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Math Help - Physics urgent help plz.

  1. #1
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    Physics urgent help plz.

    Problem:
    A fisherman yanks a fish out of the water with a=4.5 m/s^2 using a light fishing line (neglect the weight of the fishing line) which has a test value of 22N: The line snaps -- What can you say about the weight of the fish?

    Answer: The mass of the fish is more than 1.5kg

    Can anyone show me how to work this question out?

    Thank you very much.
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  2. #2
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    Quote Originally Posted by MonkiezDevil View Post
    Problem:
    A fisherman yanks a fish out of the water with a=4.5 m/s^2 using a light fishing line (neglect the weight of the fishing line) which has a test value of 22N: The line snaps -- What can you say about the weight of the fish?

    Answer: The mass of the fish is more than 1.5kg

    Can anyone show me how to work this question out?

    Thank you very much.
    Net force = T - mg where T is the tension in the line, m is the mass of the fish and g = 9.8 is the acceleration due to gravity.

    But net force = ma = m(4.5).

    Therefore 4.5 m = T - 9.8m => 14.3 m = T.

    The maximum value of T is 22N. If the line snaps, then T > 22N.

    Therefore 14.3 m > 22 => m > 22/14.3 = 1.5 (correct to 1 decimal place).
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