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11 January, 20:20

A spider crawling across a table leaps onto a magazine blocking its path. The initial velocity of the spider is 0.870 m/s at an angle of 35.0° above the table, and it lands on the magazine 0.0770s after leaving the table. Ignore air resistance. How thick is the magazine? Express your answer in millimeters.

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  1. 11 January, 20:36
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    Thickness of magazine = 9.42 mm.

    Explanation:

    Considering vertical motion of spider:-

    Initial velocity, u = 0.870 sin 35 = 0.5 m/s

    Acceleration, a = - 9.81 m/s²

    Time, t = 0.077 s

    We have equation of motion s = ut + 0.5 at²

    Substituting

    s = 0.5 x 0.077 - 0.5 x 9.81 x 0.077²

    s = 9.42 x 10⁻³ m = 9.42 mm

    Thickness of magazine = 9.42 mm.
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