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A spring has spring constant 0.3 m/newton. What force is necessary to stretch the spring by 1.5 meters?

Respuesta :

If 1 newton pushes it 0.3 meters, it would take 1.5 / 0.3 newtons, or 5 newtons to push it 1.5 meters

Answer: 5 Newton

Step-by-step explanation:

We know that the Hooke's law states that the force 'F' needed to stretch or compress a spring by some distance 'a' is proportional to that distance .

[tex]F=\dfrac{a}{c}[/tex], where c is the spring constant.

Given: A spring has spring constant 0.3 m/newton.

The  force is necessary to stretch the spring by 1.5 meters is given by :-

[tex]\Rightarrow\ F=\dfrac{1.5}{0.3}\\\\\Rightarrow\ F=5[/tex]

Hence, the  force is necessary to stretch the spring by 1.5 meters = 5 Newton .

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