ENGR$101-$ Week $2$ Homework MATLAB

Please do the following problems on MATLAB Online or installed MATLAB $($not on Onramp$)$

Use Command Window to create a simple program to solve $-$

pts$.)$

$($i$)$ The surface area of a sphere is $4r^2.$ Find the surface area of a sphere with a radius of $5m.$

$($ii$)$ The volume of a sphere is $\frac{4}{3}{r}^3.$ Find the volume of a sphere with a radius of $3m.$

Redo Problem $1$ as a MATLAB script program using the Editor. Your file should include appropriate comments to identify each problem and to describe your calculation process. Don't forget to include your name, the date and your section number.

pts$.)$

Solve following problem as a MATLAB script program. Newton's law of universal gravitation tells us that the force exerted by one particle on another is

$F=\frac{G{m}_1{m}_2}{r^2}$

where the universal gravitational constant $G$ is found experimentally to be

$G=6\mathrm{.}673**{10}^{-11}N\frac{m^2}{k}{g}^2$

The mass of each particle is $m_1$ and $m_2,$ respectively, and $r$ is the distance between the two particles. Use Newton's law of universal gravitation to find the force exerted by the earth on the moon, assuming that

the mass of the earth is approximately $6**{10}^{24}kg,$

the mass of the moon is approximately $7\mathrm{.}4**{10}^{22}kg,$ and

the earth and the moon are an average of $3\mathrm{.}9**{10}^{8}m$ apart.

$(5$ pts$.)$