way to the top?
• Can't believe I live with this...
• I mean, that's how we met. In calculus class doing math together.
• Well...this is fun
• Victor Gildo, Period 5th, AP Calc, 3 Jun 2019
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