Question

A fish (6 kg) is being yanked vertically upward out of the water and the fishing line breaks. If the line is rated to a maximum tension of 150 N (~ 33 lb test), then what was the minimum acceleration of the fish (in m/s2)?

Answer 1

15.2 m/s²

Step-by-step explanation:

Acceleration: This can be defined as the rate of change of velocity. The S.I unit of acceleration is m/s²

From the question,

F-W = ma......................... Equation 1

Where F = Tension on the line, W = weight of the fish, m = mass of the fish, a = acceleration of the fish.

But,

W = mg........................ Equation 2

Where g = acceleration due to gravity.

Substitute equation 2 into equation 1

F-mg = ma

make a the subject of the equation

a = (F-mg)/m.................... Equation 3

Given: F = 150 N, m = 6 kg,

Constant: g = 9.8 m/s²

Substitute into equation 2

a = [150-(6×9.8)]/6

a = (150-58.8)/6

a = 91.2/6

a = 15.2 m/s²

Hence the minimum acceleration of the fish = 15.2 m/s²