Question

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?

Answer 1

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.

                                        $F_{applied}$ = kx

k = string constant

x = string extension  

                              $x = \frac{F_{applied} }{k}$

                              $x = \frac{+280N} }{540N/m}$

                              $x = \frac{F_{applied} }{k}$

                                      x = +0.5185m

                                      x = +0.52m

The displacement of the bow string is +0.52m