A swimming area in a rotating space habitat is located in a region of 1/4 g. If a diver can jump 1 m high in a 1-g region, how high can the

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A swimming area in a rotating space habitat is located in a region of 1/4 g. If a diver can jump 1 m high in a 1-g region, how high can the same diver jump in the swimming area

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Lệ Thu 5 years 2021-08-29T04:11:53+00:00 1 Answers 15 views 0

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  1. Euphemia
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    2021-08-29T04:13:08+00:00
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    Answer:

    The diver can jump a height of 4m in the swimming area.

    Explanation:

    Using the kinematics equation of the final velocity in terms of the distance, we have that:

    v_{fy}^{2} =v_{oy}^{2}-2gy

    Since the final velocity is zero (because the diver comes to a stop in his maximum height), we conclude:

    v_{oy1}^{2} =2g_1y_1;v_{oy2}^{2} =2g_2y_2

    If we assume that the initial velocity is conserved (as the diver jumps with this initial velocity every time), we obtain:

    v_{oy1}^{2}=v_{oy2}^{2}\\\\2g_1y_1=2g_2y_2\\\\y_2=\frac{g_1y_1}{\frac{1}{4} g_1} \\\\y_2=4y_1\\\\\implies y_2=4m

    In words, the diver can jump a height of 4m in the swimming area.

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