A $56\mathrm{.}0-$kg projectile is fired at an angle of $30\mathrm{.}0\backslash$deg above the horizontal with an initial speed of $1\mathrm{.}24102$ m$/$s from the top of a cliff $168$ m above level ground, where the ground is taken to be y $=0./9\mathrm{.}09$ Points$]$

A satellite moves in a circular orbit around Earth at a speed of $5467\frac{\mathrm{????}}{\mathrm{????}}.$

$($a$)$ Determine the satellite's altitude above the surface of Earth.

Your response differs from the correct answer by more than $10\%.$ Double check your $$lculations$.\mathrm{????}$

$($b$)$ Determine the period of the satellite's orbit.

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. $ℎ$

Points

$($a$)$ What is the initial total mechanical energy of the projectile?

J

$($b$)$ Suppose the projectile is traveling $87\mathrm{.}9$ m$/$s at its maximum height of y $=328$ m$.$ How much work has been done on the projectile by air friction?

J

$($c$)$ What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up$?$