A particle of mass

is moving along a guide wire with shape given by

$,$ where

is in meters. The particle's horizontal velocity component is a constant

and gravity

acts vertically.

Python Inputs:

import numpy as np

from sympy import $*$

x $=$ symbols$(\text{'}$x$\text{'},$ real $=$ True$)$

m $=8$

y $=-4*$cos$(2*$x$)$

vx $=-4$

g $=-9\mathrm{.}8$

x$\_$v $=7$

What is the force

of the wire on the particle when