An archer, about to shoot an arrow, is applying a force of +280 N to a drawn bow string. The bow behaves like an ideal spring whose spring constant is 540 N/m. What is the displacement of the bow string?

Respuesta :

Answer:

+0.52m

Explanation:

The force applied by the archer is directly proportional to the displacement of the bow string provided the elastic limit of the string is not exceeded.

                                        [tex]F_{applied}[/tex] = kx

k = string constant

x = string extension  

                              [tex]x = \frac{F_{applied} }{k}[/tex]

                              [tex]x = \frac{+280N} }{540N/m}[/tex]

                              [tex]x = \frac{F_{applied} }{k}[/tex]

                                      x = +0.5185m

                                      x = +0.52m

The displacement of the bow string is +0.52m                            

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