Respuesta :

Answer:

4J

Explanation:

Hooke's Law states:

F = -kx

where F = force

k = spring constant

x = displacement of spring

20 = -(50)x

-20/50 = x = -2/5

We can now use this information to find the energy in the Elastic Potential Energy Formula which is...

1/2(k)(x)^2

1/2(50)(2/5)^2 = 4J

The energy stored will be "4 J".

Given:

  • Force, F = 20 N
  • Spring constant, k = 50 N/m

By using the Hooke's law states,

→ [tex]F = -kx[/tex]

By substituting the values, we get

→ [tex]20= -(50) x[/tex]

    [tex]x = -\frac{20}{50}[/tex]

       [tex]= -\frac{2}{5}[/tex]

hence,

The energy will be:

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

By putting the values,

= [tex]\frac{1}{2}\times 50\times (\frac{2}{5} )^2[/tex]

= [tex]4 \ J[/tex]

Thus the above answer is right.    

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