A fisherman is using a very light fishing line that breaks when the tension exceeds 20N. He lifts a fish vertically out of the water with an upwards acceleration of 2 m/s^2. What is the largest mass of the fish for which the line will hold?

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Pope

Physics

23 December, 02:56

A fisherman is using a very light fishing line that breaks when the tension exceeds 20N. He lifts a fish vertically out of the water with an upwards acceleration of 2 m/s^2. What is the largest mass of the fish for which the line will hold?

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Answers (1)

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Bryson Mejia · Answer 1

1.695 kg

Explanation:

maximum tension, T = 20 N

acceleration, a = 2 m/s^2

acceleration due to gravity, g = 9.8 m/s^2

Let the mass of fish is m.

Use Newton's second law

T - mg = ma

T = m (g + a)

20 = m (9.8 + 2)

m = 1.695 kg

Thus, the largest mass of the fish is 1.695 kg.