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A fisherman has caught a very large, 5.0kg fish from a dock that is 2.0m above the water. He is using lightweightfishing line that willbreak under a tension of 54N or more. He is eager to the fish to the dock in the shortest time possible. If the fish is at rest at the water's surface, what is the least amount of time in which the fisherman can raise the fish to the dock without losing it?

Respuesta :

Answer:

t = 2 s

Explanation:

As we know that fish is pulled upwards with uniform maximum acceleration

then we will have

[tex]T - mg = ma[/tex]

here we know that maximum possible acceleration of so that string will not break is given as

[tex]T = 54 N[/tex]

now we have

[tex]54 - (5 \times 9.8) = 5 a[/tex]

[tex]a = 1 m/s^2[/tex]

now for such acceleration we can use kinematics

[tex]d = \frac{1}{2}at^2[/tex]

[tex]2 = \frac{1}{2}(1) t^2[/tex]

t = 2 s

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