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The work needed to lift the 50 kg weight to a 3 m high shelf is calculated as W = mgh, where m = mass (50 kg), g = acceleration due to gravity (9.8 m/s^2), and h = height (3 m). Plugging in the values gives W = 50 kg * 9.8 m/s^2 * 3 m = 1470 J. Therefore, 1470 Joules of work is needed to lift the weight.

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