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The scale reads 28 N when the lower spring has been compressed by 2.2 cm . What is the value of the spring constant for the lower spring? Express your answer to two significant figures and include the appropriate units.

Respuesta :

Answer:

[tex]1.3 \cdot 10^2 N/m[/tex]

Explanation:

We can solve the problem by using Hooke's law:

[tex]F=kx[/tex]

where

F is the force applied to the spring

k is the spring constant

x is the compression/stretching of the spring

For the spring in the problem, we have

F = 28 N

x = 2.2 cm = 0.022 m

Solving for k, we find

[tex]k=\frac{F}{x}=\frac{28}{0.022}=1272 N = 1.3 \cdot 10^2 N/m[/tex]