The tension at which a fishing line snaps is commonly called the line's ""strength."" What minimum strength is needed for a line that is to stop a salmon of weight 83 N in 14 cm if the fish is initially drifting horizontally at 2.7 m/s? Assume a constant deceleration.

Question

Physics

Emily Lee

17 December, 09:27

The tension at which a fishing line snaps is commonly called the line's ""strength."" What minimum strength is needed for a line that is to stop a salmon of weight 83 N in 14 cm if the fish is initially drifting horizontally at 2.7 m/s? Assume a constant deceleration.

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Answers (1)

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Lorelei Hamilton · Answer 1

225.51 N

Explanation:

Using equation

v² = u² + 2as

where v final speed = 0, u initial speed = 2.7 m/s

and it deceleration - a

0 = 2.7² - 2 * 0.14 * a

-7.29 = - 0.28 a

a = - 7.29 / - 0.28 = 26.04 m/s²

weight = mg = 85 = m * 9.81

m = 85 N / 9.81 = 8.66 kg

minimum strength = 8.66 kg * 26.04 m/s² = 225.51 N