Question

The space shuttle orbits at 248 km per hour above the earth how often do the astronauts see the sunrise in minutes

Mass of the earth 5.97 times 10 to the 24th

Radius of the earth 6800km

G = 6.67times 10 to the negative 11 m cubed kg to the negative 1 s to the negative 2

Answer 1

98.13 minutes

Step-by-step explanation:

Given data:

Radius of the earth = 6800km.

Hence, Total radius of satellite orbit = 7048 km (6800+248) or 7048000m.

orbital period can be determine as

`T = 2\pi \sqrt{(r^3)/(Gme)}`

where,

r = orbital radius,

m = mass of earth

and Ge = gravitational constant.

putting all value in above equation

`T = 2\pi \sqrt{((7.048* 10^6)^3)/((6.67* 10^(-11)* 5.97* 10^24))}`

`= 6.28* (350.11)/(39.82) * 10^5`

`= 58.88* 10^2`

= 5888 sec

= 98.13 minutes