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How far up can a 200 N elevator be lifted with 600 j of energy

2 Answers

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Final answer:

To find out how far a 200 N elevator can be lifted with 600 J of energy, the gravitational potential energy formula (Work = mgh) is used to calculate the height by rearranging it to h = W / (mg), yielding the answer.

Step-by-step explanation:

The question concerns the amount of work (energy expenditure) needed to elevate an object against the force of gravity. Using the work-energy principle, we know that work done on an object is equal to the change in its gravitational potential energy, which can be calculated using the formula Work (W) = mgh, where m is mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height. Given an energy of 600 J, we can calculate the height (h) the elevator can be lifted by rearranging the formula: h = W / (mg). With 200 N representing the weight of the elevator (which also equals the mass times the acceleration due to gravity), the mass (m) of the elevator can be determined as m = 200 N / g, and subsequently, the height it can be lifted with 600 J of energy can be calculated.

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