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...
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?
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.
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.