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# (Solved): A spring is linear if it obeys Hooke's Law, which indicates that the applied force to stretch the sp ...

A spring is linear if it obeys Hooke's Law, which indicates that the applied force to stretch the spring is

F(x)=kx

. For a linear spring,

F^(')

is constant. If, instead,

F^(')

is not constant, then the spring is called nonlinear. Furthermore, if

F^(')

increases as

x

increases, then the spring is said to be progressive, and if

F^(')

decreases as

x

increases, then the spring is said to be degressive. Let

F(x)=20\sqrt(3x)

be the applied force function for a spring (with

F

in N and

x

in cm ). Indicate whether the spring is progressive or degressive. Select the true statement about the spring. The spring is progressive. The spring is degressive. Compute the work required to stretch the spring from 6 to 10 cm . (Use decimal notation. Give your answer to two decimal places.)

W~~

N-cm

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