A hot air balloon is floating 250 meters above the ground. It is tied to a stake in the ground with a rope (also of length 250 m) whose linear density is 0.1 kg/m. The rope is untied, and the balloon operator pulls it up into the basket. We know that the energy, E, required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hot air balloon is floating 250 meters above the ground. It is tied to a stake in the ground with a rope (also of length 250 m) whose linear density is 0.1 kg/m. The rope is untied, and the balloon operator pulls it up into the basket.

We know that the energy, E, required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2).

How much energy is required in total to pull up the rope?

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