Consider a system consisting of point masses in $3$D$.$ Write a $C$ code that calculates the center of gravity. The number of masses $($N$)$ will be input. Each point$-$mass has its location $(x,y,z)$ and mass value $(kg).(40pts)$

The center of gravity can be expressed in vector form as:

$R=\frac{1}{M_{\text{T}\text{o}\text{t}\text{a}\text{l}}}{\displaystyle \underset{i=1}{\overset{N}{}}}{m}_i{r}_i$ where $M_{\text{T}\text{o}\text{t}\text{a}\text{l}}={\displaystyle \underset{i=1}{\overset{N}{}}}{m}_i$

It can also be calculated separately for each coordinate.

$x=\frac{m_1{x}_1+m_2{x}_2+m_3{x}_3+\text{c}\text{d}\text{o}\text{t}\text{s}}{m_1+m_2+m_s+\text{d}\text{o}\text{t}\text{s}},Y=\frac{m_1{y}_1+m_2{y}_2+m_3{y}_3+\text{c}\text{d}\text{o}\text{t}\text{s}}{m_1+m_2+m_3+\text{c}\text{d}\text{o}\text{t}\text{s}},Z=\frac{m_{1}z+m_2{z}_2+m_3{z}_3+\text{c}\text{d}\text{o}\text{t}\text{s}}{m_1+m_2+m_3+\text{d}\text{o}\text{t}\text{s}}$

You are supposed to use arrays. The masses and their locations can be stored in arrays. For example, you may use four $1-$D arrays for each $($mass$,x,y,z.$ Then the center of gravity can be calculated with array operations.