$($e$)$ The mass $m$ will be different on Mars.

$13.(8$ pts $)$ Future space stations will create artificial gravity by rotating at a certain angular velocity. Consider a cylindrical space station $155$ m in radius rotating about its central axis. Astronauts walk on the inside surface of the space station and experience "normal" gravity $(9\mathrm{.}8\frac{m}{s^2}).($a$)$ What is angular velocity of this space station? $($b$)$ What is the rotational period, i$.$e$.,$ how long does one full rotation take when rotating at this angular velocity?

$(2$ pts$)$ Which one of the following statements best explains why the weight of an object of mass $m$ is different on Mars than it is on the Earth?

$q,$ an The mass of Mars is different from that of Earth.

b$)$ The masses and radii of Mars and Earth are not the same.

c$)$ The mass $m$ is further from the center of the planet when it is on Mars.

d$)$ The constant $G$ is different on Mars.

$($e$)$ The mass $m$ will be different on Mars.