A spring stretches by 21.0 cm when a 135 N object is attached. What is the weight of a fish that would stretch the spring by 31 cm?

Respuesta :

Answer:

199.28 N

Explanation:

It is given that,

A spring stretches by 21.0 cm when a 135 N object is attached.

We need to find the weight of a fish that would stretch the spring by 31 cm.

We know that, the force in a spring is given by as per Hooke's law as follows :

F = kx

Where k is spring constant

[tex]\dfrac{F_1}{F_2}=\dfrac{x_1}{x_2}\\\\\dfrac{135}{F_2}=\dfrac{21}{31}\\\\F_2=\dfrac{135\times 31}{21}\\\\F_2=199.28\ N[/tex]

So, the required weight of a fish is 199.28 N.

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