The compressed spring of a dart gun has potential energy of 50 J. If the spring constant is 200 N/m, what is the displacement of the spring?

Respuesta :

The displacement of the spring is 0.71 m

Explanation:

The elastic potential energy stored in a spring is given by

[tex]U=\frac{1}{2}kx^2[/tex]

where

k is the spring constant

x is the displacement of the spring, measured with respect to the equilibrium position

For the spring in this problem, we have:

U = 50 J is the potential energy

k = 200 N/m is the spring constant

Solving for x, we find the displacement:

[tex]x=\sqrt{\frac{2U}{k}}=\sqrt{\frac{2(50)}{200}}=0.71 m[/tex]

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Answer:

0.7 m

Explanation :

correct on edge