Escaping from a tomb raid gone wrong, Lara Croft (m = 62.0 kg) swings across an alligator-infested river from an 8.80-m-long vine. If her sp

Question

Escaping from a tomb raid gone wrong, Lara Croft (m = 62.0 kg) swings across an alligator-infested river from an 8.80-m-long vine. If her speed at the bottom of the swing is 6.30 m/s and she makes it safely across the river, what is the minimum breaking strength of the vine?

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Diễm Thu 3 years 2021-08-31T12:55:31+00:00 1 Answers 185 views 0

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    2021-08-31T12:56:32+00:00

    Answer:

    887.2 N

    Explanation:

    Given that

    Mass of Lara, m = 62 kg

    Length of the vine, l = 8.8 m

    Speed of the swing, v = 6.3 m/s Then,

    We start by calculating her weight.

    w = mass * acceleration

    w = mg

    w = 62 * 9.8

    w = 607.6 N

    F(c) = mv²/l, on substituting

    F(c) = (62 * 6.3²) / 8.8

    F(c) = 2460.78 / 8.8

    F(c) = 279.6 N

    T – 607.6 N = 279.6 N

    T = 607.6 N + 279.6 N

    T = 887.2 N

    Thus, the minimum breaking strength of the vine is 887.2 N

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