contestada

A spring has an elastic constant of 8.75 x 103 N/m. What is the magnitude of the force required to stretch this spring a distance of 28.6 cm from its equilibrium position?

Respuesta :

Given :

A spring has an elastic constant of 8.75 x 10³ N/m.

To Find :

The magnitude of the force required to stretch this spring a distance of 28.6 cm from its equilibrium position.

Solution :

We know, force required to stretch a spring of spring constant k and distance x is given by :

[tex]F = \dfrac{kx^2}{2}[/tex]

Putting all given values, we get :

[tex]F = \dfrac{8.75\times 10^3 \times 0.286^2}{2}\\\\F = 357.86\ N[/tex]

Hence, this is the required solution.