1. In 214 BC, Archimedes invented a large spherical-type mirror used to focus the sun’s intense rays onto far away enemy boats, which would

Question

1. In 214 BC, Archimedes invented a large spherical-type mirror used to focus the sun’s intense rays onto far away enemy boats, which would eventually light them on fire. If the boats were travelling in a nearby channel approximately 1,000 m from the river bank, what would the radius of curvature of his mirror need to be? Show your work.

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Khang Minh 5 years 2021-08-31T16:03:00+00:00 1 Answers 54 views 0

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  1. Doris
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    2021-08-31T16:04:21+00:00
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    Answer:

    2000 m

    Explanation:

    since the boat is 1000 m from the river bank, the beam must be focused at this point. This indicates that the focal length is 1000 m

    for a spherical mirror, the focal length is given by

    f = R/2

    where R is the radius of curvature

    1000 = R/2

    R = 2000 m

    R = 2000 m

    this means that the radius of curvature must be 2000 m

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