A particle of mass

m$=4$ kg

is moving along a guide wire with shape given by

y$($x$)=3$sin$($x$)$m

$,$ where

x

is in meters. Gravity

g

$$

$=9\mathrm{.}8$

$$

$^$

$$

m$/$s

$2$

acts vertically. At the current instant the particle has

x$=4$ m

and it is moving to the left. Its current speed is

v$=1$ m$/$s

$,$ which is increasing at a rate of

$4$ m$/$s

$2$

$.$ Python Inputs: import numpy as np from sympy import $*\backslash [\backslash$begin$\{$array$\}\{$l$\}$ x$=\backslash$operatorname$\{$symbols$\}\backslash$left$(\text{'}$ x$^\{\backslash$prime$\},\backslash$text $\{$ real $\}=\backslash$text $\{$ True $\}\backslash$right$)\backslash \backslash$ m$=4\backslash \backslash$ y$=3*\backslash$sin $($x$)\backslash \backslash$ g$=-9\mathrm{.}8\backslash \backslash$ x $\backslash \_$v$=4\backslash \backslash \backslash$text $\{$ VMag $\}=1\backslash \backslash \backslash$text $\{$ vDotMag $\}=4\backslash$end$\{$array$\}\backslash ]$ What is the force

F

w

$$

of the wire on the particle? $\backslash [\backslash$vec$\{$F$\}\_\{\backslash$mathrm$\{$w$\}\}=\backslash ]$

$$

$^$

$+$

$?$

$$

$^$

$$

N